Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu2Si2

Mydosh, J. A.; Oppeneer, P. M.; Riseborough, P. S.

doi:10.1088/1361-648X/ab5eba

Title: Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu₂Si₂

Abstract

This topical review describes the multitude of unconventional behaviors in the hidden order, heavy fermion, antiferromagnetic and superconducting phases of the intermetallic compound URu₂Si₂ when tuned with pressure, magnetic field, and substitutions for all three elements. Such 'perturbations' result in a variety of new phases beyond the mysterious hidden order that are only now being slowly understood through a series of state-of-the-science experimentation, along with an array of novel theoretical approaches. Despite all these efforts spanning more than 30 years, hidden order (HO) remains puzzling and non-clarified, and the search continues in 2019 into a fourth decade for its final resolution. We attempt herein to update the present situation of URu₂Si₂ importing the latest experimental results and theoretical proposals. First, let us consider the pristine compound as a function of temperature and report the recent measurements and models relating to its heavy Fermi liquid crossover, its HO and superconductivity (SC). Recent experiments and theories are surmized that address four-fold symmetry breaking (or nematicity), Isingness and unconventional excitation modes. Second, we discuss the pressure dependence of URu₂Si₂ and its transformation to antiferromagnetic long-range order. Next we confront the dramatic high magnetic-field phases requiring fields above 40 T. And finally, we attemptmore »« less

Authors:

^[1];

^[2]; Riseborough, P. S. ^[3]

Leiden Univ. (Netherlands)
Uppsala Univ. (Sweden)
Temple Univ., Philadelphia, PA (United States)

Publication Date:: Thu Jan 09 00:00:00 EST 2020

Research Org.:: Temple Univ., Philadelphia, PA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Swedish Research Council (SRC); K. and A. Wallenberg Foundation; Swedish National Infrastructure for Computing (SNIC)

OSTI Identifier:: 1617899

Grant/Contract Number:: FG02-01ER45872

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. Condensed Matter

Additional Journal Information:: Journal Volume: 32; Journal Issue: 14; Journal ID: ISSN 0953-8984

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; hidden order; unconventional superconductivity; correlated electron system; Isingness; multifaceted phases

Citation Formats


                    Mydosh, J. A., Oppeneer, P. M., and Riseborough, P. S. Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu2Si2.  United States: N. p., 2020. 
Web.  doi:10.1088/1361-648X/ab5eba.

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                    Mydosh, J. A., Oppeneer, P. M., & Riseborough, P. S. Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu2Si2.  United States.  https://doi.org/10.1088/1361-648X/ab5eba

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                    Mydosh, J. A., Oppeneer, P. M., and Riseborough, P. S. Thu .  
"Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu2Si2".  United States.  https://doi.org/10.1088/1361-648X/ab5eba.  https://www.osti.gov/servlets/purl/1617899.

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@article{osti_1617899,

  title        = {Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu2Si2},

  author       = {Mydosh, J. A. and Oppeneer, P. M. and Riseborough, P. S.},

  abstractNote = {This topical review describes the multitude of unconventional behaviors in the hidden order, heavy fermion, antiferromagnetic and superconducting phases of the intermetallic compound URu2Si2 when tuned with pressure, magnetic field, and substitutions for all three elements. Such 'perturbations' result in a variety of new phases beyond the mysterious hidden order that are only now being slowly understood through a series of state-of-the-science experimentation, along with an array of novel theoretical approaches. Despite all these efforts spanning more than 30 years, hidden order (HO) remains puzzling and non-clarified, and the search continues in 2019 into a fourth decade for its final resolution. We attempt herein to update the present situation of URu2Si2 importing the latest experimental results and theoretical proposals. First, let us consider the pristine compound as a function of temperature and report the recent measurements and models relating to its heavy Fermi liquid crossover, its HO and superconductivity (SC). Recent experiments and theories are surmized that address four-fold symmetry breaking (or nematicity), Isingness and unconventional excitation modes. Second, we discuss the pressure dependence of URu2Si2 and its transformation to antiferromagnetic long-range order. Next we confront the dramatic high magnetic-field phases requiring fields above 40 T. And finally, we attempt to answer how does random substitutions of other 5f elements for U, and 3d, 4d, and 5d elements for Ru, and even P for Si affect and transform the HO. Commensurately, recent theoretical models are summarized and then related to the intriguing experimental behavior.},

  doi          = {10.1088/1361-648X/ab5eba},

  journal      = {Journal of Physics. Condensed Matter},

  number       = 14,

  volume       = 32,

  place        = {United States},

  year         = {Thu Jan 09 00:00:00 EST 2020},

  month        = {Thu Jan 09 00:00:00 EST 2020}

}

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Works referenced in this record:

Superconducting phases of $f$ -electron compounds
journal, November 2009

Pfleiderer, Christian
Reviews of Modern Physics, Vol. 81, Issue 4
DOI: 10.1103/RevModPhys.81.1551

Magnetically driven superconductivity in CeCu2Si2
journal, December 2010

Stockert, O.; Arndt, J.; Faulhaber, E.
Nature Physics, Vol. 7, Issue 2
DOI: 10.1038/nphys1852

First-Order Superconducting Phase Transition in $C e C o I n_{5}$
journal, September 2002

Bianchi, A.; Movshovich, R.; Oeschler, N.
Physical Review Letters, Vol. 89, Issue 13
DOI: 10.1103/PhysRevLett.89.137002

Intertwined Orders in Heavy-Fermion Superconductor ${CeCoIn}_{5}$
journal, December 2016

Kim, Duk Y.; Lin, Shi-Zeng; Weickert, Franziska
Physical Review X, Vol. 6, Issue 4
DOI: 10.1103/PhysRevX.6.041059

The superconducting phases of ${UPt}_{3}$
journal, March 2002

Joynt, Robert; Taillefer, Louis
Reviews of Modern Physics, Vol. 74, Issue 1
DOI: 10.1103/RevModPhys.74.235

Partially gapped Fermi surface in the heavy-electron superconductor ${URu}_{2}$ ${Si}_{2}$
journal, January 1986

Maple, M. B.; Chen, J. W.; Dalichaouch, Y.
Physical Review Letters, Vol. 56, Issue 2
DOI: 10.1103/PhysRevLett.56.185

Superconductivity and magnetic order in a strongly interacting fermi-system: URu2Si2
journal, June 1986

Schlabitz, W.; Baumann, J.; Pollit, B.
Zeitschrift f�r Physik B Condensed Matter, Vol. 62, Issue 2
DOI: 10.1007/BF01323427

Low moments in heavy-fermion systems
journal, June 1996

Buyers, W. J. L.
Physica B: Condensed Matter, Vol. 223-224
DOI: 10.1016/0921-4526(96)00027-0

Hidden order in ${URu}_{2} {Si}_{2}$
journal, January 2000

Shah, N.; Chandra, P.; Coleman, P.
Physical Review B, Vol. 61, Issue 1
DOI: 10.1103/PhysRevB.61.564

Crystal growth of some rare earth and uranium intermetallics from the melt
journal, December 1983

Menovsky, A.; Franse, J. J. M.
Journal of Crystal Growth, Vol. 65, Issue 1-3
DOI: 10.1016/0022-0248(83)90062-3

Magnetic properties and structural chemistry of ternary silicides (RE, Th, U)Ru2Si2 (RE = RARE EARTH)
journal, July 1983

Hiebl, K.; Horvath, C.; Rogl, P.
Journal of Magnetism and Magnetic Materials, Vol. 37, Issue 3
DOI: 10.1016/0304-8853(83)90058-6

Magnetic excitations and ordering in the heavy-electron superconductor ${URu}_{2}$ ${Si}_{2}$
journal, April 1987

Broholm, C.; Kjems, J. K.; Buyers, W. J. L.
Physical Review Letters, Vol. 58, Issue 14
DOI: 10.1103/PhysRevLett.58.1467

Neutron-scattering measurements of long-range antiferromagnetic order in ${URu}_{2}$ ${Si}_{2}$
journal, December 1990

Mason, T. E.; Gaulin, B. D.; Garrett, J. D.
Physical Review Letters, Vol. 65, Issue 25
DOI: 10.1103/PhysRevLett.65.3189

X-ray magnetic scattering in antiferromagnetic ${URu}_{2}$ ${Si}_{2}$
journal, December 1990

Isaacs, E. D.; McWhan, D. B.; Kleiman, R. N.
Physical Review Letters, Vol. 65, Issue 25
DOI: 10.1103/PhysRevLett.65.3185

Competition between hidden order and antiferromagnetism in ${URu}_{2} {Si}_{2}$ under uniaxial stress studied by neutron scattering
journal, December 2005

Yokoyama, M.; Amitsuka, H.; Tenya, K.
Physical Review B, Vol. 72, Issue 21
DOI: 10.1103/PhysRevB.72.214419

Thermal expansion and specific heat of monocrystalline U ${Ru}_{2}$ ${Si}_{2}$
journal, December 1986

de Visser, A.; Kayzel, F. E.; Menovsky, A. A.
Physical Review B, Vol. 34, Issue 11
DOI: 10.1103/PhysRevB.34.8168

Colloquium : Hidden order, superconductivity, and magnetism: The unsolved case of ${URu}_{2} {Si}_{2}$
journal, November 2011

Mydosh, J. A.; Oppeneer, P. M.
Reviews of Modern Physics, Vol. 83, Issue 4
DOI: 10.1103/RevModPhys.83.1301

Hidden order behaviour in URu ₂ Si ₂ (A critical review of the status of hidden order in 2014)
journal, May 2014

Mydosh, J. A.; Oppeneer, P. M.
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.916428

Neutron scattering studies on URu ₂ Si ₂
journal, July 2014

Bourdarot, Frederic; Raymond, Stephane; Regnault, Louis-Pierre
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.935513

Structural characterization of new ternary compounds of uranium and cerium
journal, August 1985

Cordier, G.; Czech, E.; Schäfer, H.
Journal of the Less Common Metals, Vol. 110, Issue 1-2
DOI: 10.1016/0022-5088(85)90340-6

Magnetochemistry and crystal chemistry of ternary actinoidmetal-silicides {Th, U}{Cu, Ru, Os, Ir, Pt}2Si2
journal, January 1987

Hiebl, K.; Rogl, P.
Journal of Nuclear Materials, Vol. 144, Issue 1-2
DOI: 10.1016/0022-3115(87)90294-7

Intermetallic compounds of rare-earth and 3d transition metals
journal, October 1977

Buschow, K. H. J.
Reports on Progress in Physics, Vol. 40, Issue 10
DOI: 10.1088/0034-4885/40/10/002

Seeded growth in a soft lined crucible: Application to phosphorus doped optical germanium single crystals
journal, December 1986

Azoulay, M.; Gafni, G.; Roth, M.
Journal of Crystal Growth, Vol. 79, Issue 1-3
DOI: 10.1016/0022-0248(86)90457-4

Super Clean Sample of URu ₂ Si ₂
journal, January 2008

D. Matsuda, Tatsuma; Aoki, Dai; Ikeda, Shugo
Journal of the Physical Society of Japan, Vol. 77, Issue Suppl.A
DOI: 10.1143/JPSJS.77SA.362

Spatially Inhomogeneous Development of Antiferromagnetism in ${URu}_{2} {Si}_{2}$ : Evidence from ${}^{29}S i$ NMR under Pressure
journal, August 2001

Matsuda, K.; Kohori, Y.; Kohara, T.
Physical Review Letters, Vol. 87, Issue 8
DOI: 10.1103/PhysRevLett.87.087203

Antiferromagnetic patches and hidden order in ${URu}_{2} {Si}_{2}$ by impurity doping
journal, April 2010

Baek, S. -H.; Graf, M. J.; Balatsky, A. V.
Physical Review B, Vol. 81, Issue 13
DOI: 10.1103/PhysRevB.81.132404

Parasitic Small-Moment Antiferromagnetism and Nonlinear Coupling of Hidden Order and Antiferromagnetism in ${URu}_{2} {Si}_{2}$ Observed by Larmor Diffraction
journal, March 2010

Niklowitz, P. G.; Pfleiderer, C.; Keller, T.
Physical Review Letters, Vol. 104, Issue 10
DOI: 10.1103/PhysRevLett.104.106406

Pressure–temperature phase diagram of the heavy-electron superconductor
journal, March 2007

Amitsuka, H.; Matsuda, K.; Kawasaki, I.
Journal of Magnetism and Magnetic Materials, Vol. 310, Issue 2
DOI: 10.1016/j.jmmm.2006.10.008

Details of Sample Dependence and Transport Properties of URu ₂ Si ₂
journal, November 2011

D. Matsuda, Tatsuma; Hassinger, Elena; Aoki, Dai
Journal of the Physical Society of Japan, Vol. 80, Issue 11
DOI: 10.1143/JPSJ.80.114710

High purity specimens of URu ₂ Si ₂ produced by a molten metal flux technique
journal, April 2014

Baumbach, R. E.; Fisk, Z.; Ronning, F.
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.895876

Single Crystal Growth of URu2Si2 by the Modified Bridgman Technique
journal, October 2016

Gallagher, Andrew; Nelson, William; Chen, Kuan
Crystals, Vol. 6, Issue 10
DOI: 10.3390/cryst6100128

Investigation of the crystal structure of URu2Si2 by high-resolution X-ray diffraction
journal, January 1999

Kernavanois, N.; de Réotier, P. Dalmas; Yaouanc, A.
Physica B: Condensed Matter, Vol. 259-261
DOI: 10.1016/S0921-4526(98)01005-9

Symmetry and correlations underlying hidden order in ${URu}_{2} {Si}_{2}$
journal, January 2015

Butch, Nicholas P.; Manley, Michael E.; Jeffries, Jason R.
Physical Review B, Vol. 91, Issue 3
DOI: 10.1103/PhysRevB.91.035128

Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
journal, January 2011

Okazaki, R.; Shibauchi, T.; Shi, H. J.
Science, Vol. 331, Issue 6016
DOI: 10.1126/science.1197358

Thermodynamic evidence for broken fourfold rotational symmetry in the hidden-order phase of URu2Si2
journal, November 2012

Shibauchi, T.; Matsuda, Y.
Physica C: Superconductivity, Vol. 481
DOI: 10.1016/j.physc.2012.04.012

Cyclotron Resonance in the Hidden-Order Phase of ${URu}_{2} {Si}_{2}$
journal, July 2012

Tonegawa, S.; Hashimoto, K.; Ikada, K.
Physical Review Letters, Vol. 109, Issue 3
DOI: 10.1103/PhysRevLett.109.036401

Possible Phase Transition Deep Inside the Hidden Order Phase of Ultraclean ${URu}_{2} {Si}_{2}$
journal, April 2009

Shishido, H.; Hashimoto, K.; Shibauchi, T.
Physical Review Letters, Vol. 102, Issue 15
DOI: 10.1103/PhysRevLett.102.156403

Fermi surface properties and de Haas–van Alphen oscillation in both the normal and superconducting mixed states of URu ₂ Si ₂
journal, July 1999

Ohkuni, H.; Inada, Y.; Tokiwa, Y.
Philosophical Magazine B, Vol. 79, Issue 7
DOI: 10.1080/13642819908214859

Similarity of the Fermi Surface in the Hidden Order State and in the Antiferromagnetic State of ${URu}_{2} {Si}_{2}$
journal, November 2010

Hassinger, E.; Knebel, G.; Matsuda, T. D.
Physical Review Letters, Vol. 105, Issue 21
DOI: 10.1103/PhysRevLett.105.216409

Direct observation of lattice symmetry breaking at the hidden-order transition in URu2Si2
journal, June 2014

Tonegawa, S.; Kasahara, S.; Fukuda, T.
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms5188

X-ray backscattering study of crystal lattice distortion in hidden order of URu ₂ Si ₂
journal, September 2014

Tabata, C.; Inami, T.; Michimura, S.
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.952701

Evidence for a nematic component to the hidden-order parameter in URu2Si2 from differential elastoresistance measurements
journal, March 2015

Riggs, Scott C.; Shapiro, M. C.; Maharaj, Akash V.
Nature Communications, Vol. 6, Issue 1
DOI: 10.1038/ncomms7425

NMR Study of In-Plane Twofold Ordering in ${URu}_{2} {Si}_{2}$
journal, June 2013

Kambe, S.; Tokunaga, Y.; Sakai, H.
Physical Review Letters, Vol. 110, Issue 24
DOI: 10.1103/PhysRevLett.110.246406

Dilute RKKY model for NMR line broadening in the hidden-order state of ${URu}_{2} {Si}_{2}$
journal, January 2016

Walstedt, R. E.; Kambe, S.; Tokunaga, Y.
Physical Review B, Vol. 93, Issue 4
DOI: 10.1103/PhysRevB.93.045122

Nuclear-resonance line shapes due to magnetic impurities in metals
journal, June 1974

Walstedt, R. E.; Walker, L. R.
Physical Review B, Vol. 9, Issue 11
DOI: 10.1103/PhysRevB.9.4857

¹⁰¹ Ru NQR and Hidden Order in URu ₂ Si ₂
journal, August 2005

Saitoh, Satoru; Takagi, Shigeru; Yokoyama, Makoto
Journal of the Physical Society of Japan, Vol. 74, Issue 8
DOI: 10.1143/JPSJ.74.2209

Symmetry of the Hidden Order in URu ₂ Si ₂ from Nuclear Magnetic Resonance Studies
journal, November 2012

Takagi, Shigeru; Ishihara, Shu; Yokoyama, Makoto
Journal of the Physical Society of Japan, Vol. 81, Issue 11
DOI: 10.1143/JPSJ.81.114710

Odd-parity electronic multipolar ordering in ${URu}_{2} {Si}_{2}$ : Conclusions from Si and Ru NMR measurements
journal, June 2018

Kambe, S.; Tokunaga, Y.; Sakai, H.
Physical Review B, Vol. 97, Issue 23
DOI: 10.1103/PhysRevB.97.235142

Pressure-induced rotational symmetry breaking in ${URu}_{2} {Si}_{2}$
journal, December 2018

Choi, J.; Ivashko, O.; Dennler, N.
Physical Review B, Vol. 98, Issue 24
DOI: 10.1103/PhysRevB.98.241113

Spin Nematic State as a Candidate of the Hidden Order Phase of ${URu}_{2} {Si}_{2}$
journal, May 2011

Fujimoto, Satoshi
Physical Review Letters, Vol. 106, Issue 19
DOI: 10.1103/PhysRevLett.106.196407

Modulated Spin Liquid: A New Paradigm for ${URu}_{2} {Si}_{2}$
journal, March 2011

Pépin, C.; Norman, M. R.; Burdin, S.
Physical Review Letters, Vol. 106, Issue 10
DOI: 10.1103/PhysRevLett.106.106601

Emergent rank-5 nematic order in URu2Si2
journal, June 2012

Ikeda, Hiroaki; Suzuki, Michi-To; Arita, Ryotaro
Nature Physics, Vol. 8, Issue 7
DOI: 10.1038/nphys2330

Hidden and antiferromagnetic order as a rank-5 superspin in URu $_{2}$ Si $_{2}$
journal, June 2012

Rau, Jeffrey G.; Kee, Hae-Young
Physical Review B, Vol. 85, Issue 24
DOI: 10.1103/PhysRevB.85.245112

Phase transition arising from the underscreened Anderson lattice model: A candidate concept for explaining hidden order in URu $_{2}$ Si $_{2}$
journal, April 2012

Riseborough, Peter S.; Coqblin, B.; Magalhães, S. G.
Physical Review B, Vol. 85, Issue 16
DOI: 10.1103/PhysRevB.85.165116

Hastatic order in the heavy-fermion compound URu2Si2
journal, January 2013

Chandra, Premala; Coleman, Piers; Flint, Rebecca
Nature, Vol. 493, Issue 7434
DOI: 10.1038/nature11820

Superconductivity from fractionalized excitations in ${URu}_{2} {Si}_{2}$
journal, October 2014

Hsu, Chen-Hsuan; Chakravarty, Sudip
Physical Review B, Vol. 90, Issue 13
DOI: 10.1103/PhysRevB.90.134507

Hastatic order in ${URu}_{2} {Si}_{2}$ : Hybridization with a twist
journal, May 2015

Chandra, Premala; Coleman, Piers; Flint, Rebecca
Physical Review B, Vol. 91, Issue 20
DOI: 10.1103/PhysRevB.91.205103

Unusual magnetic field-dependence of a possible hidden order phase
journal, August 2017

Calegari, Eleonir João; Magalhaes, Sergio Garcia; Riseborough, Peter S.
npj Quantum Materials, Vol. 2, Issue 1
DOI: 10.1038/s41535-017-0055-2

Neutron Scattering Experiments for the Study of In-Plane Ordered Moment in URu ₂ Si ₂
journal, May 2013

Metoki, Naoto; Sakai, Hironori; Yamamoto, Etsuji
Journal of the Physical Society of Japan, Vol. 82, Issue 5
DOI: 10.7566/JPSJ.82.055004

Strict limit on in-plane ordered magnetic dipole moment in ${URu}_{2}$ ${Si}_{2}$
journal, April 2014

Ross, K. A.; Harriger, L.; Yamani, Z.
Physical Review B, Vol. 89, Issue 15
DOI: 10.1103/PhysRevB.89.155122

Nature of the order parameter in the heavy-fermion system ${URu}_{2}$ ${Si}_{2}$
journal, October 1993

Walker, M. B.; Buyers, W. J. L.; Tun, Z.
Physical Review Letters, Vol. 71, Issue 16
DOI: 10.1103/PhysRevLett.71.2630

Anomalous phase transition in ${URu}_{2}$ ${Si}_{2}$
journal, July 1994

Agterberg, D. F.; Walker, M. B.
Physical Review B, Vol. 50, Issue 1
DOI: 10.1103/PhysRevB.50.563

Weak-magnetism phenomena in heavy-fermion superconductors: selected SR studies
journal, September 2004

Amato, A.; Graf, M. J.; Visser, A. de
Journal of Physics: Condensed Matter, Vol. 16, Issue 40
DOI: 10.1088/0953-8984/16/40/001

Effect of Pressure on Tiny Antiferromagnetic Moment in the Heavy-Electron Compound ${URu}_{2} {Si}_{2}$
journal, December 1999

Amitsuka, H.; Sato, M.; Metoki, N.
Physical Review Letters, Vol. 83, Issue 24
DOI: 10.1103/PhysRevLett.83.5114

Hidden order and weak antiferromagnetism in URu2Si2
journal, March 2002

Amitsuka, Hiroshi; Yokoyama, Makoto; Miyazaki, Shikou
Physica B: Condensed Matter, Vol. 312-313
DOI: 10.1016/S0921-4526(01)01343-6

Inhomogeneous magnetism in URu2Si2 studied by muon spin relaxation under high pressure
journal, February 2003

Amitsuka, H.; Tenya, K.; Yokoyama, M.
Physica B: Condensed Matter, Vol. 326, Issue 1-4
DOI: 10.1016/S0921-4526(02)01654-X

Evidence for broken time-reversal symmetry in the superconducting phase of ${URu}_{2} {Si}_{2}$
journal, April 2015

Schemm, E. R.; Baumbach, R. E.; Tobash, P. H.
Physical Review B, Vol. 91, Issue 14
DOI: 10.1103/PhysRevB.91.140506

A model for metastable magnetism in the hidden-order phase of URu $_{2}$ Si $_{2}$
journal, January 2018

Boyer, Lance; Yakovenko, Victor M.
Annals of Physics, Vol. 388
DOI: 10.1016/j.aop.2017.11.024

Signature of hidden order and evidence for periodicity modification in ${URu}_{2} {Si}_{2}$
journal, November 2010

Yoshida, Rikiya; Nakamura, Yoshiaki; Fukui, Masaki
Physical Review B, Vol. 82, Issue 20
DOI: 10.1103/PhysRevB.82.205108

Translational Symmetry Breaking and Gapping of Heavy-Quasiparticle Pocket in URu2Si2
journal, October 2013

Yoshida, Rikiya; Tsubota, Koji; Ishiga, Toshihiko
Scientific Reports, Vol. 3, Issue 1
DOI: 10.1038/srep02750

Signature of hidden order in heavy fermion superconductor ${URu}_{2} {Si}_{2}$ : Resonance at the wave vector $Q_{0} = (1,0,0)$
journal, July 2008

Villaume, A.; Bourdarot, F.; Hassinger, E.
Physical Review B, Vol. 78, Issue 1
DOI: 10.1103/PhysRevB.78.012504

Hidden order in URu2Si2 originates from Fermi surface gapping induced by dynamic symmetry breaking
journal, February 2009

Elgazzar, S.; Rusz, J.; Amft, M.
Nature Materials, Vol. 8, Issue 4
DOI: 10.1038/nmat2395

Electronic structure theory of the hidden-order material ${URu}_{2} {Si}_{2}$
journal, November 2010

Oppeneer, P. M.; Rusz, J.; Elgazzar, S.
Physical Review B, Vol. 82, Issue 20
DOI: 10.1103/PhysRevB.82.205103

The Kondo Problem to Heavy Fermions
book, January 1993

Hewson, Alexander Cyril
DOI: 10.1017/CBO9780511470752

Universality of the Mott–Ioffe–Regel limit in metals
journal, September 2004

Hussey ‖, N. E.; Takenaka, K.; Takagi, H.
Philosophical Magazine, Vol. 84, Issue 27
DOI: 10.1080/14786430410001716944

Hall-effect and resistivity study of the heavy-fermion system ${URu}_{2}$ ${Si}_{2}$
journal, April 1987

Schoenes, J.; Schönenberger, C.; Franse, J. J. M.
Physical Review B, Vol. 35, Issue 10
DOI: 10.1103/PhysRevB.35.5375

Temperature dependence of the resistivity due to localized spin fluctuations. II. Coles alloys
journal, September 1972

Rivier, N.; Zlatic, V.
Journal of Physics F: Metal Physics, Vol. 2, Issue 5
DOI: 10.1088/0305-4608/2/5/003

Far-Infrared Properties of ${URu}_{2}$ ${Si}_{2}$
journal, September 1988

Bonn, D. A.; Garrett, J. D.; Timusk, T.
Physical Review Letters, Vol. 61, Issue 11
DOI: 10.1103/PhysRevLett.61.1305

Detailed optical spectroscopy of hybridization gap and hidden-order transition in high-quality ${URu}_{2} {Si}_{2}$ single crystals
journal, December 2016

Bachar, N.; Stricker, D.; Muleady, S.
Physical Review B, Vol. 94, Issue 23
DOI: 10.1103/PhysRevB.94.235101

Optical study of hybridization and hidden order in URu ₂ Si ₂
journal, April 2014

Hall, J. S.; Timusk, T.
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.899439

Hybridization-driven orthorhombic lattice instability in URu $_{2}$ Si $_{2}$
journal, November 2013

Yanagisawa, T.; Mombetsu, S.; Hidaka, H.
Physical Review B, Vol. 88, Issue 19
DOI: 10.1103/PhysRevB.88.195150

Γ ₃ -Type Lattice Instability and the Hidden Order of URu ₂ Si ₂
journal, January 2013

Yanagisawa, Tatsuya; Mombetsu, Shota; Hidaka, Hiroyuki
Journal of the Physical Society of Japan, Vol. 82, Issue 1
DOI: 10.7566/JPSJ.82.013601

Search for multipolar instability in ${URu}_{2} {Si}_{2}$ studied by ultrasonic measurements under pulsed magnetic field
journal, April 2018

Yanagisawa, T.; Mombetsu, S.; Hidaka, H.
Physical Review B, Vol. 97, Issue 15
DOI: 10.1103/PhysRevB.97.155137

A Study of Elastic Properties of URu ₂ Si ₂ in Comparison with the Non-5 f Contribution of ThRu ₂ Si ₂
journal, December 2012

Yanagisawa, T.; Saito, H.; Watanabe, Y.
Journal of Physics: Conference Series, Vol. 391
DOI: 10.1088/1742-6596/391/1/012079

Arrested Kondo effect and hidden order in URu2Si2
journal, September 2009

Haule, Kristjan; Kotliar, Gabriel
Nature Physics, Vol. 5, Issue 11
DOI: 10.1038/nphys1392

On the Hidden Order in URu ₂ Si ₂ – Antiferro Hexadecapole Order and Its Consequences
journal, August 2011

Kusunose, Hiroaki; Harima, Hisatomo
Journal of the Physical Society of Japan, Vol. 80, Issue 8
DOI: 10.1143/JPSJ.80.084702

Bounding the pseudogap with a line of phase transitions in YBa2Cu3O6+δ
journal, June 2013

Shekhter, Arkady; Ramshaw, B. J.; Liang, Ruixing
Nature, Vol. 498, Issue 7452
DOI: 10.1038/nature12165

Magnetic excitations in the heavy-fermion superconductor ${URu}_{2}$ ${Si}_{2}$
journal, June 1991

Broholm, C.; Lin, H.; Matthews, P. T.
Physical Review B, Vol. 43, Issue 16
DOI: 10.1103/PhysRevB.43.12809

Itinerant spin excitations near the hidden order transition in URu ₂ Si ₂
journal, April 2009

Janik, J. A.; Zhou, H. D.; Jo, Y-J
Journal of Physics: Condensed Matter, Vol. 21, Issue 19
DOI: 10.1088/0953-8984/21/19/192202

Gapped itinerant spin excitations account for missing entropy in the hidden-order state of URu2Si2
journal, January 2007

Wiebe, C. R.; Janik, J. A.; MacDougall, G. J.
Nature Physics, Vol. 3, Issue 2
DOI: 10.1038/nphys522

Non-trivial magnetic order in URu ₂ Si ₂ ?
journal, June 1995

Mason, T. E.; Buyers, W. J. L.; Petersen, T.
Journal of Physics: Condensed Matter, Vol. 7, Issue 26
DOI: 10.1088/0953-8984/7/26/014

Role of commensurate and incommensurate low-energy excitations in the paramagnetic to hidden-order transition of ${URu}_{2} {Si}_{2}$
journal, September 2015

Niklowitz, P. G.; Dunsiger, S. R.; Pfleiderer, C.
Physical Review B, Vol. 92, Issue 11
DOI: 10.1103/PhysRevB.92.115116

Spin and orbital hybridization at specifically nested Fermi surfaces in URu $_{2}$ Si $_{2}$
journal, December 2011

Oppeneer, P. M.; Elgazzar, S.; Rusz, J.
Physical Review B, Vol. 84, Issue 24
DOI: 10.1103/PhysRevB.84.241102

Gapped excitations in the high-pressure antiferromagnetic phase of ${URu}_{2} {Si}_{2}$
journal, May 2017

Williams, T. J.; Barath, H.; Yamani, Z.
Physical Review B, Vol. 95, Issue 19
DOI: 10.1103/PhysRevB.95.195171

Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations
journal, July 2012

Holt, Michael; Oitmaa, Jaan; Chen, Wei
Physical Review Letters, Vol. 109, Issue 3
DOI: 10.1103/PhysRevLett.109.037001

Comparative study of the electronic structure of XRu2Si2: probing the Anderson lattice
journal, June 2001

Denlinger, J. D.; Gweon, G. -H; Allen, J. W.
Journal of Electron Spectroscopy and Related Phenomena, Vol. 117-118
DOI: 10.1016/S0368-2048(01)00257-2

Momentum-resolved hidden-order gap reveals symmetry breaking and origin of entropy loss in URu2Si2
journal, July 2014

Bareille, C.; Boariu, F. L.; Schwab, H.
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms5326

Photoemission investigations of URu ₂ Si ₂
journal, July 2014

Durakiewicz, Tomasz
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.937783

Imaging the Three-Dimensional Fermi-Surface Pairing near the Hidden-Order Transition in ${URu}_{2} {Si}_{2}$ Using Angle-Resolved Photoemission Spectroscopy
journal, September 2013

Meng, Jian-Qiao; Oppeneer, Peter M.; Mydosh, John A.
Physical Review Letters, Vol. 111, Issue 12
DOI: 10.1103/PhysRevLett.111.127002

ARPES/STM study of the surface terminations and $5 f$ -electron character in ${URu}_{2} {Si}_{2}$
journal, September 2018

Zhang, W.; Lu, H. Y.; Xie, D. H.
Physical Review B, Vol. 98, Issue 11
DOI: 10.1103/PhysRevB.98.115121

Magnetic field-tuned localization of the $5 f$ -electrons in URu $_{2}$ Si $_{2}$
journal, December 2013

Harrison, N.; Moll, P. J. W.; Sebastian, S. E.
Physical Review B, Vol. 88, Issue 24
DOI: 10.1103/PhysRevB.88.241108

Formation of the Coherent Heavy Fermion Liquid at the Hidden Order Transition in ${URu}_{2} {Si}_{2}$
journal, May 2013

Chatterjee, Shouvik; Trinckauf, Jan; Hänke, Torben
Physical Review Letters, Vol. 110, Issue 18
DOI: 10.1103/PhysRevLett.110.186401

Momentum-Resolved Evolution of the Kondo Lattice into “Hidden Order” in ${URu}_{2} {Si}_{2}$
journal, April 2013

Boariu, F. L.; Bareille, C.; Schwab, H.
Physical Review Letters, Vol. 110, Issue 15
DOI: 10.1103/PhysRevLett.110.156404

Degree of $5 f$ electron localization in ${URu}_{2} {Si}_{2}$ : Electron energy-loss spectroscopy and spin-orbit sum rule analysis
journal, July 2010

Jeffries, J. R.; Moore, K. T.; Butch, N. P.
Physical Review B, Vol. 82, Issue 3
DOI: 10.1103/PhysRevB.82.033103

Probing $5 f$ -state configurations in ${URu}_{2} {Si}_{2}$ with U $L_{III}$ -edge resonant x-ray emission spectroscopy
journal, July 2016

Booth, C. H.; Medling, S. A.; Tobin, J. G.
Physical Review B, Vol. 94, Issue 4
DOI: 10.1103/PhysRevB.94.045121

Band structure and Fermi surface of URu $_{2}$ Si $_{2}$ studied by soft x-ray angle-resolved photoemission spectroscopy
journal, June 2011

Kawasaki, Ikuto; Fujimori, Shin-ichi; Takeda, Yukiharu
Physical Review B, Vol. 83, Issue 23
DOI: 10.1103/PhysRevB.83.235121

Electronic structure of ${ThRu}_{2} {Si}_{2}$ studied by angle-resolved photoelectron spectroscopy: Elucidating the contribution of U $5 f$ states in ${URu}_{2} {Si}_{2}$
journal, September 2017

Fujimori, Shin-ichi; Kobata, Masaaki; Takeda, Yukiharu
Physical Review B, Vol. 96, Issue 12
DOI: 10.1103/PhysRevB.96.125117

Spectroscopic Determination of the Atomic $f$ -Electron Symmetry Underlying Hidden Order in ${URu}_{2} {Si}_{2}$
journal, June 2015

Wray, L. Andrew; Denlinger, Jonathan; Huang, Shih-Wen
Physical Review Letters, Vol. 114, Issue 23
DOI: 10.1103/PhysRevLett.114.236401

Resonant x-ray spectroscopy of uranium intermetallics at the $M_{4, 5}$ edges of uranium
journal, June 2017

Kvashnina, K. O.; Walker, H. C.; Magnani, N.
Physical Review B, Vol. 95, Issue 24
DOI: 10.1103/PhysRevB.95.245103

Electronic Structures of Uranium Compounds Studied by Soft X-ray Photoelectron Spectroscopy
journal, June 2016

Fujimori, Shin-ichi; Takeda, Yukiharu; Okane, Tetsuo
Journal of the Physical Society of Japan, Vol. 85, Issue 6
DOI: 10.7566/JPSJ.85.062001

Direct bulk-sensitive probe of 5 f symmetry in URu ₂ Si ₂
journal, November 2016

Sundermann, Martin; Haverkort, Maurits W.; Agrestini, Stefano
Proceedings of the National Academy of Sciences, Vol. 113, Issue 49
DOI: 10.1073/pnas.1612791113

Magnetic excitations and phonon anomalies in U ${Ru}_{2}$ ${Si}_{2}$
journal, October 1987

Cooper, S. L.; Klein, M. V.; Maple, M. B.
Physical Review B, Vol. 36, Issue 10
DOI: 10.1103/PhysRevB.36.5743

Chirality density wave of the "hidden order" phase in URu2Si2
journal, February 2015

Kung, H. - H.; Baumbach, R. E.; Bauer, E. D.
Science, Vol. 347, Issue 6228
DOI: 10.1126/science.1259729

Analogy Between the “Hidden Order” and the Orbital Antiferromagnetism in ${URu}_{2 - x} {Fe}_{x} {Si}_{2}$
journal, November 2016

Kung, H. -H.; Ran, S.; Kanchanavatee, N.
Physical Review Letters, Vol. 117, Issue 22
DOI: 10.1103/PhysRevLett.117.227601

Symmetry of the Excitations in the Hidden Order State of ${URu}_{2} {Si}_{2}$
journal, December 2014

Buhot, J.; Méasson, M. -A.; Gallais, Y.
Physical Review Letters, Vol. 113, Issue 26
DOI: 10.1103/PhysRevLett.113.266405

Precise Study of the Resonance at Q ₀ =(1,0,0) in URu ₂ Si ₂
journal, June 2010

Bourdarot, Frederic; Hassinger, Elena; Raymond, Stephane
Journal of the Physical Society of Japan, Vol. 79, Issue 6
DOI: 10.1143/JPSJ.79.064719

Hidden order signatures in the antiferromagnetic phase of $U {({Ru}_{1 - x} {Fe}_{x})}_{2} {Si}_{2}$
journal, March 2017

Williams, T. J.; Aczel, A. A.; Stone, M. B.
Physical Review B, Vol. 95, Issue 10
DOI: 10.1103/PhysRevB.95.104440

Neutron scattering from quantum condensed matter
journal, July 2014

Bramwell, Steven T.; Keimer, Bernhard
Nature Materials, Vol. 13, Issue 8
DOI: 10.1038/nmat4045

Visualizing the formation of the Kondo lattice and the hidden order in URu2Si2
journal, May 2010

Aynajian, P.; da Silva Neto, E. H.; Parker, C. V.
Proceedings of the National Academy of Sciences, Vol. 107, Issue 23
DOI: 10.1073/pnas.1005892107

Raman Scattering Study of Anomalous Spin, Charge, and Lattice Dynamics in the Charge-Ordered Phase of ${Bi}_{1 - x} {Ca}_{x} {MnO}_{3}$ ( $x > 0.5$ )
journal, October 2000

Yoon, S.; Rübhausen, M.; Cooper, S. L.
Physical Review Letters, Vol. 85, Issue 15
DOI: 10.1103/PhysRevLett.85.3297

Novel Raman-active electronic excitations near the charge-transfer gap in insulating cuprates
journal, November 1993

Liu, Ran; Salamon, D.; Klein, M. V.
Physical Review Letters, Vol. 71, Issue 22
DOI: 10.1103/PhysRevLett.71.3709

Lattice dynamics of the heavy-fermion compound ${URu}_{2} {Si}_{2}$
journal, January 2015

Buhot, J.; Méasson, M. A.; Gallais, Y.
Physical Review B, Vol. 91, Issue 3
DOI: 10.1103/PhysRevB.91.035129

Inelastic x-ray scattering measurements of phonon dynamics in ${URu}_{2} {Si}_{2}$
journal, February 2016

Gardner, D. R.; Bonnoit, C. J.; Chisnell, R.
Physical Review B, Vol. 93, Issue 7
DOI: 10.1103/PhysRevB.93.075123

Phase diagram and correlation functions of the two-dimensional dissipative quantum XY model
journal, November 2016

Hou, Changtao; Varma, Chandra M.
Physical Review B, Vol. 94, Issue 20
DOI: 10.1103/PhysRevB.94.201101

Raman active high energy excitations in URu2Si2
journal, February 2017

Buhot, Jonathan; Gallais, Yann; Cazayous, Maximilien
Physica B: Condensed Matter, Vol. 506
DOI: 10.1016/j.physb.2016.10.034

Sequential Spin Polarization of the Fermi Surface Pockets in ${URu}_{2} {Si}_{2}$ and Its Implications for the Hidden Order
journal, April 2011

Altarawneh, M. M.; Harrison, N.; Sebastian, S. E.
Physical Review Letters, Vol. 106, Issue 14
DOI: 10.1103/PhysRevLett.106.146403

High-Field Fermi Surface Properties in the Low-Carrier Heavy-Fermion Compound URu ₂ Si ₂
journal, July 2012

Aoki, Dai; Knebel, Georg; Sheikin, Ilya
Journal of the Physical Society of Japan, Vol. 81, Issue 7
DOI: 10.1143/JPSJ.81.074715

Superconducting Pairs with Extreme Uniaxial Anisotropy in ${URu}_{2} {Si}_{2}$
journal, February 2012

Altarawneh, M. M.; Harrison, N.; Li, G.
Physical Review Letters, Vol. 108, Issue 6
DOI: 10.1103/PhysRevLett.108.066407

Fermi-surface selective determination of the $g$ -factor anisotropy in ${URu}_{2} {Si}_{2}$
journal, April 2019

Bastien, Gaël; Aoki, Dai; Lapertot, Gérard
Physical Review B, Vol. 99, Issue 16
DOI: 10.1103/PhysRevB.99.165138

Exceptional Ising magnetic behavior of itinerant spin-polarized carriers in ${URu}_{2} {Si}_{2}$
journal, August 2014

Werwiński, Mirosław; Rusz, Jan; Mydosh, John A.
Physical Review B, Vol. 90, Issue 6
DOI: 10.1103/PhysRevB.90.064430

Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnetic conductors
journal, May 2009

Ramazashvili, Revaz
Physical Review B, Vol. 79, Issue 18
DOI: 10.1103/PhysRevB.79.184432

Thermodynamic Measurement of Angular Anisotropy at the Hidden Order Transition of ${URu}_{2} {Si}_{2}$
journal, October 2016

Trinh, Jennifer; Brück, Ekkes; Siegrist, Theo
Physical Review Letters, Vol. 117, Issue 15
DOI: 10.1103/PhysRevLett.117.157201

Mixed valence as an almost broken symmetry
journal, April 1987

Coleman, Piers
Physical Review B, Vol. 35, Issue 10
DOI: 10.1103/PhysRevB.35.5072

Crystalline electric field effects in ${UPt}_{2}$ ${Si}_{2}$ and ${URu}_{2}$ ${Si}_{2}$
journal, April 1987

Nieuwenhuys, G. J.
Physical Review B, Vol. 35, Issue 10
DOI: 10.1103/PhysRevB.35.5260

Measurements of the NMR Knight shift tensor and nonlinear magnetization in ${URu}_{2} {Si}_{2}$
journal, February 2018

Lawson, M.; Bush, B. T.; Kissikov, T.
Physical Review B, Vol. 97, Issue 7
DOI: 10.1103/PhysRevB.97.075138

Crystal Field Model of the Magnetic Properties of U ${Ru}_{2}$ ${Si}_{2}$
journal, August 1994

Santini, P.; Amoretti, G.
Physical Review Letters, Vol. 73, Issue 7
DOI: 10.1103/PhysRevLett.73.1027

Multipolar interactions in $f$ -electron systems: The paradigm of actinide dioxides
journal, June 2009

Santini, Paolo; Carretta, Stefano; Amoretti, Giuseppe
Reviews of Modern Physics, Vol. 81, Issue 2
DOI: 10.1103/RevModPhys.81.807

Description of Multipole in f -Electron Systems
journal, June 2008

Kusunose, Hiroaki
Journal of the Physical Society of Japan, Vol. 77, Issue 6
DOI: 10.1143/JPSJ.77.064710

First-principles Theory of Magnetic Multipoles in Condensed Matter Systems
journal, April 2018

Suzuki, Michi-To; Ikeda, Hiroaki; Oppeneer, Peter M.
Journal of the Physical Society of Japan, Vol. 87, Issue 4
DOI: 10.7566/JPSJ.87.041008

Itinerant Magnetic Multipole Moments of Rank Five as the Hidden Order in ${URu}_{2} {Si}_{2}$
journal, September 2009

Cricchio, Francesco; Bultmark, Fredrik; Grånäs, Oscar
Physical Review Letters, Vol. 103, Issue 10
DOI: 10.1103/PhysRevLett.103.107202

Itinerant multipolar order in URu ₂ Si ₂ and its signature in magnetic and lattice properties
journal, November 2013

Thalmeier, Peter; Takimoto, Tetsuya; Ikeda, Hiroaki
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2013.861615

Multipole order and global/site symmetry in the hidden-order phase of ${URu}_{2} {Si}_{2}$
journal, November 2014

Suzuki, Michi-To; Ikeda, Hiroaki
Physical Review B, Vol. 90, Issue 18
DOI: 10.1103/PhysRevB.90.184407

Hidden-order symmetry and superconductivity in ${URu}_{2} {Si}_{2}$ investigated by quasiparticle interference
journal, December 2014

Akbari, Alireza; Thalmeier, Peter
Physical Review B, Vol. 90, Issue 22
DOI: 10.1103/PhysRevB.90.224511

Collective spin resonance excitation in the gapped itinerant multipole hidden order phase of ${URu}_{2} {Si}_{2}$
journal, September 2015

Akbari, Alireza; Thalmeier, Peter
Physical Review B, Vol. 92, Issue 9
DOI: 10.1103/PhysRevB.92.094512

Hidden Order in ${URu}_{2} {Si}_{2}$ Unveiled
journal, August 2012

Ressouche, E.; Ballou, R.; Bourdarot, F.
Physical Review Letters, Vol. 109, Issue 6
DOI: 10.1103/PhysRevLett.109.067202

Symmetry-protected hidden order and magnetic neutron Bragg diffraction by URu ₂ Si ₂
journal, January 2014

Khalyavin, D. D.; Lovesey, S. W.; Dobrynin, A. N.
Journal of Physics: Condensed Matter, Vol. 26, Issue 4
DOI: 10.1088/0953-8984/26/4/046003

Detection of Magnetic Moment Distribution in URu ₂ Si ₂
journal, April 2017

Hanzawa, Katsurou
Journal of the Physical Society of Japan, Vol. 86, Issue 4
DOI: 10.7566/JPSJ.86.044702

Hidden order in ${URu}_{2} {Si}_{2}$ : Symmetry-induced antitoroidal vortices
journal, October 2018

Dmitrienko, Vladimir E.; Chizhikov, Viacheslav A.
Physical Review B, Vol. 98, Issue 16
DOI: 10.1103/PhysRevB.98.165118

On the possibility to detect multipolar order in ${URu}_{2} {Si}_{2}$ by the electric quadrupolar transition of resonant elastic x-ray scattering
journal, August 2017

Wang, Y. L.; Fabbris, G.; Meyers, D.
Physical Review B, Vol. 96, Issue 8
DOI: 10.1103/PhysRevB.96.085146

5 $f$ delocalization-induced suppression of quadrupolar order in U(Pd $_{1 - x}$ Pt $_{x}$ ) $_{3}$
journal, December 2011

Walker, H. C.; Le, M. D.; McEwen, K. A.
Physical Review B, Vol. 84, Issue 23
DOI: 10.1103/PhysRevB.84.235142

Evidence for Chiral d -Wave Superconductivity in URu ₂ Si ₂ from the Field-Angle Variation of Its Specific Heat
journal, March 2016

Kittaka, Shunichiro; Shimizu, Yusei; Sakakibara, Toshiro
Journal of the Physical Society of Japan, Vol. 85, Issue 3
DOI: 10.7566/JPSJ.85.033704

Nodal gap structure of the heavy-fermion superconductor URu ₂ Si ₂ revealed by field-angle-dependent specific-heat measurements
journal, April 2017

Kittaka, Shunichiro; Shimizu, Yusei; Sakakibara, Toshiro
Journal of Physics: Conference Series, Vol. 807
DOI: 10.1088/1742-6596/807/5/052001

Evidence for Spin Singlet Pairing with Strong Uniaxial Anisotropy in ${URu}_{2} {Si}_{2}$ Using Nuclear Magnetic Resonance
journal, January 2018

Hattori, T.; Sakai, H.; Tokunaga, Y.
Physical Review Letters, Vol. 120, Issue 2
DOI: 10.1103/PhysRevLett.120.027001

Magnetic-field-induced chiral hidden order in URu ₂ Si ₂
journal, May 2014

Kotetes, P.; Aperis, A.; Varelogiannis, G.
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.909614

Colossal thermomagnetic response in the exotic superconductor URu2Si2
journal, December 2014

Yamashita, T.; Shimoyama, Y.; Haga, Y.
Nature Physics, Vol. 11, Issue 1
DOI: 10.1038/nphys3170

Spin-orbit density wave: a new phase of matter applicable to the hidden order state of URu ₂ Si ₂
journal, May 2014

Das, Tanmoy
Philosophical Magazine, Vol. 94, Issue 32-33
DOI: 10.1080/14786435.2014.916425

Imprints of spin-orbit density wave in the hidden-order state of URu $_{2}$ Si $_{2}$
journal, January 2014

Das, Tanmoy
Physical Review B, Vol. 89, Issue 4
DOI: 10.1103/PhysRevB.89.045135

Magnetoelastic coupling in ${URu}_{2} {Si}_{2}$ : Probing multipolar correlations in the hidden order state
journal, June 2019

Wartenbe, Mark; Baumbach, Ryan E.; Shekhter, Arkady
Physical Review B, Vol. 99, Issue 23
DOI: 10.1103/PhysRevB.99.235101

Universal $2 Δ_{max} / k_{B} T_{c}$ scaling decoupled from the electronic coherence in iron-based superconductors
journal, July 2018

Miao, H.; Brito, W. H.; Yin, Z. P.
Physical Review B, Vol. 98, Issue 2
DOI: 10.1103/PhysRevB.98.020502

Gaussian fluctuation corrections to a mean-field theory of complex hidden order in ${URu}_{2} {Si}_{2}$
journal, September 2018

Shen, Pengtao; Dzero, Maxim
Physical Review B, Vol. 98, Issue 12
DOI: 10.1103/PhysRevB.98.125131

Complex Landau-Ginzburg theory of the hidden order in URu ₂ Si ₂
journal, March 2010

Haule, K.; Kotliar, G.
EPL (Europhysics Letters), Vol. 89, Issue 5
DOI: 10.1209/0295-5075/89/57006

First-Order Phase Transitions in Superconductors and Smectic- $A$ Liquid Crystals
journal, February 1974

Halperin, B. I.; Lubensky, T. C.; Ma, Shang-keng
Physical Review Letters, Vol. 32, Issue 6
DOI: 10.1103/PhysRevLett.32.292

Gaussian fluctuation corrections to the BCS mean-field gap amplitude at zero temperature
journal, December 2004

Kos, Š.; Millis, A. J.; Larkin, A. I.
Physical Review B, Vol. 70, Issue 21
DOI: 10.1103/PhysRevB.70.214531

Effective critical and tricritical exponents
journal, January 1974

Riedel, Eberhard K.; Wegner, Franz J.
Physical Review B, Vol. 9, Issue 1
DOI: 10.1103/PhysRevB.9.294

Superconducting gap structure of heavy-Fermion compound URu ₂ Si ₂ determined by angle-resolved thermal conductivity
journal, May 2009

Kasahara, Y.; Shishido, H.; Shibauchi, T.
New Journal of Physics, Vol. 11, Issue 5
DOI: 10.1088/1367-2630/11/5/055061

Angle-resolved heat capacity of heavy fermion superconductors
journal, August 2016

Sakakibara, Toshiro; Kittaka, Shunichiro; Machida, Kazushige
Reports on Progress in Physics, Vol. 79, Issue 9
DOI: 10.1088/0034-4885/79/9/094002

Exotic Superconducting Properties in the Electron-Hole-Compensated Heavy-Fermion “Semimetal” ${URu}_{2} {Si}_{2}$
journal, September 2007

Kasahara, Y.; Iwasawa, T.; Shishido, H.
Physical Review Letters, Vol. 99, Issue 11
DOI: 10.1103/PhysRevLett.99.116402

Specific heat of URu2Si2: Effect of pressure and magnetic field on the magnetic and superconducting transitions
journal, April 1990

Fisher, R. A.; Kim, S.; Wu, Y.
Physica B: Condensed Matter, Vol. 163, Issue 1-3
DOI: 10.1016/0921-4526(90)90229-N

Field-Angle-Dependent Specific Heat Measurements and Gap Determination of a Heavy Fermion Superconductor ${URu}_{2} {Si}_{2}$
journal, January 2008

Yano, K.; Sakakibara, T.; Tayama, T.
Physical Review Letters, Vol. 100, Issue 1
DOI: 10.1103/PhysRevLett.100.017004

Bulk evidence for a time-reversal symmetry broken superconducting state in URu $_{2}$ Si $_{2}$
journal, October 2013

Li, G.; Zhang, Q.; Rhodes, D.
Physical Review B, Vol. 88, Issue 13
DOI: 10.1103/PhysRevB.88.134517

Chirality Induced Tilted-Hill Giant Nernst Signal
journal, March 2010

Kotetes, P.; Varelogiannis, G.
Physical Review Letters, Vol. 104, Issue 10
DOI: 10.1103/PhysRevLett.104.106404

Giant Nernst and Hall effects due to chiral superconducting fluctuations
journal, November 2014

Sumiyoshi, Hiroaki; Fujimoto, Satoshi
Physical Review B, Vol. 90, Issue 18
DOI: 10.1103/PhysRevB.90.184518

Magnetic and Electronic Properties of URu ₂ Si ₂ Revealed by Comparison with Nonmagnetic References ThRu ₂ Si ₂ and LaRu ₂ Si ₂
journal, June 2015

Emi, Naoya; Hamabata, Ryosuke; Nakayama, Daisuke
Journal of the Physical Society of Japan, Vol. 84, Issue 6
DOI: 10.7566/JPSJ.84.063702

No Detectable Change in In-Plane ²⁹ Si Knight Shift in the Superconducting State of URu ₂ Si ₂
journal, July 2016

Hattori, Taisuke; Sakai, Hironori; Tokunaga, Yo
Journal of the Physical Society of Japan, Vol. 85, Issue 7
DOI: 10.7566/JPSJ.85.073711

Magnetic Exciton Mediated Superconductivity in the Hidden-Order Phase of URu ₂ Si ₂
journal, February 2012

Kusunose, Hiroaki
Journal of the Physical Society of Japan, Vol. 81, Issue 2
DOI: 10.1143/JPSJ.81.023704

Antiferromagnetic critical pressure in ${URu}_{2} {Si}_{2}$ under hydrostatic conditions
journal, August 2010

Butch, Nicholas P.; Jeffries, Jason R.; Chi, Songxue
Physical Review B, Vol. 82, Issue 6
DOI: 10.1103/PhysRevB.82.060408

High magnetic field behavior of strongly correlated uranium-based compounds
journal, October 2017

Mydosh, J. A.
Advances in Physics, Vol. 66, Issue 4
DOI: 10.1080/00018732.2017.1466475

Field-Induced Destruction of Heavy Fermion State in URu ₂ Si ₂
journal, September 1990

Sugiyama, Kiyohiro; Fuke, Hiroyuki; Kindo, Koichi
Journal of the Physical Society of Japan, Vol. 59, Issue 9
DOI: 10.1143/JPSJ.59.3331

Metamagnetic Transition in a Heavy Fermion Superconductor URu ₂ Si ₂
journal, October 1999

Sugiyama, Kiyohiro; Nakashima, Miho; Ohkuni, Hitoshi
Journal of the Physical Society of Japan, Vol. 68, Issue 10
DOI: 10.1143/JPSJ.68.3394

Magnetic Structure of Phase II in $U ({Ru}_{0.96} {Rh}_{0.04})_{2} {Si}_{2}$ Determined by Neutron Diffraction under Pulsed High Magnetic Fields
journal, May 2013

Kuwahara, K.; Yoshii, S.; Nojiri, H.
Physical Review Letters, Vol. 110, Issue 21
DOI: 10.1103/PhysRevLett.110.216406

Magnetic structure in a $U {({Ru}_{0.92} {Rh}_{0.08})}_{2} {Si}_{2}$ single crystal studied by neutron diffraction in static magnetic fields up to 24 T
journal, September 2017

Prokeš, K.; Bartkowiak, M.; Rivin, O.
Physical Review B, Vol. 96, Issue 12
DOI: 10.1103/PhysRevB.96.121117

Field-induced spin-density wave beyond hidden order in URu2Si2
journal, October 2016

Knafo, W.; Duc, F.; Bourdarot, F.
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms13075

Th-doped URu2Si2: influence of “Kondo holes” on coexisting superconductivity and magnetism
journal, July 1992

de la Torre, A. Lopez; Visani, P.; Dalichaouch, Y.
Physica B: Condensed Matter, Vol. 179, Issue 3
DOI: 10.1016/0921-4526(92)90018-N

Holes in a Kondo lattice
journal, October 2011

Thompson, J. D.
Proceedings of the National Academy of Sciences, Vol. 108, Issue 45
DOI: 10.1073/pnas.1115741108

Single Uranium-Site Properties of the Dilute Heavy Electron System U _x Th _{1- x} Ru ₂ Si ₂ ( x ≤0.07)
journal, February 1994

Amitsuka, Hiroshi; Sakakibara, Toshiro
Journal of the Physical Society of Japan, Vol. 63, Issue 2
DOI: 10.1143/JPSJ.63.736

Non-Fermi-liquid behavior in R1−xUxRu2Si2 (R=Th, Y and La; x⩽0.07)
journal, June 2000

Amitsuka, H.; Kuwahara, K.; Yokoyama, M.
Physica B: Condensed Matter, Vol. 281-282
DOI: 10.1016/S0921-4526(99)01054-6

Quadrupolar Kondo effect in uranium heavy-electron materials?
journal, September 1987

Cox, D. L.
Physical Review Letters, Vol. 59, Issue 11
DOI: 10.1103/PhysRevLett.59.1240

Exotic Kondo effects in metals: Magnetic ions in a crystalline electric field and tunnelling centres
journal, September 1998

Cox, D. L.; Zawadowski, A.
Advances in Physics, Vol. 47, Issue 5
DOI: 10.1080/000187398243500

Magnetization, Maxwell’s relations, and the local physics of ${Th}_{1 - x} U_{x} {Ru}_{2} {Si}_{2}$
journal, December 2010

Tóth, Anna; Chandra, Premala; Coleman, Piers
Physical Review B, Vol. 82, Issue 23
DOI: 10.1103/PhysRevB.82.235116

Phase diagram of URu _{2– x} Fe _x Si ₂ in high magnetic fields
journal, August 2017

Ran, Sheng; Jeon, Inho; Pouse, Naveen
Proceedings of the National Academy of Sciences, Vol. 114, Issue 37
DOI: 10.1073/pnas.1710192114

Ferromagnetic instability in the heavy-electron compound ${URu}_{2}$ ${Si}_{2}$ doped with Re or Tc
journal, February 1989

Dalichaouch, Y.; Maple, M. B.; Torikachvili, M. S.
Physical Review B, Vol. 39, Issue 4
DOI: 10.1103/PhysRevB.39.2423

Non-Fermi-Liquid Behavior within the Ferromagnetic Phase in ${U R u}_{2 - x} {R e}_{x} {S i}_{2}$
journal, February 2005

Bauer, E. D.; Zapf, V. S.; Ho, P. -C.
Physical Review Letters, Vol. 94, Issue 4
DOI: 10.1103/PhysRevLett.94.046401

Neutron scattering study of URu $_{2 - x}$ Re $_{x}$ Si $_{2}$ ( $x = 0.10$ ): Driving order towards quantum criticality
journal, December 2012

Williams, T. J.; Yamani, Z.; Butch, N. P.
Physical Review B, Vol. 86, Issue 23
DOI: 10.1103/PhysRevB.86.235104

Chemical pressure tuning of ${URu}_{2} {Si}_{2}$ via isoelectronic substitution of Ru with Fe
journal, February 2015

Das, Pinaki; Kanchanavatee, N.; Helton, J. S.
Physical Review B, Vol. 91, Issue 8
DOI: 10.1103/PhysRevB.91.085122

Evolution of critical pressure with increasing Fe substitution in the heavy-fermion system ${URu}_{2 - x} {Fe}_{x} {Si}_{2}$
journal, August 2016

Wolowiec, C. T.; Kanchanavatee, N.; Huang, K.
Physical Review B, Vol. 94, Issue 8
DOI: 10.1103/PhysRevB.94.085145

Antiferromagnetism and hidden order in isoelectronic doping of ${URu}_{2} {Si}_{2}$
journal, February 2016

Wilson, M. N.; Williams, T. J.; Cai, Y. -P.
Physical Review B, Vol. 93, Issue 6
DOI: 10.1103/PhysRevB.93.064402

Specific heat and susceptibility of U(Ru1−xRhx)2Si2
journal, December 1988

Amitsuka, H.; Hyomi, K.; Nishioka, T.
Journal of Magnetism and Magnetic Materials, Vol. 76-77
DOI: 10.1016/0304-8853(88)90354-X

Neutron Scattering Study on Competition between Hidden Order and Antiferromagnetism in U(Ru _{1- x} Rh _x ) ₂ Si ₂ ( x ≤0.05)
journal, March 2004

Yokoyama, Makoto; Amitsuka, Hiroshi; Itoh, Seiichiroh
Journal of the Physical Society of Japan, Vol. 73, Issue 3
DOI: 10.1143/JPSJ.73.545

Electronic properties of a heavy-fermion $U ({Ru}_{0.92} {Rh}_{0.08})_{2} {Si}_{2}$ single crystal
journal, January 2017

Prokeš, K.; Huang, Y. -K.; Reehuis, M.
Physical Review B, Vol. 95, Issue 3
DOI: 10.1103/PhysRevB.95.035138

Magnetic phase diagram of the U(Rh1−xRux)Si2 system
journal, February 1992

Burlet, P.; Bourdarot, F.; Quezel, S.
Journal of Magnetism and Magnetic Materials, Vol. 108, Issue 1-3
DOI: 10.1016/0304-8853(92)91411-L

Unfolding the physics of URu2Si2 through silicon to phosphorus substitution
journal, February 2016

Gallagher, A.; Chen, K. -W.; Moir, C. M.
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms10712

Studies of alloying effects on URu ₂ (Si,X) ₂ ; X=Al or Ge
journal, February 1994

Park, J. -G; Coles, B. R.
Journal of Physics: Condensed Matter, Vol. 6, Issue 7
DOI: 10.1088/0953-8984/6/7/014

NMR investigation of antiferromagnetism and coherence in ${URu}_{2} {Si}_{2 - x} P_{x}$
journal, January 2017

Shirer, K. R.; Lawson, M.; Kissikov, T.
Physical Review B, Vol. 95, Issue 4
DOI: 10.1103/PhysRevB.95.041107

Role of band filling in tuning the high-field phases of ${URu}_{2} {Si}_{2}$
journal, August 2017

Wartenbe, M. R.; Chen, K. -W.; Gallagher, A.
Physical Review B, Vol. 96, Issue 8
DOI: 10.1103/PhysRevB.96.085141

Kramers Degeneracy in a Magnetic Field and Zeeman Spin-Orbit Coupling in Antiferromagnetic Conductors
journal, September 2008

Ramazashvili, Revaz
Physical Review Letters, Vol. 101, Issue 13
DOI: 10.1103/PhysRevLett.101.137202

Kramers degeneracy in a magnetic field and zeeman spin-orbit coupling in antiferromagnetic conductors
journal, March 2009

Ramazashvili, Revaz
Physica B: Condensed Matter, Vol. 404, Issue 3-4
DOI: 10.1016/j.physb.2008.11.027

Gapped itinerant spin excitations account for missing entropy in the hidden order state of URu$_2$Si$_2$
text, January 2007

Wiebe, C. R.; Janik, J. A.; Macdougall, G. J.
arXiv
DOI: 10.48550/arxiv.0710.0896

Description of Multipole in f-Electron Systems
text, January 2008

Kusunose, Hiroaki
arXiv
DOI: 10.48550/arxiv.0803.4358

Superconducting phases of f-electron compounds
text, January 2009

Pfleiderer, C.
arXiv
DOI: 10.48550/arxiv.0905.2625

Chirality Induced Tilted-Hill Giant Nernst Signal
text, January 2009

Kotetes, Panagiotis; Varelogiannis, Georgios
arXiv
DOI: 10.48550/arxiv.0911.2512

Visualizing the Formation of the Kondo Lattice and the Hidden Order in URu2Si2
text, January 2010

Aynajian, Pegor; Neto, Eduardo H. da Silva; Parker, Colin V.
arXiv
DOI: 10.48550/arxiv.1003.5259

Precise study of the resonance at Q0=(1,0,0) in URu2Si2
text, January 2010

Bourdarot, Frederic; Hassinger, Elena; Raymond, Stephane
arXiv
DOI: 10.48550/arxiv.1004.1899

The modulated spin liquid: a new paradigm for URu$_2$Si$_2$
text, January 2010

Pepin, C.; Norman, M. R.; Burdin, S.
arXiv
DOI: 10.48550/arxiv.1010.1237

Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
text, January 2011

Okazaki, R.; Shibauchi, T.; Shi, H. J.
arXiv
DOI: 10.48550/arxiv.1107.5480

Details of Sample Dependence and Transport Properties of URu2Si2
text, January 2011

Matsuda, Tatsuma D.; Hassinger, Elena; Aoki, Dai
arXiv
DOI: 10.48550/arxiv.1109.1953

Role of commensurate and incommensurate low-energy excitations in the paramagnetic to hidden-order transition of URu$_2$Si$_2$
text, January 2011

Niklowitz, P. G.; Dunsiger, S. R.; Pfleiderer, C.
arXiv
DOI: 10.48550/arxiv.1110.5599

Magnetically driven superconductivity in CeCu2Si2
text, January 2012

Stockert, O.; Arndt, J.; Faulhaber, E.
arXiv
DOI: 10.48550/arxiv.1202.4112

Optical study of hybridization and hidden order in URu$_2$Si$_2$
text, January 2014

Hall, J. S.; Timusk, T.
arXiv
DOI: 10.48550/arxiv.1404.7093

Exceptional Ising Magnetic Behavior of Itinerant Spin-polarized Carriers in URu2Si2
text, January 2014

Werwinski, Miroslaw; Rusz, Jan; Mydosh, John A.
arXiv
DOI: 10.48550/arxiv.1405.1631

A Model for Metastable Magnetism in the Hidden-Order Phase of URu2Si2
text, January 2017

Boyer, Lance; Yakovenko, Victor M.
arXiv
DOI: 10.48550/arxiv.1704.06231

On the possibility to detect multipolar order in URu$_2$Si$_2$ by the electric quadrupolar transition of resonant elastic X-ray scattering
text, January 2017

Wang, Y. L.; Fabbris, G.; Meyers, D.
arXiv
DOI: 10.48550/arxiv.1708.05307

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Title: Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu2Si2

Abstract

Citation Formats

Superconducting phases of f -electron compounds journal, November 2009

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Intertwined Orders in Heavy-Fermion Superconductor CeCoIn 5 journal, December 2016

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Low moments in heavy-fermion systems journal, June 1996

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Crystal growth of some rare earth and uranium intermetallics from the melt journal, December 1983

Magnetic properties and structural chemistry of ternary silicides (RE, Th, U)Ru2Si2 (RE = RARE EARTH) journal, July 1983

Magnetic excitations and ordering in the heavy-electron superconductor URu 2 Si 2 journal, April 1987

Neutron-scattering measurements of long-range antiferromagnetic order in URu 2 Si 2 journal, December 1990

X-ray magnetic scattering in antiferromagnetic URu 2 Si 2 journal, December 1990

Competition between hidden order and antiferromagnetism in URu 2 Si 2 under uniaxial stress studied by neutron scattering journal, December 2005

Thermal expansion and specific heat of monocrystalline U Ru 2 Si 2 journal, December 1986

Colloquium : Hidden order, superconductivity, and magnetism: The unsolved case of URu 2 Si 2 journal, November 2011

Hidden order behaviour in URu 2 Si 2 (A critical review of the status of hidden order in 2014) journal, May 2014

Neutron scattering studies on URu 2 Si 2 journal, July 2014

Structural characterization of new ternary compounds of uranium and cerium journal, August 1985

Magnetochemistry and crystal chemistry of ternary actinoidmetal-silicides {Th, U}{Cu, Ru, Os, Ir, Pt}2Si2 journal, January 1987

Intermetallic compounds of rare-earth and 3d transition metals journal, October 1977

Seeded growth in a soft lined crucible: Application to phosphorus doped optical germanium single crystals journal, December 1986

Super Clean Sample of URu 2 Si 2 journal, January 2008

Spatially Inhomogeneous Development of Antiferromagnetism in URu 2 Si 2 : Evidence from S 29 i NMR under Pressure journal, August 2001

Antiferromagnetic patches and hidden order in URu 2 Si 2 by impurity doping journal, April 2010

Parasitic Small-Moment Antiferromagnetism and Nonlinear Coupling of Hidden Order and Antiferromagnetism in URu 2 Si 2 Observed by Larmor Diffraction journal, March 2010

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Details of Sample Dependence and Transport Properties of URu 2 Si 2 journal, November 2011

High purity specimens of URu 2 Si 2 produced by a molten metal flux technique journal, April 2014

Single Crystal Growth of URu2Si2 by the Modified Bridgman Technique journal, October 2016

Investigation of the crystal structure of URu2Si2 by high-resolution X-ray diffraction journal, January 1999

Symmetry and correlations underlying hidden order in URu 2 Si 2 journal, January 2015

Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2 journal, January 2011

Thermodynamic evidence for broken fourfold rotational symmetry in the hidden-order phase of URu2Si2 journal, November 2012

Cyclotron Resonance in the Hidden-Order Phase of URu 2 Si 2 journal, July 2012

Possible Phase Transition Deep Inside the Hidden Order Phase of Ultraclean URu 2 Si 2 journal, April 2009

Fermi surface properties and de Haas–van Alphen oscillation in both the normal and superconducting mixed states of URu 2 Si 2 journal, July 1999

Similarity of the Fermi Surface in the Hidden Order State and in the Antiferromagnetic State of URu 2 Si 2 journal, November 2010

Direct observation of lattice symmetry breaking at the hidden-order transition in URu2Si2 journal, June 2014

X-ray backscattering study of crystal lattice distortion in hidden order of URu 2 Si 2 journal, September 2014

Evidence for a nematic component to the hidden-order parameter in URu2Si2 from differential elastoresistance measurements journal, March 2015

NMR Study of In-Plane Twofold Ordering in URu 2 Si 2 journal, June 2013

Dilute RKKY model for NMR line broadening in the hidden-order state of URu 2 Si 2 journal, January 2016

Nuclear-resonance line shapes due to magnetic impurities in metals journal, June 1974

101 Ru NQR and Hidden Order in URu 2 Si 2 journal, August 2005

Symmetry of the Hidden Order in URu 2 Si 2 from Nuclear Magnetic Resonance Studies journal, November 2012

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Pressure-induced rotational symmetry breaking in URu 2 Si 2 journal, December 2018

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Neutron Scattering Experiments for the Study of In-Plane Ordered Moment in URu 2 Si 2 journal, May 2013

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Nature of the order parameter in the heavy-fermion system URu 2 Si 2 journal, October 1993

Anomalous phase transition in URu 2 Si 2 journal, July 1994

Weak-magnetism phenomena in heavy-fermion superconductors: selected SR studies journal, September 2004

Effect of Pressure on Tiny Antiferromagnetic Moment in the Heavy-Electron Compound URu 2 Si 2 journal, December 1999

Hidden order and weak antiferromagnetism in URu2Si2 journal, March 2002

Inhomogeneous magnetism in URu2Si2 studied by muon spin relaxation under high pressure journal, February 2003

Evidence for broken time-reversal symmetry in the superconducting phase of URu 2 Si 2 journal, April 2015

A model for metastable magnetism in the hidden-order phase of URu 2 Si 2 journal, January 2018

Signature of hidden order and evidence for periodicity modification in URu 2 Si 2 journal, November 2010

Translational Symmetry Breaking and Gapping of Heavy-Quasiparticle Pocket in URu2Si2 journal, October 2013

Signature of hidden order in heavy fermion superconductor URu 2 Si 2 : Resonance at the wave vector Q 0 = ( 1,0,0 ) journal, July 2008

Hidden order in URu2Si2 originates from Fermi surface gapping induced by dynamic symmetry breaking journal, February 2009

Electronic structure theory of the hidden-order material URu 2 Si 2 journal, November 2010

The Kondo Problem to Heavy Fermions book, January 1993

Universality of the Mott–Ioffe–Regel limit in metals journal, September 2004

Hall-effect and resistivity study of the heavy-fermion system URu 2 Si 2 journal, April 1987

Temperature dependence of the resistivity due to localized spin fluctuations. II. Coles alloys journal, September 1972

Title: Hidden order and beyond: an experimental—theoretical overview of the multifaceted behavior of URu₂Si₂

Superconducting phases of $f$ -electron compounds
journal, November 2009

Magnetically driven superconductivity in CeCu2Si2
journal, December 2010

First-Order Superconducting Phase Transition in $C e C o I n_{5}$
journal, September 2002

Intertwined Orders in Heavy-Fermion Superconductor ${CeCoIn}_{5}$
journal, December 2016

The superconducting phases of ${UPt}_{3}$
journal, March 2002

Partially gapped Fermi surface in the heavy-electron superconductor ${URu}_{2}$ ${Si}_{2}$
journal, January 1986

Superconductivity and magnetic order in a strongly interacting fermi-system: URu2Si2
journal, June 1986

Low moments in heavy-fermion systems
journal, June 1996

Hidden order in ${URu}_{2} {Si}_{2}$
journal, January 2000

Crystal growth of some rare earth and uranium intermetallics from the melt
journal, December 1983

Magnetic properties and structural chemistry of ternary silicides (RE, Th, U)Ru2Si2 (RE = RARE EARTH)
journal, July 1983

Magnetic excitations and ordering in the heavy-electron superconductor ${URu}_{2}$ ${Si}_{2}$
journal, April 1987

Neutron-scattering measurements of long-range antiferromagnetic order in ${URu}_{2}$ ${Si}_{2}$
journal, December 1990

X-ray magnetic scattering in antiferromagnetic ${URu}_{2}$ ${Si}_{2}$
journal, December 1990

Competition between hidden order and antiferromagnetism in ${URu}_{2} {Si}_{2}$ under uniaxial stress studied by neutron scattering
journal, December 2005

Thermal expansion and specific heat of monocrystalline U ${Ru}_{2}$ ${Si}_{2}$
journal, December 1986

Colloquium : Hidden order, superconductivity, and magnetism: The unsolved case of ${URu}_{2} {Si}_{2}$
journal, November 2011

Hidden order behaviour in URu ₂ Si ₂ (A critical review of the status of hidden order in 2014)
journal, May 2014

Neutron scattering studies on URu ₂ Si ₂
journal, July 2014

Structural characterization of new ternary compounds of uranium and cerium
journal, August 1985

Magnetochemistry and crystal chemistry of ternary actinoidmetal-silicides {Th, U}{Cu, Ru, Os, Ir, Pt}2Si2
journal, January 1987

Intermetallic compounds of rare-earth and 3d transition metals
journal, October 1977

Seeded growth in a soft lined crucible: Application to phosphorus doped optical germanium single crystals
journal, December 1986

Super Clean Sample of URu ₂ Si ₂
journal, January 2008

Spatially Inhomogeneous Development of Antiferromagnetism in ${URu}_{2} {Si}_{2}$ : Evidence from ${}^{29}S i$ NMR under Pressure
journal, August 2001

Antiferromagnetic patches and hidden order in ${URu}_{2} {Si}_{2}$ by impurity doping
journal, April 2010

Parasitic Small-Moment Antiferromagnetism and Nonlinear Coupling of Hidden Order and Antiferromagnetism in ${URu}_{2} {Si}_{2}$ Observed by Larmor Diffraction
journal, March 2010

Pressure–temperature phase diagram of the heavy-electron superconductor
journal, March 2007

Details of Sample Dependence and Transport Properties of URu ₂ Si ₂
journal, November 2011

High purity specimens of URu ₂ Si ₂ produced by a molten metal flux technique
journal, April 2014

Single Crystal Growth of URu2Si2 by the Modified Bridgman Technique
journal, October 2016

Investigation of the crystal structure of URu2Si2 by high-resolution X-ray diffraction
journal, January 1999

Symmetry and correlations underlying hidden order in ${URu}_{2} {Si}_{2}$
journal, January 2015

Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
journal, January 2011

Thermodynamic evidence for broken fourfold rotational symmetry in the hidden-order phase of URu2Si2
journal, November 2012

Cyclotron Resonance in the Hidden-Order Phase of ${URu}_{2} {Si}_{2}$
journal, July 2012

Possible Phase Transition Deep Inside the Hidden Order Phase of Ultraclean ${URu}_{2} {Si}_{2}$
journal, April 2009

Fermi surface properties and de Haas–van Alphen oscillation in both the normal and superconducting mixed states of URu ₂ Si ₂
journal, July 1999

Similarity of the Fermi Surface in the Hidden Order State and in the Antiferromagnetic State of ${URu}_{2} {Si}_{2}$
journal, November 2010

Direct observation of lattice symmetry breaking at the hidden-order transition in URu2Si2
journal, June 2014

X-ray backscattering study of crystal lattice distortion in hidden order of URu ₂ Si ₂
journal, September 2014

Evidence for a nematic component to the hidden-order parameter in URu2Si2 from differential elastoresistance measurements
journal, March 2015

NMR Study of In-Plane Twofold Ordering in ${URu}_{2} {Si}_{2}$
journal, June 2013

Dilute RKKY model for NMR line broadening in the hidden-order state of ${URu}_{2} {Si}_{2}$
journal, January 2016

Nuclear-resonance line shapes due to magnetic impurities in metals
journal, June 1974

¹⁰¹ Ru NQR and Hidden Order in URu ₂ Si ₂
journal, August 2005

Symmetry of the Hidden Order in URu ₂ Si ₂ from Nuclear Magnetic Resonance Studies
journal, November 2012

Odd-parity electronic multipolar ordering in ${URu}_{2} {Si}_{2}$ : Conclusions from Si and Ru NMR measurements
journal, June 2018

Pressure-induced rotational symmetry breaking in ${URu}_{2} {Si}_{2}$
journal, December 2018

Spin Nematic State as a Candidate of the Hidden Order Phase of ${URu}_{2} {Si}_{2}$
journal, May 2011

Modulated Spin Liquid: A New Paradigm for ${URu}_{2} {Si}_{2}$
journal, March 2011

Emergent rank-5 nematic order in URu2Si2
journal, June 2012

Hidden and antiferromagnetic order as a rank-5 superspin in URu $_{2}$ Si $_{2}$
journal, June 2012

Phase transition arising from the underscreened Anderson lattice model: A candidate concept for explaining hidden order in URu $_{2}$ Si $_{2}$
journal, April 2012

Hastatic order in the heavy-fermion compound URu2Si2
journal, January 2013

Superconductivity from fractionalized excitations in ${URu}_{2} {Si}_{2}$
journal, October 2014

Hastatic order in ${URu}_{2} {Si}_{2}$ : Hybridization with a twist
journal, May 2015

Unusual magnetic field-dependence of a possible hidden order phase
journal, August 2017

Neutron Scattering Experiments for the Study of In-Plane Ordered Moment in URu ₂ Si ₂
journal, May 2013

Strict limit on in-plane ordered magnetic dipole moment in ${URu}_{2}$ ${Si}_{2}$
journal, April 2014

Nature of the order parameter in the heavy-fermion system ${URu}_{2}$ ${Si}_{2}$
journal, October 1993

Anomalous phase transition in ${URu}_{2}$ ${Si}_{2}$
journal, July 1994

Weak-magnetism phenomena in heavy-fermion superconductors: selected SR studies
journal, September 2004

Effect of Pressure on Tiny Antiferromagnetic Moment in the Heavy-Electron Compound ${URu}_{2} {Si}_{2}$
journal, December 1999

Hidden order and weak antiferromagnetism in URu2Si2
journal, March 2002

Inhomogeneous magnetism in URu2Si2 studied by muon spin relaxation under high pressure
journal, February 2003

Evidence for broken time-reversal symmetry in the superconducting phase of ${URu}_{2} {Si}_{2}$
journal, April 2015

A model for metastable magnetism in the hidden-order phase of URu $_{2}$ Si $_{2}$
journal, January 2018

Signature of hidden order and evidence for periodicity modification in ${URu}_{2} {Si}_{2}$
journal, November 2010

Translational Symmetry Breaking and Gapping of Heavy-Quasiparticle Pocket in URu2Si2
journal, October 2013

Signature of hidden order in heavy fermion superconductor ${URu}_{2} {Si}_{2}$ : Resonance at the wave vector $Q_{0} = (1,0,0)$
journal, July 2008

Hidden order in URu2Si2 originates from Fermi surface gapping induced by dynamic symmetry breaking
journal, February 2009

Electronic structure theory of the hidden-order material ${URu}_{2} {Si}_{2}$
journal, November 2010

The Kondo Problem to Heavy Fermions
book, January 1993

Universality of the Mott–Ioffe–Regel limit in metals
journal, September 2004

Hall-effect and resistivity study of the heavy-fermion system ${URu}_{2}$ ${Si}_{2}$
journal, April 1987

Temperature dependence of the resistivity due to localized spin fluctuations. II. Coles alloys
journal, September 1972

Far-Infrared Properties of ${URu}_{2}$ ${Si}_{2}$
journal, September 1988

Detailed optical spectroscopy of hybridization gap and hidden-order transition in high-quality ${URu}_{2} {Si}_{2}$ single crystals
journal, December 2016