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:: 2020-01-09

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         = {2020},

  month        = {1}

}

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Ran, Sheng; Jeon, Inho; Pouse, Naveen
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Description of Multipole in f-Electron Systems
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Kusunose, Hiroaki
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Superconducting phases of f-electron compounds
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Pfleiderer, C.
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Chirality Induced Tilted-Hill Giant Nernst Signal
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Kotetes, Panagiotis; Varelogiannis, Georgios
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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
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Precise study of the resonance at Q0=(1,0,0) in URu2Si2
text, January 2010

Bourdarot, Frederic; Hassinger, Elena; Raymond, Stephane
arXiv
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The modulated spin liquid: a new paradigm for URu$_2$Si$_2$
text, January 2010

Pepin, C.; Norman, M. R.; Burdin, S.
arXiv
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Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
text, January 2011

Okazaki, R.; Shibauchi, T.; Shi, H. J.
arXiv
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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
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Magnetically driven superconductivity in CeCu2Si2
text, January 2012

Stockert, O.; Arndt, J.; Faulhaber, E.
arXiv
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Optical study of hybridization and hidden order in URu$_2$Si$_2$
text, January 2014

Hall, J. S.; Timusk, T.
arXiv
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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

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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

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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

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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

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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

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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

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

Superconducting and Magnetic Transitions in the Heavy-Fermion System U ${Ru}_{2}$ ${Si}_{2}$
journal, December 1985

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