Hidden order transition in URu2Si2: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy

Yuan, Ting; Figgins, Jeremy; Morr, Dirk K.

doi:10.1103/PhysRevB.86.035129

Title: Hidden order transition in URu₂Si₂: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy

Authors:: Yuan, Ting; Figgins, Jeremy; Morr, Dirk K.

Publication Date:: Thu Jul 19 00:00:00 EDT 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1102963

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review. B, Condensed Matter and Materials Physics

Additional Journal Information:: Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Volume: 86 Journal Issue: 3; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Yuan, Ting, Figgins, Jeremy, and Morr, Dirk K. Hidden order transition in URu2Si2: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevB.86.035129.

Copy to clipboard


                    Yuan, Ting, Figgins, Jeremy, & Morr, Dirk K. Hidden order transition in URu2Si2: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy.  United States.  https://doi.org/10.1103/PhysRevB.86.035129

Copy to clipboard


                    Yuan, Ting, Figgins, Jeremy, and Morr, Dirk K. Thu .  
"Hidden order transition in URu2Si2: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy".  United States.  https://doi.org/10.1103/PhysRevB.86.035129.

Copy to clipboard


                    
@article{osti_1102963,

  title        = {Hidden order transition in URu2Si2: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy},

  author       = {Yuan, Ting and Figgins, Jeremy and Morr, Dirk K.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.86.035129},

  journal      = {Physical Review. B, Condensed Matter and Materials Physics},

  number       = 3,

  volume       = 86,

  place        = {United States},

  year         = {Thu Jul 19 00:00:00 EDT 2012},

  month        = {Thu Jul 19 00:00:00 EDT 2012}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.86.035129

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 20 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Hybridization Gap in Heavy Fermion Compounds
journal, January 2001

Dordevic, S. V.; Basov, D. N.; Dilley, N. R.
Physical Review Letters, Vol. 86, Issue 4
DOI: 10.1103/PhysRevLett.86.684

Large-orbital-degeneracy expansion for the lattice Anderson model
journal, March 1987

Millis, A. J.; Lee, P. A.
Physical Review B, Vol. 35, Issue 7
DOI: 10.1103/PhysRevB.35.3394

Non-Fermi-liquid behavior in $d$ - and $f$ -electron metals
journal, October 2001

Stewart, G. R.
Reviews of Modern Physics, Vol. 73, Issue 4
DOI: 10.1103/RevModPhys.73.797

Non fermi liquid ground states in strongly correlated f-electron materials
journal, May 1995

Maple, M. B.; de Andrade, M. C.; Herrmann, J.
Journal of Low Temperature Physics, Vol. 99, Issue 3-4
DOI: 10.1007/BF00752290

Incommensurate spin resonance in ${URu}_{2} {Si}_{2}$
journal, June 2009

Balatsky, A. V.; Chantis, A.; Dahal, Hari P.
Physical Review B, Vol. 79, Issue 21
DOI: 10.1103/PhysRevB.79.214413

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

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

Imaging the Fano lattice to ‘hidden order’ transition in URu2Si2
journal, June 2010

Schmidt, A. R.; Hamidian, M. H.; Wahl, P.
Nature, Vol. 465, Issue 7298
DOI: 10.1038/nature09073

Tunneling into Clean Heavy Fermion Compounds: Origin of the Fano Line Shape
journal, December 2010

Wölfle, P.; Dubi, Y.; Balatsky, A. V.
Physical Review Letters, Vol. 105, Issue 24
DOI: 10.1103/PhysRevLett.105.246401

Onset of antiferromagnetism in heavy-fermion metals
journal, September 2000

Schröder, A.; Aeppli, G.; Coldea, R.
Nature, Vol. 407, Issue 6802
DOI: 10.1038/35030039

New approach to the mixed-valence problem
journal, March 1984

Coleman, Piers
Physical Review B, Vol. 29, Issue 6
DOI: 10.1103/PhysRevB.29.3035

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

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

Fermi-liquid instabilities at magnetic quantum phase transitions
journal, August 2007

Löhneysen, Hilbert v.; Rosch, Achim; Vojta, Matthias
Reviews of Modern Physics, Vol. 79, Issue 3
DOI: 10.1103/RevModPhys.79.1015

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

Defects in Heavy-Fermion Materials: Unveiling Strong Correlations in Real Space
journal, August 2011

Figgins, Jeremy; Morr, Dirk K.
Physical Review Letters, Vol. 107, Issue 6
DOI: 10.1103/PhysRevLett.107.066401

The break-up of heavy electrons at a quantum critical point
journal, July 2003

Custers, J.; Gegenwart, P.; Wilhelm, H.
Nature, Vol. 424, Issue 6948
DOI: 10.1038/nature01774

Mean-field theory of intermediate valence/heavy fermion systems
journal, January 1987

Newns, D. M.; Read, N.
Advances in Physics, Vol. 36, Issue 6
DOI: 10.1080/00018738700101082

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

$\frac{1}{N}$ expansion for the Kondo lattice
journal, November 1983

Coleman, Piers
Physical Review B, Vol. 28, Issue 9
DOI: 10.1103/PhysRevB.28.5255

Effects of Configuration Interaction on Intensities and Phase Shifts
journal, December 1961

Fano, U.
Physical Review, Vol. 124, Issue 6
DOI: 10.1103/PhysRev.124.1866

Locally critical quantum phase transitions in strongly correlated metals
journal, October 2001

Si, Qimiao; Rabello, Silvio; Ingersent, Kevin
Nature, Vol. 413, Issue 6858
DOI: 10.1038/35101507

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

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

Palstra, T. T. M.; Menovsky, A. A.; Berg, J. van den
Physical Review Letters, Vol. 55, Issue 24
DOI: 10.1103/PhysRevLett.55.2727

On the solution of the Coqblin-Schreiffer Hamiltonian by the large-N expansion technique
journal, June 1983

Read, N.; Newns, D. M.
Journal of Physics C: Solid State Physics, Vol. 16, Issue 17
DOI: 10.1088/0022-3719/16/17/014

Superexchange mechanism and d -wave superconductivity
journal, September 1988

Kotliar, Gabriel; Liu, Jialin
Physical Review B, Vol. 38, Issue 7
DOI: 10.1103/PhysRevB.38.5142

Electron Cotunneling into a Kondo Lattice
journal, November 2009

Maltseva, Marianna; Dzero, M.; Coleman, P.
Physical Review Letters, Vol. 103, Issue 20
DOI: 10.1103/PhysRevLett.103.206402

The Kondo lattice and weak antiferromagnetism
journal, July 1977

Doniach, S.
Physica B+C, Vol. 91
DOI: 10.1016/0378-4363(77)90190-5

Point-contact spectroscopy on ${URu}_{2}$ ${Si}_{2}$
journal, June 1997

Rodrigo, J. G.; Guinea, F.; Vieira, S.
Physical Review B, Vol. 55, Issue 21
DOI: 10.1103/PhysRevB.55.14318

Emerging local Kondo screening and spatial coherence in the heavy-fermion metal YbRh2Si2
journal, June 2011

Ernst, S.; Kirchner, S.; Krellner, C.
Nature, Vol. 474, Issue 7351
DOI: 10.1038/nature10148

Quantum criticality in heavy-fermion metals
journal, March 2008

Gegenwart, Philipp; Si, Qimiao; Steglich, Frank
Nature Physics, Vol. 4, Issue 3
DOI: 10.1038/nphys892

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

Resistance Minimum in Dilute Magnetic Alloys
journal, July 1964

Kondo, J.
Progress of Theoretical Physics, Vol. 32, Issue 1, p. 37-49
DOI: 10.1143/PTP.32.37

Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
journal, January 2007

Paul, I.; Pépin, C.; Norman, M. R.
Physical Review Letters, Vol. 98, Issue 2
DOI: 10.1103/PhysRevLett.98.026402

Helicity Order: Hidden Order Parameter in ${URu}_{2} {Si}_{2}$
journal, January 2006

Varma, C. M.; Zhu, Lijun
Physical Review Letters, Vol. 96, Issue 3
DOI: 10.1103/PhysRevLett.96.036405

Differential Conductance and Quantum Interference in Kondo Systems
journal, May 2010

Figgins, Jeremy; Morr, Dirk K.
Physical Review Letters, Vol. 104, Issue 18
DOI: 10.1103/PhysRevLett.104.187202

Fractionalized Fermi Liquids
journal, May 2003

Senthil, T.; Sachdev, Subir; Vojta, Matthias
Physical Review Letters, Vol. 90, Issue 21
DOI: 10.1103/PhysRevLett.90.216403

Review of techniques in the large- $N$ expansion for dilute magnetic alloys
journal, October 1987

Bickers, N. E.
Reviews of Modern Physics, Vol. 59, Issue 4
DOI: 10.1103/RevModPhys.59.845

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

Hidden orbital order in the heavy fermion metal URu2Si2
journal, June 2002

Chandra, P.; Coleman, P.; Mydosh, J. A.
Nature, Vol. 417, Issue 6891
DOI: 10.1038/nature00795

Temperature dependence of the antiferromagnetic state in ${URu}_{2}$ ${Si}_{2}$ by point-contact spectroscopy
journal, June 1994

Escudero, R.; Morales, F.; Lejay, P.
Physical Review B, Vol. 49, Issue 21
DOI: 10.1103/PhysRevB.49.15271

Hybridization Wave as the “Hidden Order” in ${URu}_{2} {Si}_{2}$
journal, February 2011

Dubi, Yonatan; Balatsky, Alexander V.
Physical Review Letters, Vol. 106, Issue 8
DOI: 10.1103/PhysRevLett.106.086401

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

Similar Records in DOE PAGES and OSTI.GOV collections:

Phase transition arising from the underscreened Anderson lattice model: A candidate concept for explaining hidden order in URu₂Si₂

Journal Article Riseborough, Peter S. ; Coqblin, B. ; Magalhães, S. G. - Physical Review. B, Condensed Matter and Materials Physics
Cited by 48
https://doi.org/10.1103/PhysRevB.85.165116
Emergence of higher order rotational symmetry in the hidden order phase of URu₂Si₂

Journal Article Kanchanavatee, N. ; Janoschek, M. ; Huang, K. ; ... - Philosophical Magazine (2003, Print)

Electrical resistivity measurements were performed in this paper as functions of temperature, magnetic field, and angle θ between the magnetic field and the c-axis of a URu₂Si₂ single crystal. The resistivity exhibits a two-fold oscillation as a function of θ at high temperatures, which undergoes a 180°-phase shift (sign change) with decreasing temperature at around 35 K. The hidden order transition is manifested as a minimum in the magnetoresistance and amplitude of the two-fold oscillation. Interestingly, the resistivity also showed four-fold, six-fold, and eight-fold symmetries at the hidden order transition. These higher order symmetries were also detected at low temperatures,more »« less
https://doi.org/10.1080/14786435.2016.1235294

Full Text Available
Suppression of Hidden Order and Emergence of Ferromagnetism in URu{sub 2-x}Re{sub x}Si{sub 2}

Conference Butch, Nicholas P ; Sayles, Todd A ; Yukich, Benjamin T ; ...

Measurements on URu{sub 2-x}Re{sub x}Si{sub 2} single crystals indicate that substitution of Re for Ru in URu{sub 2}Si{sub 2} reduces the transition temperature of the hidden order state and quickly destroys superconductivity. At intermediate Re concentrations, weak ferromagnetism emerges and non Fermi liquid (NFL) behavior is observed in the low-temperature specific heat and electrical resistivity. A scaled Arrott analysis of the magnetization indicates the onset of ferromagnetism at x = 0.15, where the hidden order disappears, and that the quantum phase transition is associated with novel critical exponents. (authors)
Influence of hydrostatic pressure on hidden order, the Kondo lattice, and magnetism in URu₂Si_2-xP_x

Journal Article Chappell, Greta L. ; Gallagher, A. ; Graf, D. E. ; ... - Physical Review. B

Within the chemical substitution series URu₂Si_2-xP_x, there is an evolution in the ground-state behavior from hidden ordered (HO) for x ≲ 0.03, to Kondo lattice behavior with no ordering (NO) for 0.03 ≲ x ≲ 0.26, to antiferromagnetism (AFM-2) for 0.26 ≲ x ≲ 0.5 [A. Gallagher et al., Nat. Commun. 7, 10712 (2016); A. Gallagher et al., J. Phys.: Condens. Matter 29, 024004 (2016)]. To better understand what factors control this behavior, temperature-dependent electrical resistivity measurements are performed for this series under applied pressures P up to 20.5 kbar. Specimens in the HO x region show similarities to themore »« less
https://doi.org/10.1103/physrevb.102.245152

Full Text Available
Momentum-Resolved Evolution of the Kondo Lattice into “Hidden Order” in ${URu}_{2} {Si}_{2}$

Journal Article Boariu, F. L. ; Bareille, C. ; Schwab, H. ; ... - Physical Review Letters
Cited by 43
https://doi.org/10.1103/PhysRevLett.110.156404

Similar Records

Title: Hidden order transition in URu2Si2: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy

Citation Formats

Hybridization Gap in Heavy Fermion Compounds journal, January 2001

Large-orbital-degeneracy expansion for the lattice Anderson model journal, March 1987

Non-Fermi-liquid behavior in d - and f -electron metals journal, October 2001

Non fermi liquid ground states in strongly correlated f-electron materials journal, May 1995

Incommensurate spin resonance in URu 2 Si 2 journal, June 2009

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

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

Imaging the Fano lattice to ‘hidden order’ transition in URu2Si2 journal, June 2010

Tunneling into Clean Heavy Fermion Compounds: Origin of the Fano Line Shape journal, December 2010

Onset of antiferromagnetism in heavy-fermion metals journal, September 2000

New approach to the mixed-valence problem journal, March 1984

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

Modulated Spin Liquid: A New Paradigm for URu 2 Si 2 journal, March 2011

Fermi-liquid instabilities at magnetic quantum phase transitions journal, August 2007

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

Defects in Heavy-Fermion Materials: Unveiling Strong Correlations in Real Space journal, August 2011

The break-up of heavy electrons at a quantum critical point journal, July 2003

Mean-field theory of intermediate valence/heavy fermion systems journal, January 1987

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

1 N expansion for the Kondo lattice journal, November 1983

Effects of Configuration Interaction on Intensities and Phase Shifts journal, December 1961

Locally critical quantum phase transitions in strongly correlated metals journal, October 2001

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

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

On the solution of the Coqblin-Schreiffer Hamiltonian by the large-N expansion technique journal, June 1983

Superexchange mechanism and d -wave superconductivity journal, September 1988

Electron Cotunneling into a Kondo Lattice journal, November 2009

The Kondo lattice and weak antiferromagnetism journal, July 1977

Point-contact spectroscopy on URu 2 Si 2 journal, June 1997

Emerging local Kondo screening and spatial coherence in the heavy-fermion metal YbRh2Si2 journal, June 2011

Quantum criticality in heavy-fermion metals journal, March 2008

Far-Infrared Properties of URu 2 Si 2 journal, September 1988

Resistance Minimum in Dilute Magnetic Alloys journal, July 1964

Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice journal, January 2007

Helicity Order: Hidden Order Parameter in URu 2 Si 2 journal, January 2006

Differential Conductance and Quantum Interference in Kondo Systems journal, May 2010

Fractionalized Fermi Liquids journal, May 2003

Review of techniques in the large- N expansion for dilute magnetic alloys journal, October 1987

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

Hidden orbital order in the heavy fermion metal URu2Si2 journal, June 2002

Temperature dependence of the antiferromagnetic state in URu 2 Si 2 by point-contact spectroscopy journal, June 1994

Hybridization Wave as the “Hidden Order” in URu 2 Si 2 journal, February 2011

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

Title: Hidden order transition in URu₂Si₂: Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy

Hybridization Gap in Heavy Fermion Compounds
journal, January 2001

Large-orbital-degeneracy expansion for the lattice Anderson model
journal, March 1987

Non-Fermi-liquid behavior in $d$ - and $f$ -electron metals
journal, October 2001

Non fermi liquid ground states in strongly correlated f-electron materials
journal, May 1995

Incommensurate spin resonance in ${URu}_{2} {Si}_{2}$
journal, June 2009

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

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

Imaging the Fano lattice to ‘hidden order’ transition in URu2Si2
journal, June 2010

Tunneling into Clean Heavy Fermion Compounds: Origin of the Fano Line Shape
journal, December 2010

Onset of antiferromagnetism in heavy-fermion metals
journal, September 2000

New approach to the mixed-valence problem
journal, March 1984

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

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

Fermi-liquid instabilities at magnetic quantum phase transitions
journal, August 2007

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

Defects in Heavy-Fermion Materials: Unveiling Strong Correlations in Real Space
journal, August 2011

The break-up of heavy electrons at a quantum critical point
journal, July 2003

Mean-field theory of intermediate valence/heavy fermion systems
journal, January 1987

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

$\frac{1}{N}$ expansion for the Kondo lattice
journal, November 1983

Effects of Configuration Interaction on Intensities and Phase Shifts
journal, December 1961

Locally critical quantum phase transitions in strongly correlated metals
journal, October 2001

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

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

On the solution of the Coqblin-Schreiffer Hamiltonian by the large-N expansion technique
journal, June 1983

Superexchange mechanism and d -wave superconductivity
journal, September 1988

Electron Cotunneling into a Kondo Lattice
journal, November 2009

The Kondo lattice and weak antiferromagnetism
journal, July 1977

Point-contact spectroscopy on ${URu}_{2}$ ${Si}_{2}$
journal, June 1997

Emerging local Kondo screening and spatial coherence in the heavy-fermion metal YbRh2Si2
journal, June 2011

Quantum criticality in heavy-fermion metals
journal, March 2008

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

Resistance Minimum in Dilute Magnetic Alloys
journal, July 1964

Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
journal, January 2007

Helicity Order: Hidden Order Parameter in ${URu}_{2} {Si}_{2}$
journal, January 2006

Differential Conductance and Quantum Interference in Kondo Systems
journal, May 2010

Fractionalized Fermi Liquids
journal, May 2003

Review of techniques in the large- $N$ expansion for dilute magnetic alloys
journal, October 1987

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

Hidden orbital order in the heavy fermion metal URu2Si2
journal, June 2002

Temperature dependence of the antiferromagnetic state in ${URu}_{2}$ ${Si}_{2}$ by point-contact spectroscopy
journal, June 1994

Hybridization Wave as the “Hidden Order” in ${URu}_{2} {Si}_{2}$
journal, February 2011

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