Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange

Saha, Preetha; Fan, Zhijie; Zhang, Depei; Chern, Gia-Wei

doi:10.1103/PhysRevLett.122.257204

Title: Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange

Authors:: Saha, Preetha; Fan, Zhijie; Zhang, Depei; Chern, Gia-Wei

Publication Date:: 2019-06-28

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1546270

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 25; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Saha, Preetha, Fan, Zhijie, Zhang, Depei, and Chern, Gia-Wei. Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevLett.122.257204.

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                    Saha, Preetha, Fan, Zhijie, Zhang, Depei, & Chern, Gia-Wei. Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange.  United States.  https://doi.org/10.1103/PhysRevLett.122.257204

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                    Saha, Preetha, Fan, Zhijie, Zhang, Depei, and Chern, Gia-Wei. Fri .  
"Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange".  United States.  https://doi.org/10.1103/PhysRevLett.122.257204.

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@article{osti_1546270,

  title        = {Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange},

  author       = {Saha, Preetha and Fan, Zhijie and Zhang, Depei and Chern, Gia-Wei},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.122.257204},

  journal      = {Physical Review Letters},

  number       = 25,

  volume       = 122,

  place        = {United States},

  year         = {2019},

  month        = {6}

}

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Works referenced in this record:

Breakdown of magnons in a strongly spin-orbital coupled magnet
journal, October 2017

Winter, Stephen M.; Riedl, Kira; Maksimov, Pavel A.
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/s41467-017-01177-0

Quantum phase diagram of the spin-1 $J_{1} - J_{2}$ Heisenberg model on the honeycomb lattice
journal, November 2015

Gong, Shou-Shu; Zhu, Wei; Sheng, D. N.
Physical Review B, Vol. 92, Issue 19
DOI: 10.1103/PhysRevB.92.195110

Orbital Order in Mott Insulators of Spinless $p$ -Band Fermions
journal, April 2008

Zhao, Erhai; Liu, W. Vincent
Physical Review Letters, Vol. 100, Issue 16
DOI: 10.1103/PhysRevLett.100.160403

Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes
journal, May 2014

Knolle, J.; Kovrizhin, D. L.; Chalker, J. T.
Physical Review Letters, Vol. 112, Issue 20
DOI: 10.1103/PhysRevLett.112.207203

Incommensurate counterrotating magnetic order stabilized by Kitaev interactions in the layered honeycomb $α − {Li}_{2} {IrO}_{3}$
journal, May 2016

Williams, S. C.; Johnson, R. D.; Freund, F.
Physical Review B, Vol. 93, Issue 19
DOI: 10.1103/PhysRevB.93.195158

Antiferromagnetism. The Triangular Ising Net
journal, July 1950

Wannier, G. H.
Physical Review, Vol. 79, Issue 2
DOI: 10.1103/PhysRev.79.357

Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate $β - {Li}_{2} {IrO}_{3}$
journal, October 2017

Veiga, L. S. I.; Etter, M.; Glazyrin, K.
Physical Review B, Vol. 96, Issue 14
DOI: 10.1103/PhysRevB.96.140402

Compass models: Theory and physical motivations
journal, January 2015

Nussinov, Zohar; van den Brink, Jeroen
Reviews of Modern Physics, Vol. 87, Issue 1
DOI: 10.1103/RevModPhys.87.1

Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales
journal, June 2016

Winter, Stephen M.; Li, Ying; Jeschke, Harald O.
Physical Review B, Vol. 93, Issue 21
DOI: 10.1103/PhysRevB.93.214431

Correlated Quantum Phenomena in the Strong Spin-Orbit Regime
journal, March 2014

Witczak-Krempa, William; Chen, Gang; Kim, Yong Baek
Annual Review of Condensed Matter Physics, Vol. 5, Issue 1
DOI: 10.1146/annurev-conmatphys-020911-125138

Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $β − {Li}_{2} {IrO}_{3}$ : Full solution via magnetic resonant x-ray diffraction
journal, November 2014

Biffin, A.; Johnson, R. D.; Choi, Sungkyun
Physical Review B, Vol. 90, Issue 20
DOI: 10.1103/PhysRevB.90.205116

Classical and quantum spin dynamics of the honeycomb $Γ$ model
journal, July 2018

Samarakoon, Anjana M.; Wachtel, Gideon; Yamaji, Youhei
Physical Review B, Vol. 98, Issue 4
DOI: 10.1103/PhysRevB.98.045121

Spin- $S$ Kitaev model: Classical ground states, order from disorder, and exact correlation functions
journal, September 2008

Baskaran, G.; Sen, Diptiman; Shankar, R.
Physical Review B, Vol. 78, Issue 11
DOI: 10.1103/PhysRevB.78.115116

Plaquette order and deconfined quantum critical point in the spin-1 bilinear-biquadratic Heisenberg model on the honeycomb lattice
journal, April 2012

Zhao, H. H.; Xu, Cenke; Chen, Q. N.
Physical Review B, Vol. 85, Issue 13
DOI: 10.1103/PhysRevB.85.134416

Evidence for a Field-Induced Quantum Spin Liquid in $α$ - ${RuCl}_{3}$
journal, July 2017

Baek, S. -H.; Do, S. -H.; Choi, K. -Y.
Physical Review Letters, Vol. 119, Issue 3
DOI: 10.1103/PhysRevLett.119.037201

Deconfined Criticality in the Frustrated Heisenberg Honeycomb Antiferromagnet
journal, March 2013

Ganesh, R.; van den Brink, Jeroen; Nishimoto, Satoshi
Physical Review Letters, Vol. 110, Issue 12
DOI: 10.1103/PhysRevLett.110.127203

The Jahn-Teller effect and magnetism: transition metal compounds
journal, April 1982

Kugel', Kliment I.; Khomskiĭ, D. I.
Soviet Physics Uspekhi, Vol. 25, Issue 4
DOI: 10.1070/PU1982v025n04ABEH004537

Dipolar Spin Correlations in Classical Pyrochlore Magnets
journal, October 2004

Isakov, S. V.; Gregor, K.; Moessner, R.
Physical Review Letters, Vol. 93, Issue 16
DOI: 10.1103/PhysRevLett.93.167204

Weak Plaquette Valence Bond Order in the $S = 1 / 2$ Honeycomb $J_{1} - J_{2}$ Heisenberg Model
journal, March 2013

Zhu, Zhenyue; Huse, David A.; White, Steven R.
Physical Review Letters, Vol. 110, Issue 12
DOI: 10.1103/PhysRevLett.110.127205

Successive magnetic phase transitions in $α - {RuCl}_{3}$ : XY-like frustrated magnet on the honeycomb lattice
journal, March 2015

Kubota, Yumi; Tanaka, Hidekazu; Ono, Toshio
Physical Review B, Vol. 91, Issue 9
DOI: 10.1103/PhysRevB.91.094422

Noncoplanar and Counterrotating Incommensurate Magnetic Order Stabilized by Kitaev Interactions in $γ − {Li}_{2} {IrO}_{3}$
journal, November 2014

Biffin, A.; Johnson, R. D.; Kimchi, I.
Physical Review Letters, Vol. 113, Issue 19
DOI: 10.1103/PhysRevLett.113.197201

Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of $α − {RuCl}_{3}$
journal, December 2017

Zheng, Jiacheng; Ran, Kejing; Li, Tianrun
Physical Review Letters, Vol. 119, Issue 22
DOI: 10.1103/PhysRevLett.119.227208

Importance of anisotropic exchange interactions in honeycomb iridates: Minimal model for zigzag antiferromagnetic order in ${Na}_{2} {IrO}_{3}$
journal, October 2014

Sizyuk, Yuriy; Price, Craig; Wölfle, Peter
Physical Review B, Vol. 90, Issue 15
DOI: 10.1103/PhysRevB.90.155126

Vaporization of Kitaev Spin Liquids
journal, November 2014

Nasu, Joji; Udagawa, Masafumi; Motome, Yukitoshi
Physical Review Letters, Vol. 113, Issue 19
DOI: 10.1103/PhysRevLett.113.197205

Breakdown of Magnetic Order in the Pressurized Kitaev Iridate $β − {Li}_{2} {IrO}_{3}$
journal, June 2018

Majumder, M.; Manna, R. S.; Simutis, G.
Physical Review Letters, Vol. 120, Issue 23
DOI: 10.1103/PhysRevLett.120.237202

$α - {RuCl}_{3}$ : A spin-orbit assisted Mott insulator on a honeycomb lattice
journal, July 2014

Plumb, K. W.; Clancy, J. P.; Sandilands, L. J.
Physical Review B, Vol. 90, Issue 4
DOI: 10.1103/PhysRevB.90.041112

Magnetic Excitations and Continuum of a Possibly Field-Induced Quantum Spin Liquid in $α − {RuCl}_{3}$
journal, November 2017

Wang, Zhe; Reschke, S.; Hüvonen, D.
Physical Review Letters, Vol. 119, Issue 22
DOI: 10.1103/PhysRevLett.119.227202

Anderson localization and breakdown of hydrodynamics in random ferromagnets
journal, May 1986

Bruinsma, R.; Coppersmith, S. N.
Physical Review B, Vol. 33, Issue 9
DOI: 10.1103/PhysRevB.33.6541

Quantum spin liquid in the semiclassical regime
journal, April 2018

Rousochatzakis, Ioannis; Sizyuk, Yuriy; Perkins, Natalia B.
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-03934-1

Electron Coherence in a Melting Lead Monolayer
journal, December 2004

Baumberger, F.
Science, Vol. 306, Issue 5705
DOI: 10.1126/science.1103984

Properties of a Classical Spin Liquid: The Heisenberg Pyrochlore Antiferromagnet
journal, March 1998

Moessner, R.; Chalker, J. T.
Physical Review Letters, Vol. 80, Issue 13
DOI: 10.1103/PhysRevLett.80.2929

Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
journal, May 2018

Liu, Zheng-Xin; Normand, B.
Physical Review Letters, Vol. 120, Issue 18
DOI: 10.1103/PhysRevLett.120.187201

Radial Band Structure of Electrons in Liquid Metals
journal, September 2011

Kim, Keun Su; Yeom, Han Woong
Physical Review Letters, Vol. 107, Issue 13
DOI: 10.1103/PhysRevLett.107.136402

Power-law spin correlations in pyrochlore antiferromagnets
journal, January 2005

Henley, C. L.
Physical Review B, Vol. 71, Issue 1
DOI: 10.1103/PhysRevB.71.014424

Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_{2} {IrO}_{3}$
journal, July 2010

Chaloupka, Jiří; Jackeli, George; Khaliullin, Giniyat
Physical Review Letters, Vol. 105, Issue 2
DOI: 10.1103/PhysRevLett.105.027204

Crystal structure and magnetism in $α - {RuCl}_{3}$ : An ab initio study
journal, April 2016

Kim, Heung-Sik; Kee, Hae-Young
Physical Review B, Vol. 93, Issue 15
DOI: 10.1103/PhysRevB.93.155143

Realization of a three-dimensional spin–anisotropic harmonic honeycomb iridate
journal, June 2014

Modic, K. A.; Smidt, Tess E.; Kimchi, Itamar
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms5203

Comprehensive study of the dynamics of a classical Kitaev spin liquid
journal, October 2017

Samarakoon, A. M.; Banerjee, A.; Zhang, S. -S.
Physical Review B, Vol. 96, Issue 13
DOI: 10.1103/PhysRevB.96.134408

Stable and fast semi-implicit integration of the stochastic Landau–Lifshitz equation
journal, April 2010

Mentink, J. H.; Tretyakov, M. V.; Fasolino, A.
Journal of Physics: Condensed Matter, Vol. 22, Issue 17
DOI: 10.1088/0953-8984/22/17/176001

Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets
journal, April 2017

Rousochatzakis, Ioannis; Perkins, Natalia B.
Physical Review Letters, Vol. 118, Issue 14
DOI: 10.1103/PhysRevLett.118.147204

Semiclassical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
journal, August 2014

Taillefumier, Mathieu; Robert, Julien; Henley, Christopher L.
Physical Review B, Vol. 90, Issue 6
DOI: 10.1103/PhysRevB.90.064419

Zigzag Magnetic Order in the Iridium Oxide ${Na}_{2} {IrO}_{3}$
journal, February 2013

Chaloupka, Jiří; Jackeli, George; Khaliullin, Giniyat
Physical Review Letters, Vol. 110, Issue 9
DOI: 10.1103/PhysRevLett.110.097204

Classical spin liquid: Exact solution for the infinite-component antiferromagnetic model on the kagomé lattice
journal, January 1999

Garanin, D. A.; Canals, Benjamin
Physical Review B, Vol. 59, Issue 1
DOI: 10.1103/PhysRevB.59.443

Anyons in an exactly solved model and beyond
journal, January 2006

Kitaev, Alexei
Annals of Physics, Vol. 321, Issue 1
DOI: 10.1016/j.aop.2005.10.005

Monoclinic crystal structure of $α - {RuCl}_{3}$ and the zigzag antiferromagnetic ground state
journal, December 2015

Johnson, R. D.; Williams, S. C.; Haghighirad, A. A.
Physical Review B, Vol. 92, Issue 23
DOI: 10.1103/PhysRevB.92.235119

Orbital Ordering and Frustration of $p$ -Band Mott Insulators
journal, May 2008

Wu, Congjun
Physical Review Letters, Vol. 100, Issue 20
DOI: 10.1103/PhysRevLett.100.200406

Orbital ice: An exact Coulomb phase on the diamond lattice
journal, December 2011

Chern, Gia-Wei; Wu, Congjun
Physical Review E, Vol. 84, Issue 6
DOI: 10.1103/PhysRevE.84.061127

Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings
journal, September 2010

Chandra, Samarth; Ramola, Kabir; Dhar, Deepak
Physical Review E, Vol. 82, Issue 3
DOI: 10.1103/PhysRevE.82.031113

Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
journal, January 2016

Nishimoto, Satoshi; Katukuri, Vamshi M.; Yushankhai, Viktor
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms10273

Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet
journal, February 1992

Chalker, J. T.; Holdsworth, P. C. W.; Shender, E. F.
Physical Review Letters, Vol. 68, Issue 6
DOI: 10.1103/PhysRevLett.68.855

Magnetic order in $α - {RuCl}_{3}$ : A honeycomb-lattice quantum magnet with strong spin-orbit coupling
journal, April 2015

Sears, J. A.; Songvilay, M.; Plumb, K. W.
Physical Review B, Vol. 91, Issue 14
DOI: 10.1103/PhysRevB.91.144420

Hyperhoneycomb Iridate $β − {Li}_{2} {IrO}_{3}$ as a Platform for Kitaev Magnetism
journal, February 2015

Takayama, T.; Kato, A.; Dinnebier, R.
Physical Review Letters, Vol. 114, Issue 7
DOI: 10.1103/PhysRevLett.114.077202

Generic Spin Model for the Honeycomb Iridates beyond the Kitaev Limit
journal, February 2014

Rau, Jeffrey G.; Lee, Eric Kin-Ho; Kee, Hae-Young
Physical Review Letters, Vol. 112, Issue 7
DOI: 10.1103/PhysRevLett.112.077204

Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates $A_{2} {IrO}_{3}$
journal, March 2012

Singh, Yogesh; Manni, S.; Reuther, J.
Physical Review Letters, Vol. 108, Issue 12
DOI: 10.1103/PhysRevLett.108.127203

Spin Waves and Revised Crystal Structure of Honeycomb Iridate ${Na}_{2} {IrO}_{3}$
journal, March 2012

Choi, S. K.; Coldea, R.; Kolmogorov, A. N.
Physical Review Letters, Vol. 108, Issue 12
DOI: 10.1103/PhysRevLett.108.127204

Magnetic anisotropy in the Kitaev model systems ${Na}_{2} {IrO}_{3}$ and ${RuCl}_{3}$
journal, August 2016

Chaloupka, Jiří; Khaliullin, Giniyat
Physical Review B, Vol. 94, Issue 6
DOI: 10.1103/PhysRevB.94.064435

Critical Properties of the Kitaev-Heisenberg Model
journal, November 2012

Price, Craig C.; Perkins, Natalia B.
Physical Review Letters, Vol. 109, Issue 18
DOI: 10.1103/PhysRevLett.109.187201

Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $α − {RuCl}_{3}$ and ${Na}_{2} {IrO}_{3}$
journal, August 2017

Janssen, Lukas; Andrade, Eric C.; Vojta, Matthias
Physical Review B, Vol. 96, Issue 6
DOI: 10.1103/PhysRevB.96.064430

Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation of single-crystal Na $_{2}$ IrO $_{3}$
journal, May 2012

Ye, Feng; Chi, Songxue; Cao, Huibo
Physical Review B, Vol. 85, Issue 18
DOI: 10.1103/PhysRevB.85.180403

Dipolar Order by Disorder in the Classical Heisenberg Antiferromagnet on the Kagome Lattice
journal, February 2013

Chern, Gia-Wei; Moessner, R.
Physical Review Letters, Vol. 110, Issue 7
DOI: 10.1103/PhysRevLett.110.077201

The Potts model
journal, January 1982

Wu, F. Y.
Reviews of Modern Physics, Vol. 54, Issue 1
DOI: 10.1103/RevModPhys.54.235

Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: Paving the way toward a quantum spin liquid
journal, December 2016

Kim, Heung-Sik; Kim, Yong Baek; Kee, Hae-Young
Physical Review B, Vol. 94, Issue 24
DOI: 10.1103/PhysRevB.94.245127

Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
journal, January 2009

Jackeli, G.; Khaliullin, G.
Physical Review Letters, Vol. 102, Issue 1
DOI: 10.1103/PhysRevLett.102.017205

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3
journal, May 2015

Hwan Chun, Sae; Kim, Jong-Woo; Kim, Jungho
Nature Physics, Vol. 11, Issue 6
DOI: 10.1038/nphys3322

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Title: Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange

Citation Formats

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The Potts model journal, January 1982

Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: Paving the way toward a quantum spin liquid journal, December 2016

Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models journal, January 2009

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3 journal, May 2015

Breakdown of magnons in a strongly spin-orbital coupled magnet
journal, October 2017

Quantum phase diagram of the spin-1 $J_{1} - J_{2}$ Heisenberg model on the honeycomb lattice
journal, November 2015

Orbital Order in Mott Insulators of Spinless $p$ -Band Fermions
journal, April 2008

Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes
journal, May 2014

Incommensurate counterrotating magnetic order stabilized by Kitaev interactions in the layered honeycomb $α − {Li}_{2} {IrO}_{3}$
journal, May 2016

Antiferromagnetism. The Triangular Ising Net
journal, July 1950

Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate $β - {Li}_{2} {IrO}_{3}$
journal, October 2017

Compass models: Theory and physical motivations
journal, January 2015

Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales
journal, June 2016

Correlated Quantum Phenomena in the Strong Spin-Orbit Regime
journal, March 2014

Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $β − {Li}_{2} {IrO}_{3}$ : Full solution via magnetic resonant x-ray diffraction
journal, November 2014

Classical and quantum spin dynamics of the honeycomb $Γ$ model
journal, July 2018

Spin- $S$ Kitaev model: Classical ground states, order from disorder, and exact correlation functions
journal, September 2008

Plaquette order and deconfined quantum critical point in the spin-1 bilinear-biquadratic Heisenberg model on the honeycomb lattice
journal, April 2012

Evidence for a Field-Induced Quantum Spin Liquid in $α$ - ${RuCl}_{3}$
journal, July 2017

Deconfined Criticality in the Frustrated Heisenberg Honeycomb Antiferromagnet
journal, March 2013

The Jahn-Teller effect and magnetism: transition metal compounds
journal, April 1982

Dipolar Spin Correlations in Classical Pyrochlore Magnets
journal, October 2004

Weak Plaquette Valence Bond Order in the $S = 1 / 2$ Honeycomb $J_{1} - J_{2}$ Heisenberg Model
journal, March 2013

Successive magnetic phase transitions in $α - {RuCl}_{3}$ : XY-like frustrated magnet on the honeycomb lattice
journal, March 2015

Noncoplanar and Counterrotating Incommensurate Magnetic Order Stabilized by Kitaev Interactions in $γ − {Li}_{2} {IrO}_{3}$
journal, November 2014

Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of $α − {RuCl}_{3}$
journal, December 2017

Importance of anisotropic exchange interactions in honeycomb iridates: Minimal model for zigzag antiferromagnetic order in ${Na}_{2} {IrO}_{3}$
journal, October 2014

Vaporization of Kitaev Spin Liquids
journal, November 2014

Breakdown of Magnetic Order in the Pressurized Kitaev Iridate $β − {Li}_{2} {IrO}_{3}$
journal, June 2018

$α - {RuCl}_{3}$ : A spin-orbit assisted Mott insulator on a honeycomb lattice
journal, July 2014

Magnetic Excitations and Continuum of a Possibly Field-Induced Quantum Spin Liquid in $α − {RuCl}_{3}$
journal, November 2017

Anderson localization and breakdown of hydrodynamics in random ferromagnets
journal, May 1986

Quantum spin liquid in the semiclassical regime
journal, April 2018

Electron Coherence in a Melting Lead Monolayer
journal, December 2004

Properties of a Classical Spin Liquid: The Heisenberg Pyrochlore Antiferromagnet
journal, March 1998

Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
journal, May 2018

Radial Band Structure of Electrons in Liquid Metals
journal, September 2011

Power-law spin correlations in pyrochlore antiferromagnets
journal, January 2005

Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_{2} {IrO}_{3}$
journal, July 2010

Crystal structure and magnetism in $α - {RuCl}_{3}$ : An ab initio study
journal, April 2016

Realization of a three-dimensional spin–anisotropic harmonic honeycomb iridate
journal, June 2014

Comprehensive study of the dynamics of a classical Kitaev spin liquid
journal, October 2017

Stable and fast semi-implicit integration of the stochastic Landau–Lifshitz equation
journal, April 2010

Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets
journal, April 2017

Semiclassical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
journal, August 2014

Zigzag Magnetic Order in the Iridium Oxide ${Na}_{2} {IrO}_{3}$
journal, February 2013

Classical spin liquid: Exact solution for the infinite-component antiferromagnetic model on the kagomé lattice
journal, January 1999

Anyons in an exactly solved model and beyond
journal, January 2006

Monoclinic crystal structure of $α - {RuCl}_{3}$ and the zigzag antiferromagnetic ground state
journal, December 2015

Orbital Ordering and Frustration of $p$ -Band Mott Insulators
journal, May 2008

Orbital ice: An exact Coulomb phase on the diamond lattice
journal, December 2011

Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings
journal, September 2010

Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
journal, January 2016

Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet
journal, February 1992

Magnetic order in $α - {RuCl}_{3}$ : A honeycomb-lattice quantum magnet with strong spin-orbit coupling
journal, April 2015

Hyperhoneycomb Iridate $β − {Li}_{2} {IrO}_{3}$ as a Platform for Kitaev Magnetism
journal, February 2015

Generic Spin Model for the Honeycomb Iridates beyond the Kitaev Limit
journal, February 2014

Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates $A_{2} {IrO}_{3}$
journal, March 2012

Spin Waves and Revised Crystal Structure of Honeycomb Iridate ${Na}_{2} {IrO}_{3}$
journal, March 2012

Magnetic anisotropy in the Kitaev model systems ${Na}_{2} {IrO}_{3}$ and ${RuCl}_{3}$
journal, August 2016

Critical Properties of the Kitaev-Heisenberg Model
journal, November 2012

Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $α − {RuCl}_{3}$ and ${Na}_{2} {IrO}_{3}$
journal, August 2017

Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation of single-crystal Na $_{2}$ IrO $_{3}$
journal, May 2012

Dipolar Order by Disorder in the Classical Heisenberg Antiferromagnet on the Kagome Lattice
journal, February 2013

The Potts model
journal, January 1982

Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: Paving the way toward a quantum spin liquid
journal, December 2016

Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
journal, January 2009

Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3
journal, May 2015