Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice

Zhang, Shang-Shun; Wang, Zhentao; Halász, Gábor B.; Batista, Cristian D.

doi:10.1103/PhysRevLett.123.057201

Title: Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice

Authors:: Zhang, Shang-Shun; Wang, Zhentao; Halász, Gábor B.; Batista, Cristian D.

Publication Date:: Wed Jul 31 00:00:00 EDT 2019

Sponsoring Org.:: USDOE

OSTI Identifier:: 1545947

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 5; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Zhang, Shang-Shun, Wang, Zhentao, Halász, Gábor B., and Batista, Cristian D. Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevLett.123.057201.

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                    Zhang, Shang-Shun, Wang, Zhentao, Halász, Gábor B., & Batista, Cristian D. Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice.  United States.  https://doi.org/10.1103/PhysRevLett.123.057201

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                    Zhang, Shang-Shun, Wang, Zhentao, Halász, Gábor B., and Batista, Cristian D. Wed .  
"Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice".  United States.  https://doi.org/10.1103/PhysRevLett.123.057201.

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@article{osti_1545947,

  title        = {Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice},

  author       = {Zhang, Shang-Shun and Wang, Zhentao and Halász, Gábor B. and Batista, Cristian D.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.123.057201},

  journal      = {Physical Review Letters},

  number       = 5,

  volume       = 123,

  place        = {United States},

  year         = {Wed Jul 31 00:00:00 EDT 2019},

  month        = {Wed Jul 31 00:00:00 EDT 2019}

}

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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

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

Finite-temperature phase diagram of the Heisenberg-Kitaev model
journal, September 2011

Reuther, Johannes; Thomale, Ronny; Trebst, Simon
Physical Review B, Vol. 84, Issue 10
DOI: 10.1103/PhysRevB.84.100406

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

Excitations in the field-induced quantum spin liquid state of α-RuCl3
journal, February 2018

Banerjee, Arnab; Lampen-Kelley, Paula; Knolle, Johannes
npj Quantum Materials, Vol. 3, Issue 1
DOI: 10.1038/s41535-018-0079-2

Phase diagram of $α - {RuCl}_{3}$ in an in-plane magnetic field
journal, May 2017

Sears, J. A.; Zhao, Y.; Xu, Z.
Physical Review B, Vol. 95, Issue 18
DOI: 10.1103/PhysRevB.95.180411

Quantum spin liquids: a review
journal, November 2016

Savary, Lucile; Balents, Leon
Reports on Progress in Physics, Vol. 80, Issue 1
DOI: 10.1088/0034-4885/80/1/016502

${Na}_{2} {IrO}_{3}$ as a Novel Relativistic Mott Insulator with a 340-meV Gap
journal, December 2012

Comin, R.; Levy, G.; Ludbrook, B.
Physical Review Letters, Vol. 109, Issue 26
DOI: 10.1103/PhysRevLett.109.266406

Frustration and chiral orderings in correlated electron systems
journal, July 2016

Batista, Cristian D.; Lin, Shi-Zeng; Hayami, Satoru
Reports on Progress in Physics, Vol. 79, Issue 8
DOI: 10.1088/0034-4885/79/8/084504

A relation between the temperature exponents of the eight-vertex and q-state Potts model
journal, October 1979

Nijs, M. P. M. den
Journal of Physics A: Mathematical and General, Vol. 12, Issue 10
DOI: 10.1088/0305-4470/12/10/030

Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
journal, July 2014

Sela, Eran; Jiang, Hong-Chen; Gerlach, Max H.
Physical Review B, Vol. 90, Issue 3
DOI: 10.1103/PhysRevB.90.035113

Phase Diagram and Quantum Order by Disorder in the Kitaev $K_{1} - K_{2}$ Honeycomb Magnet
journal, December 2015

Rousochatzakis, Ioannis; Reuther, Johannes; Thomale, Ronny
Physical Review X, Vol. 5, Issue 4
DOI: 10.1103/PhysRevX.5.041035

Models and materials for generalized Kitaev magnetism
journal, November 2017

Winter, Stephen M.; Tsirlin, Alexander A.; Daghofer, Maria
Journal of Physics: Condensed Matter, Vol. 29, Issue 49
DOI: 10.1088/1361-648X/aa8cf5

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

Low-Energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
journal, July 2016

Song, Xue-Yang; You, Yi-Zhuang; Balents, Leon
Physical Review Letters, Vol. 117, Issue 3
DOI: 10.1103/PhysRevLett.117.037209

Resonant Inelastic X-Ray Scattering Response of the Kitaev Honeycomb Model
journal, September 2016

Halász, Gábor B.; Perkins, Natalia B.; van den Brink, Jeroen
Physical Review Letters, Vol. 117, Issue 12
DOI: 10.1103/PhysRevLett.117.127203

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

Anisotropic ${Ru}^{3 +} 4 d^{5}$ magnetism in the $α - {RuCl}_{3}$ honeycomb system: Susceptibility, specific heat, and zero-field NMR
journal, May 2015

Majumder, M.; Schmidt, M.; Rosner, H.
Physical Review B, Vol. 91, Issue 18
DOI: 10.1103/PhysRevB.91.180401

Scattering Continuum and Possible Fractionalized Excitations in $α − {RuCl}_{3}$
journal, April 2015

Sandilands, Luke J.; Tian, Yao; Plumb, Kemp W.
Physical Review Letters, Vol. 114, Issue 14
DOI: 10.1103/PhysRevLett.114.147201

From a Quasimolecular Band Insulator to a Relativistic Mott Insulator in $t_{2 g}^{5}$ Systems with a Honeycomb Lattice Structure
journal, October 2016

Kim, Beom Hyun; Shirakawa, Tomonori; Yunoki, Seiji
Physical Review Letters, Vol. 117, Issue 18
DOI: 10.1103/PhysRevLett.117.187201

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

A spin–orbital-entangled quantum liquid on a honeycomb lattice
journal, February 2018

Kitagawa, K.; Takayama, T.; Matsumoto, Y.
Nature, Vol. 554, Issue 7692
DOI: 10.1038/nature25482

$α - {RuCl}_{3}$ : 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

Unveiling magnetic interactions of ruthenium trichloride via constraining direction of orbital moments: Potential routes to realize a quantum spin liquid
journal, August 2017

Hou, Y. S.; Xiang, H. J.; Gong, X. G.
Physical Review B, Vol. 96, Issue 5
DOI: 10.1103/PhysRevB.96.054410

Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α-RuCl3
journal, November 2016

Yadav, Ravi; Bogdanov, Nikolay A.; Katukuri, Vamshi M.
Scientific Reports, Vol. 6, Issue 1
DOI: 10.1038/srep37925

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

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

Possible proximity of the Mott insulating iridate Na $_{2}$ IrO $_{3}$ to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
journal, June 2011

Jiang, Hong-Chen; Gu, Zheng-Cheng; Qi, Xiao-Liang
Physical Review B, Vol. 83, Issue 24
DOI: 10.1103/PhysRevB.83.245104

First-Principles Study of the Honeycomb-Lattice Iridates ${Na}_{2} {IrO}_{3}$ in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
journal, September 2014

Yamaji, Youhei; Nomura, Yusuke; Kurita, Moyuru
Physical Review Letters, Vol. 113, Issue 10
DOI: 10.1103/PhysRevLett.113.107201

Coulombic Quantum Liquids in Spin- $1 / 2$ Pyrochlores
journal, January 2012

Savary, Lucile; Balents, Leon
Physical Review Letters, Vol. 108, Issue 3
DOI: 10.1103/PhysRevLett.108.037202

Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
journal, April 2016

Banerjee, A.; Bridges, C. A.; Yan, J. -Q.
Nature Materials, Vol. 15, Issue 7
DOI: 10.1038/nmat4604

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

Spin liquids in frustrated magnets
journal, March 2010

Balents, Leon
Nature, Vol. 464, Issue 7286
DOI: 10.1038/nature08917

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

Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
journal, March 2016

Rau, Jeffrey G.; Lee, Eric Kin-Ho; Kee, Hae-Young
Annual Review of Condensed Matter Physics, Vol. 7, Issue 1
DOI: 10.1146/annurev-conmatphys-031115-011319

$Z_{2}$ spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice
journal, July 2011

Lu, Yuan-Ming; Ran, Ying
Physical Review B, Vol. 84, Issue 2
DOI: 10.1103/PhysRevB.84.024420

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

Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections
journal, March 2018

Hermanns, M.; Kimchi, I.; Knolle, J.
Annual Review of Condensed Matter Physics, Vol. 9, Issue 1
DOI: 10.1146/annurev-conmatphys-033117-053934

Doping a spin-orbit Mott insulator: Topological superconductivity from the Kitaev-Heisenberg model and possible application to (Na $_{2}$ /Li $_{2}$ )IrO $_{3}$
journal, August 2012

You, Yi-Zhuang; Kimchi, Itamar; Vishwanath, Ashvin
Physical Review B, Vol. 86, Issue 8
DOI: 10.1103/PhysRevB.86.085145

Neutron scattering in the proximate quantum spin liquid α-RuCl ₃
journal, June 2017

Banerjee, Arnab; Yan, Jiaqiang; Knolle, Johannes
Science, Vol. 356, Issue 6342
DOI: 10.1126/science.aah6015

Unusual Phonon Heat Transport in $α − {RuCl}_{3}$ : Strong Spin-Phonon Scattering and Field-Induced Spin Gap
journal, March 2018

Hentrich, Richard; Wolter, Anja U. B.; Zotos, Xenophon
Physical Review Letters, Vol. 120, Issue 11
DOI: 10.1103/PhysRevLett.120.117204

Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
journal, June 2014

Hermanns, M.; Trebst, S.
Physical Review B, Vol. 89, Issue 23
DOI: 10.1103/PhysRevB.89.235102

Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
journal, July 2018

Kasahara, Y.; Ohnishi, T.; Mizukami, Y.
Nature, Vol. 559, Issue 7713
DOI: 10.1038/s41586-018-0274-0

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

Majorana fermions in the Kitaev quantum spin system α-RuCl3
journal, September 2017

Do, Seung-Hwan; Park, Sang-Youn; Yoshitake, Junki
Nature Physics, Vol. 13, Issue 11
DOI: 10.1038/nphys4264

Kitaev magnetism in honeycomb ${RuCl}_{3}$ with intermediate spin-orbit coupling
journal, June 2015

Kim, Heung-Sik; V., Vijay Shankar; Catuneanu, Andrei
Physical Review B, Vol. 91, Issue 24
DOI: 10.1103/PhysRevB.91.241110

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

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

Probing Spinon Nodal Structures in Three-Dimensional Kitaev Spin Liquids
journal, August 2017

Halász, Gábor B.; Perreault, Brent; Perkins, Natalia B.
Physical Review Letters, Vol. 119, Issue 9
DOI: 10.1103/PhysRevLett.119.097202

Dynamics of fractionalization in quantum spin liquids
journal, September 2015

Knolle, J.; Kovrizhin, D. L.; Chalker, J. T.
Physical Review B, Vol. 92, Issue 11
DOI: 10.1103/PhysRevB.92.115127

Spin-orbit excitations and electronic structure of the putative Kitaev magnet $α - {RuCl}_{3}$
journal, February 2016

Sandilands, Luke J.; Tian, Yao; Reijnders, Anjan A.
Physical Review B, Vol. 93, Issue 7
DOI: 10.1103/PhysRevB.93.075144

Theory of the field-revealed Kitaev spin liquid
journal, June 2019

Gordon, Jacob S.; Catuneanu, Andrei; Sørensen, Erik S.
Nature Communications, Vol. 10, Issue 1
DOI: 10.1038/s41467-019-10405-8

Flux Phase of the Half-Filled Band
journal, October 1994

Lieb, Elliott H.
Physical Review Letters, Vol. 73, Issue 16
DOI: 10.1103/PhysRevLett.73.2158

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

Long-range magnetic ordering in Na $_{2}$ IrO $_{3}$
journal, June 2011

Liu, X.; Berlijn, T.; Yin, W. -G.
Physical Review B, Vol. 83, Issue 22
DOI: 10.1103/PhysRevB.83.220403

Thermal fractionalization of quantum spins in a Kitaev model: Temperature-linear specific heat and coherent transport of Majorana fermions
journal, September 2015

Nasu, Joji; Udagawa, Masafumi; Motome, Yukitoshi
Physical Review B, Vol. 92, Issue 11
DOI: 10.1103/PhysRevB.92.115122

Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals
journal, December 2016

Janssen, Lukas; Andrade, Eric C.; Vojta, Matthias
Physical Review Letters, Vol. 117, Issue 27
DOI: 10.1103/PhysRevLett.117.277202

Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline $α − {RuCl}_{3}$
journal, March 2017

Ran, Kejing; Wang, Jinghui; Wang, Wei
Physical Review Letters, Vol. 118, Issue 10
DOI: 10.1103/PhysRevLett.118.107203

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Title: Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice

Citation Formats

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Flux Phase of the Half-Filled Band journal, October 1994

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

Long-range magnetic ordering in Na 2 IrO 3 journal, June 2011

Thermal fractionalization of quantum spins in a Kitaev model: Temperature-linear specific heat and coherent transport of Majorana fermions journal, September 2015

Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals journal, December 2016

Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline α − RuCl 3 journal, March 2017

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

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

Finite-temperature phase diagram of the Heisenberg-Kitaev model
journal, September 2011

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

Excitations in the field-induced quantum spin liquid state of α-RuCl3
journal, February 2018

Phase diagram of $α - {RuCl}_{3}$ in an in-plane magnetic field
journal, May 2017

Quantum spin liquids: a review
journal, November 2016

${Na}_{2} {IrO}_{3}$ as a Novel Relativistic Mott Insulator with a 340-meV Gap
journal, December 2012

Frustration and chiral orderings in correlated electron systems
journal, July 2016

A relation between the temperature exponents of the eight-vertex and q-state Potts model
journal, October 1979

Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model
journal, July 2014

Phase Diagram and Quantum Order by Disorder in the Kitaev $K_{1} - K_{2}$ Honeycomb Magnet
journal, December 2015

Models and materials for generalized Kitaev magnetism
journal, November 2017

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

Low-Energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
journal, July 2016

Resonant Inelastic X-Ray Scattering Response of the Kitaev Honeycomb Model
journal, September 2016

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

Anisotropic ${Ru}^{3 +} 4 d^{5}$ magnetism in the $α - {RuCl}_{3}$ honeycomb system: Susceptibility, specific heat, and zero-field NMR
journal, May 2015

Scattering Continuum and Possible Fractionalized Excitations in $α − {RuCl}_{3}$
journal, April 2015

From a Quasimolecular Band Insulator to a Relativistic Mott Insulator in $t_{2 g}^{5}$ Systems with a Honeycomb Lattice Structure
journal, October 2016

Vaporization of Kitaev Spin Liquids
journal, November 2014

A spin–orbital-entangled quantum liquid on a honeycomb lattice
journal, February 2018

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

Unveiling magnetic interactions of ruthenium trichloride via constraining direction of orbital moments: Potential routes to realize a quantum spin liquid
journal, August 2017

Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α-RuCl3
journal, November 2016

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

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

Possible proximity of the Mott insulating iridate Na $_{2}$ IrO $_{3}$ to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
journal, June 2011

First-Principles Study of the Honeycomb-Lattice Iridates ${Na}_{2} {IrO}_{3}$ in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
journal, September 2014

Coulombic Quantum Liquids in Spin- $1 / 2$ Pyrochlores
journal, January 2012

Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
journal, April 2016

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

Spin liquids in frustrated magnets
journal, March 2010

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

Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
journal, March 2016

$Z_{2}$ spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice
journal, July 2011

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

Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections
journal, March 2018

Doping a spin-orbit Mott insulator: Topological superconductivity from the Kitaev-Heisenberg model and possible application to (Na $_{2}$ /Li $_{2}$ )IrO $_{3}$
journal, August 2012

Neutron scattering in the proximate quantum spin liquid α-RuCl ₃
journal, June 2017

Unusual Phonon Heat Transport in $α − {RuCl}_{3}$ : Strong Spin-Phonon Scattering and Field-Induced Spin Gap
journal, March 2018

Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
journal, June 2014

Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
journal, July 2018

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

Majorana fermions in the Kitaev quantum spin system α-RuCl3
journal, September 2017

Kitaev magnetism in honeycomb ${RuCl}_{3}$ with intermediate spin-orbit coupling
journal, June 2015

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

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

Probing Spinon Nodal Structures in Three-Dimensional Kitaev Spin Liquids
journal, August 2017

Dynamics of fractionalization in quantum spin liquids
journal, September 2015

Spin-orbit excitations and electronic structure of the putative Kitaev magnet $α - {RuCl}_{3}$
journal, February 2016

Theory of the field-revealed Kitaev spin liquid
journal, June 2019

Flux Phase of the Half-Filled Band
journal, October 1994

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

Long-range magnetic ordering in Na $_{2}$ IrO $_{3}$
journal, June 2011

Thermal fractionalization of quantum spins in a Kitaev model: Temperature-linear specific heat and coherent transport of Majorana fermions
journal, September 2015

Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals
journal, December 2016

Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline $α − {RuCl}_{3}$
journal, March 2017