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We study the Kitaev-Heisenberg model with spin-1 local degree of freedom on a two-dimensional honeycomb lattice numerically by density matrix renormalization group method.
Alexei Kitaev, “Anyons in an exactly solved model and beyond,” Annals of Physics 321
2006
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2007
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2008
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G Jackeli and G Khaliullin, “Mott insulators in the strong spin-orbit coupling limit: from heisenberg to a quantum compass and kitaev models,” Physical review letters 102
2009
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Jiří Chaloupka, George Jackeli, and Giniyat Khaliullin, “Kitaev-heisenberg model on a honeycomb lattice: possible exotic phases in iridium oxides a 2 iro 3,” Physical review letters 105
2010
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Yogesh Singh and P Gegenwart, “Antiferromagnetic mott insulating state in single crystals of the honeycomb lattice material na 2 iro 3,” Physical Review B 82
2010
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Hong-Chen Jiang, Zheng-Cheng Gu, Xiao-Liang Qi, and Simon Trebst, “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,” Physical Review B 83
2011
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Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
2011
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SK Choi, R Coldea, AN Kolmogorov, T Lancaster, II Mazin, SJ Blundell, PG Radaelli, Yogesh Singh, P Gegenwart, KR Choi, et al. , “Spin waves and revised crystal structure of honeycomb iridate na 2 iro 3,” Physical review letters 108
2012
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Yogesh Singh, S Manni, J Reuther, T Berlijn, R Thomale, W Ku, S Trebst, and P Gegenwart, “Relevance of the heisenberg-kitaev model for the honeycomb lattice iridates a 2 iro 3,” Physical review letters 108
2012
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Jiří Chaloupka, George Jackeli, and Giniyat Khaliullin, “Zigzag magnetic order in the iridium oxide na 2 iro 3,” Physical review letters 110
2013
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Juan Osorio Iregui, Philippe Corboz, and Matthias Troyer, “Probing the stability of the spin-liquid phases in the kitaev-heisenberg model using tensor network algorithms,” Physical Review B 90
2014
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Eran Sela, Hong-Chen Jiang, Max H Gerlach, and Simon Trebst, “Order-by-disorder and spin-orbital liquids in a distorted heisenberg-kitaev model,” Physical Review B 90
2014
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KW Plumb, JP Clancy, LJ Sandilands, V Vijay Shankar, YF Hu, KS Burch, Hae-Young Kee, and Young-June Kim, “ α \alpha - rucl 3: A spin-orbit assisted mott insulator on a honeycomb lattice,” Physical Review B 90
2014
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Vamshi M Katukuri, Satoshi Nishimoto, Viktor Yushankhai, A Stoyanova, H Kandpal, Sungkyun Choi, R Coldea, Ioannis Rousochatzakis, Liviu Hozoi, and Jeroen Van Den Brink, “Kitaev interactions between j= 1/2 moments in honeycomb na2iro3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations,” New Journal of Physics 16
2014
Cited alongside, same era.
Jeffrey G Rau, Eric Kin-Ho Lee, and Hae-Young Kee, “Generic spin model for the honeycomb iridates beyond the kitaev limit,” Physical review letters 112
2014
Cited alongside, same era.
Sae Hwan Chun, Jong-Woo Kim, Jungho Kim, H Zheng, Constantinos C Stoumpos, CD Malliakas, JF Mitchell, Kavita Mehlawat, Yogesh Singh, Y Choi, et al. , “Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate na 2 iro 3,” Nature Physics 11
2015
Cited alongside, same era.
Jeffrey G Rau, Eric Kin-Ho Lee, and Hae-Young Kee, “Spin-orbit physics giving rise to novel phases in correlated systems: Iridates and related materials,” Annual Review of Condensed Matter Physics 7
Maria Hermanns, Itamar Kimchi, and Johannes Knolle, “Physics of the kitaev model: Fractionalization, dynamic correlations, and material connections,” Annual Review of Condensed Matter Physics 9
2018
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Zheng Zhu, Itamar Kimchi, DN Sheng, and Liang Fu, “Robust non-abelian spin liquid and a possible intermediate phase in the antiferromagnetic kitaev model with magnetic field,” Physical Review B 97
2018
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2018
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Matthias Gohlke, Roderich Moessner, and Frank Pollmann, “Dynamical and topological properties of the kitaev model in a [111] magnetic field,” Physical Review B 98
2018
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2016
Cited alongside, same era.
Lukas Janssen, Eric C Andrade, and Matthias Vojta, “Honeycomb-lattice heisenberg-kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals,” Physical review letters 117
2016
Cited alongside, same era.
A Banerjee, CA Bridges, J-Q Yan, AA Aczel, L Li, MB Stone, GE Granroth, MD Lumsden, Y Yiu, Johannes Knolle, et al. , “Proximate kitaev quantum spin liquid behaviour in a honeycomb magnet,” Nature materials 15
2016
Cited alongside, same era.
SC Williams, RD Johnson, Florian Freund, Sungkyun Choi, Anton Jesche, I Kimchi, S Manni, A Bombardi, P Manuel, Philipp Gegenwart, et al. , “Incommensurate counterrotating magnetic order stabilized by kitaev interactions in the layered honeycomb α \alpha - li 2 iro 3,” Physical Review B 93
2016
Cited alongside, same era.
Matthias Gohlke, Ruben Verresen, Roderich Moessner, and Frank Pollmann, “Dynamics of the kitaev-heisenberg model,” Physical review letters 119
2017
Cited alongside, same era.
Simon Trebst, “Kitaev materials,” arXiv preprint arXiv:1701.07056 (2017)
2017
Cited alongside, same era.
Arielle Little, Liang Wu, Paula Lampen-Kelley, Arnab Banerjee, Shreyas Patankar, Dylan Rees, CA Bridges, J-Q Yan, David Mandrus, SE Nagler, et al. , “Antiferromagnetic resonance and terahertz continuum in α \alpha - rucl 3,” Physical review letters 119
2017
Cited alongside, same era.
Zhe Wang, S Reschke, D Hüvonen, S-H Do, K-Y Choi, M Gensch, U Nagel, T Rõõm, and A Loidl, “Magnetic excitations and continuum of a possibly field-induced quantum spin liquid in α \alpha - rucl 3,” Physical review letters 119
2017
Cited alongside, same era.
Kejing Ran, Jinghui Wang, Wei Wang, Zhao-Yang Dong, Xiao Ren, Song Bao, Shichao Li, Zhen Ma, Yuan Gan, Youtian Zhang, et al. , “Spin-wave excitations evidencing the kitaev interaction in single crystalline α \alpha - rucl 3,” Physical review letters 118
2017
Cited alongside, same era.
PA McClarty, X-Y Dong, M Gohlke, JG Rau, F Pollmann, R Moessner, and K Penc, “Topological magnons in kitaev magnets at high fields,” Physical Review B 98
2018
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2018
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Shuang Liang, Ming-Hong Jiang, Wei Chen, Jian-Xin Li, and Qiang-Hua Wang, “Intermediate gapless phase and topological phase transition of the kitaev model in a uniform magnetic field,” Physical Review B 98
2018
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Y Kasahara, T Ohnishi, Y Mizukami, O Tanaka, Sixiao Ma, K Sugii, N Kurita, H Tanaka, J Nasu, Y Motome, et al. , “Majorana quantization and half-integer thermal quantum hall effect in a kitaev spin liquid,” Nature 559
2018
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Akihisa Koga, Hiroyuki Tomishige, and Joji Nasu, “Ground-state and thermodynamic properties of an s= 1 kitaev model,” Journal of the Physical Society of Japan 87
2018
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2018
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Yi-Fan Jiang, Thomas P. Devereaux, and Hong-Chen Jiang, “Field-induced quantum spin liquid in the kitaev-heisenberg model and its relation to α − rucl 3 \alpha\text{$-$}{\mathrm{rucl}}_{3} ,” Phys. Rev. B 100
2019
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Ciarán Hickey and Simon Trebst, “Emergence of a field-driven u (1) spin liquid in the kitaev honeycomb model,” Nature communications 10
2019
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P Peter Stavropoulos, D Pereira, and Hae-Young Kee, “Microscopic mechanism for a higher-spin kitaev model,” Physical review letters 123
2019
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