Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica B Condensed Matter

Thermal properties of spin-S Kitaev-Heisenberg model on a honeycomb lattice

Takafumi J. Suzuki, Youhei Yamaji

Published Sep 29, 2017• 15 citations
Publisher
DOI
10.1016/j.physb.2017.09.105

Related papers

Low-lying excitations of the Kitaev-Heisenberg model on a honeycomb lattice

Sei-ichiro Suga

Bulletin of the American Physical Society•Mar 8, 2018•0 citations

Order by disorder in Kitaev-Heisenberg models on the honeycomb lattice

Natalia Borisovna Perkins, Yuriy Sizyuk, Samuel C. Ducatman +1 more

Bulletin of the American Physical Society•Mar 16, 2016•0 citations

Ground-state phase diagram of the extended Kitaev-Heisenberg model on a honeycomb lattice

Sei-ichiro Suga, Takafumi Suzuki, Takuto Yamada

Bulletin of the American Physical Society•Mar 4, 2019•0 citations

Zigzag order and phase competition in expanded Kitaev–Heisenberg model on honeycomb lattice

Xiaoyan Yao

Physics Letters A•Apr 6, 2015•2 citations

Ground state phase diagram of the Kitaev-Heisenberg model on a honeycomb-triangular lattice

Masanori Kishimoto, Katsuhiro Morita, Yukihiro Matsubayashi +3 more

The Kitaev-Heisenberg model defined on both honeycomb and triangular lattices has been studied intensively in recent years as a possible model to describe spin-orbital physics in iridium oxides. In the model, there are many phases characteristic for each lattice. However, there is no study of how the phases in the two lattices merge with each other when geometry changes from the honeycomb lattice to triangular lattice. We investigate the ground state of the Kitaev-Heisenberg model defined on the system connecting the honeycomb and triangular lattices, named a honeycomb-triangular lattice. We obtain a ground state phase diagram of this model with classical spins by using the Luttinger-Tisza method and classical Monte Carlo simulation. In addition to known phases in the honeycomb and triangular lattices, we find coexisting phases consisting of the known phases. From the exact diagonalization and density-matrix renormalization-group calculations for the model with quantum spins, we find phases similar to the classical results, implying a small effect of quantum fluctuation on the phase diagram.

arXiv:1804.06080•Physical review. B./Physical review. B•Aug 10, 2018•15 citations

One Proximate Kitaev Spin Liquid in the K − J − Γ Model on the Honeycomb Lattice

Jiucai Wang, Bruce Normand, Zheng-Xin Liu

In addition to the Kitaev (K) interaction, candidate Kitaev materials also possess Heisenberg (J) and off-diagonal symmetric (Γ) couplings. We investigate the quantum (S=1/2) K-J-Γ model on the honeycomb lattice by a variational Monte Carlo method. In addition to the "generic" Kitaev spin liquid (KSL), we find that there is just one proximate KSL (PKSL) phase, while the rest of the phase diagram contains different magnetically ordered states. The PKSL is a gapless Z_{2} state with 14 Majorana cones, which in contrast to the KSL has a gapless spin response. In a magnetic field applied normal to the honeycomb plane, it realizes two of Kitaev's gapped chiral spin-liquid phases, of which one is non-Abelian with Chern number ν=5 and the other is Abelian with ν=4. These two phases could be distinguished by their thermal Hall conductance.

arXiv:1903.10026•Physical Review Letters•Nov 5, 2019•83 citations
The Kitaev-Heisenberg model defined on both honeycomb and triangular lattices has been studied intensively in recent years as a possible model to describe spin-orbital physics in iridium oxides. In the model, there are many phases characteristic for each lattice. However, there is no study of how the phases in the two lattices merge with each other when geometry changes from the honeycomb lattice to triangular lattice. We investigate the ground state of the Kitaev-Heisenberg model defined on the system connecting the honeycomb and triangular lattices, named a honeycomb-triangular lattice. We obtain a ground state phase diagram of this model with classical spins by using the Luttinger-Tisza method and classical Monte Carlo simulation. In addition to known phases in the honeycomb and triangular lattices, we find coexisting phases consisting of the known phases. From the exact diagonalization and density-matrix renormalization-group calculations for the model with quantum spins, we find phases similar to the classical results, implying a small effect of quantum fluctuation on the phase diagram.
In addition to the Kitaev (K) interaction, candidate Kitaev materials also possess Heisenberg (J) and off-diagonal symmetric (Γ) couplings. We investigate the quantum (S=1/2) K-J-Γ model on the honeycomb lattice by a variational Monte Carlo method. In addition to the "generic" Kitaev spin liquid (KSL), we find that there is just one proximate KSL (PKSL) phase, while the rest of the phase diagram contains different magnetically ordered states. The PKSL is a gapless Z_{2} state with 14 Majorana cones, which in contrast to the KSL has a gapless spin response. In a magnetic field applied normal to the honeycomb plane, it realizes two of Kitaev's gapped chiral spin-liquid phases, of which one is non-Abelian with Chern number ν=5 and the other is Abelian with ν=4. These two phases could be distinguished by their thermal Hall conductance.