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Proposed effective Hamiltonians from the literature for the material $\alpha$-RuCl${}_3$ are used to compute the magnon thermal Hall conductivity, $\kappa_{xy}$, using linear spin wave theory for the magnetically ordered state. No model…

Strongly Correlated Electrons · Physics 2022-03-30 Tessa Cookmeyer , Joel E. Moore

We report on the unusual behavior of the in-plane thermal conductivity ($\kappa$) and torque ($\tau$) response in the Kitaev-Heisenberg material $\alpha$-RuCl$_3$. $\kappa$ shows a striking enhancement with linear growth beyond H = 7 T,…

Strongly Correlated Electrons · Physics 2017-05-10 Ian A. Leahy , Christopher A. Pocs , Peter E. Siegfried , David Graf , S. -H. Do , Kwang-Yong Choi , B. Normand , Minhyea Lee

We report detailed measurements of the Onsager-like planar thermal Hall conductivity $\kappa_{xy}$ in $\alpha$-RuCl$_3$, a spin-liquid candidate of topical interest. With the thermal current ${\bf J}_{\rm Q}$ and magnetic field $\bf…

Thermal transport has been used to probe the nature of $\alpha$-RuCl$_3$, an important candidate of Kitaev material. Two remarkable observations were made under applied magnetic fields at low temperatures, and have stimulated extensive…

Strongly Correlated Electrons · Physics 2026-03-17 Zheng-Duo Fan , Xiao-Qi Sun , Jing-Yuan Chen

Kitaev materials are a promising platform for the realization of quantum spin liquid states. The thermal Hall effect has emerged as a potential probe of exotic excitations within such states. In the Kitaev candidate material…

Strongly Correlated Electrons · Physics 2024-07-15 Lu Chen , Étienne Lefrançois , Ashvini Vallipuram , Quentin Barthélemy , Amirreza Ataei , Wailing Yao , Yuan Li , Louis Taillefer

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

The Kitaev model, which involves bond-direction-dependent spin interactions on a honeycomb lattice, has attracted significant interest due to its exact solvability and potential uses in quantum computing. A key feature of this model is the…

Strongly Correlated Electrons · Physics 2025-08-12 Taekoo Oh , Naoto Nagaosa

Recent thermal-transport experiments on the Kitaev magnet $\alpha$-RuCl$_3$ highlight the challenge in identifying chiral quantum spin liquids through their quantized thermal Hall effect. Here, we propose that variations in the underlying…

Strongly Correlated Electrons · Physics 2025-05-08 Gábor B. Halász

The layered honeycomb magnet $\alpha$-RuCl$_3$ has been suggested to exhibit a field-induced quantum spin liquid state, in which the reported large thermal Hall effect close to the half-quantized value still remains a subject of debate.…

Strongly Correlated Electrons · Physics 2024-06-12 J. A. N. Bruin , R. R. Claus , Y. Matsumoto , J. Nuss , S. Laha , B. V. Lotsch , N. Kurita , H. Tanaka , H. Takagi

We consider the effect of coupling between phonons and a chiral Majorana edge in a gapped chiral spin liquid with Ising anyons (e.g., Kitaev's non-Abelian spin liquid on the honeycomb lattice). This is especially important in the regime in…

Strongly Correlated Electrons · Physics 2018-10-10 Mengxing Ye , Gábor B. Halász , Lucile Savary , Leon Balents

Honeycomb lattice Kitaev magnets exhibit exotic magnetic properties governed by the Kitaev interaction. This study delves into $\alpha$-RuCl$_3$, a prototypical example described by effective Hamiltonians encompassing bond-dependent Kitaev…

Strongly Correlated Electrons · Physics 2025-05-29 Hamid Mosadeq , Mohammad-Hossein Zare

Motivated by the recent experimental observation of the half-quantized thermal Hall conductivity for the candidate material of the Kitaev spin liquid, $\alpha$-RuCl$_3$[ Y. Kasahara et al., Nature 559, 227 (2018)], we investigate effects of…

Strongly Correlated Electrons · Physics 2019-06-12 Daichi Takikawa , Satoshi Fujimoto

A weak superconducting proximity effect in the vicinity of the topological transition of a quantum anomalous Hall system has been proposed as a venue to realize a topological superconductor (TSC) with chiral Majorana edge modes (CMEMs). A…

Superconductivity · Physics 2018-03-16 Yingyi Huang , F. Setiawan , Jay D. Sau

Recently, there have been increasingly hot debates on whether there exists a quantum spin liquid in the Kitaev honeycomb magnet $\alpha$-RuCl$_3$ in high magnetic field. To investigate this issue, we perform the ultralow-temperature thermal…

Strongly Correlated Electrons · Physics 2018-02-14 Y. J. Yu , Y. Xu , K. J. Ran , J. M. Ni , Y. Y. Huang , J. H. Wang , J. S. Wen , S. Y. Li

Thermodynamics of the Kitaev honeycomb magnet $\alpha$-RuCl$_3$ is studied for different directions of in-plane magnetic field using measurements of the magnetic Gr\"uneisen parameter $\Gamma_B$ and specific heat $C$. We identify two…

Strongly Correlated Electrons · Physics 2021-03-03 S. Bachus , D. A. S. Kaib , A. Jesche , V. Tsurkan , A. Loidl , S. M. Winter , A. A. Tsirlin , R. Valentí , P. Gegenwart

The pure Kitaev honeycomb model harbors a quantum spin liquid in zero magnetic fields, while applying finite magnetic fields induces a topological spin liquid with non-Abelian anyonic excitations. This latter phase has been much sought…

Strongly Correlated Electrons · Physics 2020-03-31 Dirk Wulferding , Youngsu Choi , Seung-Hwan Do , Chan Hyeon Lee , Peter Lemmens , Clement Faugeras , Yann Gallais , Kwang-Yong Choi

We discuss thermal transport of two-dimensional topological superconductors (TSCs) with broken time reversal symmetry, which are described by Bogoliubov-de Gennes (BdG) Hamiltonians. From the calculations of bulk quantities only, without…

Mesoscale and Nanoscale Physics · Physics 2013-01-24 Hiroaki Sumiyoshi , Satoshi Fujimoto

We study the quantum anomalous thermal Hall effect in a topological superconductor which possesses an integer bulk topological number, and supports Majorana excitations on the surface. To realize the quantum thermal Hall effect, a finite…

Mesoscale and Nanoscale Physics · Physics 2015-06-01 Yosuke Shimizu , Ai Yamakage , Kentaro Nomura

We investigate thermal Hall conductivity $\kappa_{xy}$ of a $J$-$K$ Kitaev-Heisenberg model with a Zeeman field in the $(111)$ direction in the light of the recent debate surrounding the possible re-emergence of Ising topological order…

Strongly Correlated Electrons · Physics 2023-06-27 Aman Kumar , Vikram Tripathi

We investigate the thermal Hall effect in a Kitaev-Heisenberg system, a model for Kitaev candidate $\alpha$-RuCl$_3$, in the presence of the coupling between spin and phonon arising from chlorine atoms' vibration. We observe that the…

Strongly Correlated Electrons · Physics 2022-07-27 Shaozhi Li , Satoshi Okamoto