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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

We study the nature of the debated thermal Hall effect in the candidate Kitaev material $\alpha$-RuCl$_3$. Without assuming the existence of a gapped spin liquid, we show that a realistic minimal spin model in the canted zigzag phase…

Strongly Correlated Electrons · Physics 2023-01-27 Shuyi Li , Han Yan , Andriy H. Nevidomskyy

Thermal transport is a crucial probe for studying excitations in insulators. In Mott insulators, the primary candidates for heat carriers are spins and phonons, and which dominates the thermal conductivity is a persistent issue. Typically,…

Strongly Correlated Electrons · Physics 2025-05-19 Taekoo Oh , Naoto Nagaosa

We study magnetic excitations and thermal Hall effect on the Kitaev-Heisenberg model under magnetic fields. By employing the spin-wave theory for the magnetic orders realized in this model, we examine the topological nature of the spin-wave…

Strongly Correlated Electrons · Physics 2024-07-10 Shinnosuke Koyama , Joji Nasu

A diversity of spin Hall effects in metallic systems is known to rely on Mott skew scattering. In this work its high-temperature counterpart, phonon skew scattering, which is expected to be of foremost experimental relevance, is…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Cosimo Gorini , Ulrich Eckern , Roberto Raimondi

We investigate thermal Hall transport in magnetic systems, using semiclassical spin dynamics simulations. Building on a linear response framework, we discuss the intricacies of computing the thermal Hall conductivity from real-time energy…

Strongly Correlated Electrons · Physics 2026-03-11 Ignacio Salgado-Linares , Alexander Mook , Léo Mangeolle , Johannes Knolle

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

The recent observation of a half-integer quantized thermal Hall effect in $\alpha$-RuCl$_3$ is interpreted as a unique signature of a chiral spin liquid with a Majorana edge mode. A similar quantized thermal Hall effect is expected in…

Strongly Correlated Electrons · Physics 2018-08-03 Yuval Vinkler-Aviv , Achim Rosch

Here we present a study of the phonon dynamics in the honeycomb Kitaev spin model at finite temperatures. We show that the fractionalized spin excitations of the Kitaev spin liquid, the itinerant Majorana fermions and static $Z_2$ fluxes,…

Strongly Correlated Electrons · Physics 2021-08-24 Kexin Feng , Mengxing Ye , Natalia B. Perkins

We have investigated the sample dependence of the half-integer thermal Hall effect in $\alpha$-RuCl$_3$ under a magnetic field tilted 45 degree from the $c$ axis to the $a$ axis. We find that the sample with the largest longitudinal thermal…

Strongly Correlated Electrons · Physics 2021-01-04 M. Yamashita , J. Gouchi , Y. Uwatoko , N. Kurita , H. Tanaka

Heat transport mediated by Majorana edge modes in a magnetic insulator leads to a half-integer thermal quantum Hall conductance, which has recently been reported for the two-dimensional honeycomb material $\alpha$-RuCl$_3$. While the…

Strongly Correlated Electrons · Physics 2021-08-02 T. Yokoi , S. Ma , Y. Kasahara , S. Kasahara , T. Shibauchi , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , C. Hickey , S. Trebst , Y. Matsuda

Magnetoelastic interaction couples spin and lattice degrees of freedom and plays a key role in thermal transport properties of magnetic insulators. In the Kitaev quantum spin liquid, the low energy excitations are charge neutral Majorana…

Strongly Correlated Electrons · Physics 2021-12-06 Haoxiang Li , A. Said , J. Q. Yan , D. M. Mandrus , H. N. Lee , S. Okamoto , Gábor B. Halász , H. Miao

Thermal transport acts as a powerful tool for studying the excitations and physical properties of insulators, where a charge gap suppresses electronic conduction. Recently, the thermal Hall effect has been observed across various materials,…

Mesoscale and Nanoscale Physics · Physics 2025-07-31 Taekoo Oh

In recent years, it has been shown that the phonon dynamics may serve as an indirect probe of fractionalization of spin degrees of freedom. Here we propose that the sound attenuation measurements allows for the characterization and…

Strongly Correlated Electrons · Physics 2026-02-27 Kexin Feng , Aysel Shiralieva , Natalia B. Perkins

The appearance of half-quantized thermal Hall conductivity in $\alpha$-RuCl$_3$ in the presence of in-plane magnetic fields has been taken as a strong evidence for Kitaev spin liquid. Apart from the quantization, the observed sign structure…

Strongly Correlated Electrons · Physics 2021-04-09 Li Ern Chern , Emily Z. Zhang , Yong Baek Kim

The thermal Hall effect, defined as a heat current response transversal to an applied temperature gradient, is a central experimental probe of exotic electrically insulating phases of matter. A key question is how the interplay between…

Strongly Correlated Electrons · Physics 2023-02-28 N. Li , R. R. Neumann , S. K. Guang , Q. Huang , J. Liu , K. Xia , X. Y. Yue , Y. Sun , Y. Y. Wang , Q. J. Li , Y. Jiang , J. Fang , Z. Jiang , X. Zhao , A. Mook , J. Henk , I. Mertig , H. D. Zhou , X. F. Sun

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

Using a two-dimensional square lattice Heisenberg model with a Rashba-type Dzyaloshinskii-Moriya interaction, we demonstrate that chiral spin fluctuations can give rise to a thermal Hall effect in the absence of any static spin texture or…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Caitlin Carnahan , Yinhan Zhang , Di Xiao

We investigate the thermal Hall conductivity in the Kitaev model with additional interactions under a magnetic field, employing a finite-temperature tensor network method benchmarked by a thermal pure quantum state technique. We find that…

Strongly Correlated Electrons · Physics 2025-09-03 Tsuyoshi Okubo , Joji Nasu , Takahiro Misawa , Yukitoshi Motome

There has been great interest in identifying a Kitaev quantum spin liquid state in frustrated magnets with bond-dependent interactions. In particular, the experimental report of a half-quantized thermal Hall conductivity in…

Strongly Correlated Electrons · Physics 2025-12-11 Emily Z. Zhang , Reja H. Wilke , Yong Baek Kim
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