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Based upon spin-lattice interaction, we propose a theoretical model for the phonon Hall effect in paramagnetic dielectrics. The thermal Hall conductivity is calculated by using the Kubo formula. Our theory reproduces the essential…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Sheng , D. N. Sheng , C. S. Ting

Phonons are known to generate a thermal Hall effect in certain insulators, including oxides with rare-earth impurities, quantum paraelectrics, multiferroic materials and cuprate Mott insulators. In each case, a special feature of the…

Strongly Correlated Electrons · Physics 2022-09-01 Lu Chen , Marie-Eve Boulanger , Zhi-Cheng Wang , Fazel Tafti , Louis Taillefer

We apply a recently developed first-principles based approach for treating generic spin-phonon couplings in materials with strong spin-orbit coupling to study $\alpha$-RuCl$_3$. Of particular focus is the potential for this material to…

Strongly Correlated Electrons · Physics 2026-05-12 Ramesh Dhakal , David A. S. Kaib , Kate Choi , Sananda Biswas , Roser Valenti , Stephen M. Winter

It has recently become clear that phonons generate a sizable thermal Hall effect in cuprates, whether they are undoped, electron-doped or hole-doped (inside the pseudogap phase). At higher doping, where cuprates are reasonably good metals,…

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

We present a theory of the thermal Hall effect in insulating quantum magnets, where the heat current is totally carried by charge-neutral objects such as magnons and spinons. Two distinct types of thermal Hall responses are identified. For…

Strongly Correlated Electrons · Physics 2010-07-29 Hosho Katsura , Naoto Nagaosa , Patrick A Lee

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

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 present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the…

Strongly Correlated Electrons · Physics 2022-11-15 Haoyu Guo , Darshan G. Joshi , Subir Sachdev

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

The origin of the phonon thermal Hall effect in insulators is a matter of ongoing debate. The large amplitude of the signal in an elemental non-magnetic solid, such as black phosphorus (BP), calls for a minimal mechanism not invoking the…

Strongly Correlated Electrons · Physics 2025-05-09 Xiaokang Li , Xiaodong Guo , Zengwei Zhu , Kamran Behnia

In a growing list of insulators, experiments find that magnetic field induces a misalignment between the heat flux and the thermal gradient vectors. This phenomenon, known as the phonon thermal Hall effect, implies energy flow without…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Kamran Behnia

We present the experimental observation of a drastically enhanced thermal Hall effect in the topological insulator material TlBi$_{0.15}$Sb$_{0.85}$Te$_2$. Although heat transport is dominated by phonons, moderate magnetic fields generate a…

Strongly Correlated Electrons · Physics 2026-02-06 Rohit Sharma , Yongjian Wang , Yoichi Ando , Achim Rosch , Thomas Lorenz

We propose a new mechanism for the thermal Hall effect in exchange spin-wave systems, which is induced by the magnon-phonon interaction. Using symmetry arguments, we first show that this effect is quite general, and exists whenever the…

Mesoscale and Nanoscale Physics · Physics 2019-10-17 Xiaoou Zhang , Yinhan Zhang , Satoshi Okamoto , Di Xiao

In this paper, we present the theoretical predication of a thermospin Hall effect, in which a transverse spin current can be generated in semiconductors in the presence of spin-orbit coupling by a frequency-dependent longitudinal…

Mesoscale and Nanoscale Physics · Physics 2008-02-05 Zhongshui Ma

The material $\alpha$-RuCl$_3$ has been the subject of intense scrutiny as a potential Kitaev quantum spin liquid, predicted to display Majorana fermions as low energy excitations. In practice, $\alpha$-RuCl$_3$ undergoes a transition to a…

It has become common knowledge that phonons can generate thermal Hall effect in a wide variety of materials, although the underlying mechanism is still controversial. We study longitudinal $\kappa_{xx}$ and transverse $\kappa_{xy}$ thermal…

Strongly Correlated Electrons · Physics 2022-08-09 Taiki Uehara , Takumi Ohtsuki , Masafumi Udagawa , Satoru Nakatsuji , Yo Machida

With an increasing number of experiments observing phonon thermal Hall effect in magnets, it is theoretically desired to have a minimal model for the phonon thermal Hall effect. In this work, we study a simple model of acoustic phonons and…

Strongly Correlated Electrons · Physics 2023-10-11 Haoyu Guo

The thermal Hall effect, which arises when heat flows transverse to an applied thermal gradient, has become an important observable in the study of quantum materials. Recent experiments found a large thermal Hall conductivity $\kappa_{xy}$…

Strongly Correlated Electrons · Physics 2023-02-06 Liuke Lyu , William Witczak-Krempa

The phonon Hall effect has been observed in the paramagnetic insulator, Tb3Gd5O12. A magnetic field applied perpendicularly to a heat current induces a temperature gradient that is perpendicular to both the field and the current. We show…

Mesoscale and Nanoscale Physics · Physics 2014-12-24 M. Mori , A. Spencer-Smith , O. P. Sushkov , S. Maekawa
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