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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

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

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

In the context of recent experimental observations of an unexpectedly large thermal Hall conductivity, $\kappa_H$, in insulating $\mathrm{La_2CuO_4}$ (LCO) and $\mathrm{SrTiO_3}$ (STO), we theoretically explore conditions under which…

Strongly Correlated Electrons · Physics 2020-07-24 Jing-Yuan Chen , Steven A. Kivelson , Xiao-Qi Sun

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

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

A surprising "planar" thermal Hall effect, whereby the field is parallel to the current, has recently been observed in a few magnetic insulators, and this has been attributed to exotic excitations such as Majorana fermions or chiral…

The room temperature thermal diffusivity of high T$_c$ materials is dominated by phonons. This allows the scattering of phonons by electrons to be discerned. We argue that the measured strength of this scattering suggests a converse…

Strongly Correlated Electrons · Physics 2021-07-27 Connie H. Mousatov , Sean A. Hartnoll

Motivated by recent experiments on the phonon contribution to the thermal Hall effect in the cuprates, we present an analysis of chiral phonon transport. We assume the chiral behavior arises from a non-zero phonon Hall vicosity, which is…

Strongly Correlated Electrons · Physics 2021-05-12 Haoyu Guo , Subir Sachdev

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

It has been known for decades that a magnetic field can deflect phonons as they flow in response to a thermal gradient, producing a thermal Hall effect. Several recent experiments have revealed ratios of the phonon Hall conductivity to the…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 B. Flebus , A. H. MacDonald

Because electrons and ions form a coupled system, it is a priori clear that the dynamics of the lattice should reflect symmetry breaking within the electronic degrees of freedom. This has been recently clearly evidenced for the case of…

Strongly Correlated Electrons · Physics 2023-03-03 Léo Mangeolle , Leon Balents , Lucile Savary

The magnetic-field (H) dependence of the thermal conductivity \kappa of Pr_{1.3}La_{0.7}CuO_4 is found to show a pronounced minimum for in-plane fields at low temperature, which is best attributed to the scattering of phonons by free spins…

Superconductivity · Physics 2009-11-11 X. F. Sun , I. Tsukada , T. Suzuki , Seiki Komiya , Yoichi Ando

We investigate the intrinsic thermal Hall conductivity contributed by optical phonons in a cubic system. The discrete rotational symmetry of the system splits the degeneracy of transverse modes across most regions of wave-vector space,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Xuesong Hu , Junren Shi

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

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,…

First principles-based predictions of lattice thermal conductivity (TC) from perturbation theory have achieved significant success. Usually, it only included three-phonon (3ph) scattering processes, only recently four-phonon (4ph)…

Materials Science · Physics 2025-03-25 H. F. Feng , B. Liu , Xin-Gao Gong , Zhi-Xin Guo

The underlying mechanism of the thermal Hall effect (THE) generated by phonons in a variety of insulators is yet to be identified. Here, we report on a sizeable thermal Hall conductivity in NiPS$_3$, a van der Waals stack of honeycomb…

Strongly Correlated Electrons · Physics 2024-10-02 Qingkai Meng , Xiaokang Li , Jie Liu , Lingxiao Zhao , Chao Dong , Zengwei Zhu , Liang Li , Kamran Behnia

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

Structural defects in one-dimensional heat conductors couple longitudinal (stretching) and transverse (bending) vibrations. This coupling results in the scattering of longitudinal phonons to transverse phonons and backwards. We show that…

Chemical Physics · Physics 2025-05-27 Alexander L. Burin
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