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The Hall effect usually occurs when the Lorentz force acts on a charge current in a conductor in the presence of perpendicular magnetic field. On the other hand, neutral quasi-particles such as phonons and spins can carry heat current and…

Materials Science · Physics 2010-08-12 Y. Onose , T. Ideue , H. Katsura , Y. Shiomi , N. Nagaosa , Y. Tokura

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 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 a growing number of materials, phonons have been found to generate a thermal Hall effect, but the underlying mechanism remains unclear. Inspired by previous studies that revealed the importance of Tb$^{3+}$ ions in generating the thermal…

From a systematic study of thermal and charge transport in various single crystals of compensated topological insulators we identify the evolution of a large low-temperature thermal Hall effect as a characteristic common feature. In order…

Strongly Correlated Electrons · Physics 2024-03-14 Rohit Sharma , Mahasweta Bagchi , Yongjian Wang , Yoichi Ando , Thomas Lorenz

The thermal Hall effect in magnetic insulators has been considered a powerful method for examining the topological nature of charge-neutral quasiparticles such as magnons. Yet, unlike the kagome system, the triangular lattice has received…

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

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

Fourier's law dictates that heat flow is usually parallel to the applied temperature gradient. However, under a high magnetic field, heat flow carried by both electrons in conductors and phonons in insulators can be deflected, a phenomenon…

Strongly Correlated Electrons · Physics 2026-05-28 Zhe Cui , Haoran Fan , Wenjiang Zhou , Xianghong Jin , Yuchen Gu , Da Ma , Cong Xiao , Hua Jiang , Xincheng Xie , Bai Song , Yuan Li , Xi Lin

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

In this letter, we report the gigantic thermal Hall effect $\kappa_{xy}$ in the low-field correlated-paramagnetic state of the frustrated pyrochlore Yb$_2$Ti$_2$O$_7$. We observed a record magnitude for the thermal Hall angle in an…

Strongly Correlated Electrons · Physics 2019-07-30 Max Hirschberger , Peter Czajka , S. M. Koohpayeh , Wudi Wang , N. Phuan Ong

The origin of phonon thermal Hall Effect (THE) observed in a variety of insulators is yet to be identified. Here, we report on the observation of a thermal Hall conductivity in a non-magnetic elemental insulator, with an amplitude exceeding…

Strongly Correlated Electrons · Physics 2023-03-16 Xiaokang Li , Yo Machida , Alaska Subedi , Zengwei Zhu , Liang Li , Kamran Behnia

Thermal Hall effect (THE) in insulator is a remarkable phenomenon that arises from the motion of chargeless quasi-particles under a magnetic field. While magnons or exotic spin excitations were considered as the origin of THE in some…

Strongly Correlated Electrons · Physics 2024-05-03 Xiaobo Jin , Xu Zhang , Wenbo Wan , Hanru Wang , Yihan Jiao , Shiyan Li

The nature of the pseudogap phase of cuprates remains a major puzzle. Although there are indications that this phase breaks various symmetries, there is no consensus on its fundamental nature. Although Fermi-surface, transport and…

At low temperatures, the thermal conductivity of spin excitations in a magnetic insulator can exceed that of phonons. However, because they are charge neutral, the spin waves are not expected to display a thermal Hall effect in a magnetic…

Strongly Correlated Electrons · Physics 2015-09-09 Max Hirschberger , Robin Chisnell , Young S. Lee , N. P. Ong

We show that the anomalous decrease in the thermal conductivity of cuprates below 300 mK, as has been observed recently in several cuprate materials including Pr$_{2-x}$Ce$_x$CuO$_{7-\delta}$ in the field-induced normal state, is due to the…

Superconductivity · Physics 2007-05-23 M. F. Smith , Johnpierre Paglione , M. B. Walker , Louis Taillefer

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

Majorana fermions as emergent excitations of the Kitaev quantum spin liquid ground state constitute a promising concept in fault tolerant quantum computation. Experimentally, the recently reported topological half-quantized thermal Hall…

Strongly Correlated Electrons · Physics 2023-11-27 Matthias Gillig , Xiaochen Hong , Christoph Wellm , Vladislav Kataev , Weiliang Yao , Yuan Li , Bernd Büchner , Christian Hess

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

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