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The observation of a misalignment between the applied heat flux and the measured temperature gradient in insulating solids induced by magnetic field has become a subject of experimental investigation, theoretical speculation, and unsettled…

Materials Science · Physics 2026-04-06 Yu Ling , Benoît Fauqué , Kamran Behnia

Using an exact nonequilibrium Green's function formulism, the phonon Hall effect for paramagnetic dielectrics is studied in a four-terminal device setting. The temperature difference in the transverse direction of the heat current is…

Mesoscale and Nanoscale Physics · Physics 2009-11-23 Lifa Zhang , Jian-Sheng Wang , Baowen Li

Quantum Anomalous Hall (QAH) state in six quintuple layer Cr$_{0.1}$(Bi$_{0.2}$Sb$_{0.8}$)$_{1.9}$Te$_3$ thin films were studied through scanning tunneling spectroscopy (STS) and electrical transport measurements. While the surface state is…

We study phonon Hall effect (PHE) for ionic crystals in the presence of static magnetic field. Using Green-Kubo formula, we present an exact calculation of thermal conductivity tensor by considering both positive and negative frequency…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Bijay K. Agarwalla , Lifa Zhang , Jian-Sheng Wang , Baowen Li

We report an investigation of the phonon thermal Hall effect in single crystal samples of Y$_2$Ti$_2$O$_7$, Dy$_2$Ti$_2$O$_7$, and DyYTi$_2$O$_7$. We measured the field-linear thermal Hall effect in all three samples. The temperature…

Materials Science · Physics 2024-10-11 Rohit Sharma , Martin Valldor , Thomas Lorenz

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 spin and orbital Hall effects convert longitudinal charge currents into transverse flows of electronic angular momentum. Here we develop an atomistic theory of the recently proposed lattice-vibrational analogue, in which a longitudinal…

Materials Science · Physics 2026-04-03 Daniel A. Bustamante Lopez , Verena Brehm , Dominik M. Juraschek

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

By analyzing the spin-group symmetry of magnons, we establish two generalized Onsager's relations in the magnon thermal Hall effect, which reveals the rich and complicated structures of the magnon Berry curvature in the parameter space of…

Mesoscale and Nanoscale Physics · Physics 2026-03-04 Jikun Zhou , Yang Gao , Qian Niu

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

The travel of heat in insulators is commonly pictured as a flow of phonons scattered along their individual trajectory. In rare circumstances, momentum-conserving collision events dominate, and thermal transport becomes hydrodynamic. One of…

The conjecture made recently by the group at Sherbrooke, that their observed anomalous thermal Hall effect in the pseudo-gap phase in the cuprates is due to phonons, is supported on the basis of an earlier result that the observed…

Strongly Correlated Electrons · Physics 2020-08-19 Chandra M. Varma

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 role of electron-phonon scattering in finite-temperature anomalous Hall effect is still poorly understood. In this work, we present a Boltzmann theory for the side-jump contribution from electron-phonon scattering, which is derived from…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Cong Xiao , Ying Liu , Ming Xie , Shengyuan A. Yang , Qian Niu

We develop an approximate theory of phonon-induced topological insulation in Dirac materials. In the weak coupling regime, long wavelength phonons may favor topological phases in Dirac insulators with direct and narrow bandgaps. This…

Strongly Correlated Electrons · Physics 2014-05-09 Kush Saha , Ion Garate

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…

In the study of the anomalous Hall effect, the scaling relations between the anomalous Hall and longitudinal resistivities play the central role. The scaling parameters by definition are fixed as the scaling variable (longitudinal…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Cong Xiao , Hailong Zhou , Qian Niu

It is now known that in addition to electrons, other quasi-particles such as phonons and magnons can also generate a thermal Hall signal. Graphite is a semimetal with extremely mobile charge carriers of both signs and a large lattice…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Qiaochao Xiang , Xiaokang Li , Xiaodong Guo , Zengwei Zhu , Kamran Behnia

We show that magnetic insulators with a collinear and compensated order can exhibit a thermal Hall effect even at zero magnetic field if they have altermagnetic symmetries. We predict a finite thermal Hall conductivity vector…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 Rhea Hoyer , Rodrigo Jaeschke-Ubiergo , Kyo-Hoon Ahn , Libor Šmejkal , Alexander Mook

Through the integration of the power spectral density, we obtain temperature profiles of both multi-segment harmonic and anharmonic systems, showing the presence of an anomalous negative temperature gradient inside the interfacial segment.…

Statistical Mechanics · Physics 2017-12-20 Yue Liu , Dahai He