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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

In this paper, we present a simple model of a three-dimensional insulating magnetic structure which represents a magnonic analog of the layered electronic system described in [Phys. Rev. Lett. {\bf 107}, 127205 (2011)]. In particular, our…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Vladimir A. Zyuzin , Alexey A. Kovalev

It is well established that the anomalous Hall effect that a ferromagnet displays scales with its magnetization. Therefore, an antiferromagnet that has no net magnetization should exhibit no anomalous Hall effect. Here we show that the…

In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum materials, especially among the Mott insulating systems where the electronic…

Strongly Correlated Electrons · Physics 2024-06-19 Xiao-Tian Zhang , Yong Hao Gao , Gang Chen

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 demonstrate theoretically that the thermal Hall effect of magnons in collinear antiferromagnetic insulators is an indicator of magnetic and topological phase transitions in the magnon spectrum. The transversal heat current of magnons…

Strongly Correlated Electrons · Physics 2022-03-23 Robin R. Neumann , Alexander Mook , Jürgen Henk , Ingrid Mertig

We theoretically study the intrinsic thermal Hall and spin Nernst effect in collinear ferrimagnets on a honeycomb lattice with broken inversion symmetry. The broken inversion symmetry allows in-plane Dzyaloshinskii-Moriya interaction…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Sungjoon Park , Naoto Nagaosa , Bohm-Jung Yang

In light of recent experimental data indicating a substantial thermal Hall effect in square lattice antiferromagnetic Mott insulators, we investigate whether a simple Mott insulator can sustain a finite thermal Hall effect. We verify that…

Strongly Correlated Electrons · Physics 2025-06-26 Jixun K. Ding , Emily Z. Zhang , Wen O. Wang , Tessa Cookmeyer , Brian Moritz , Yong Baek Kim , Thomas P. Devereaux

While ferromagnets have been known and exploited for millennia, antiferromagnets (AFMs) were only discovered in the 1930s. The elusive nature indicates AFMs' unique properties: At large scale, due to the absence of global magnetization,…

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

Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the real-space Berry curvature in the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

We investigate the intrinsic anomalous thermal Hall effect in d-wave altermagnets, where a transverse heat current is generated by a longitudinal temperature gradient in the absence of a magnetic field, with the leading response…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Rishi G. Gopalakrishnan , Srimayi Korrapati , Sumanta Tewari

The recent discoveries of surperisingly large anomalous Hall effect in chiral antiderromagnets have triggered extensive research efforts in various fields, ranging from topological condensed-matter physics to antiferromagnetic spintronics,…

Materials Science · Physics 2024-02-27 Linxuan Song , Feng Zhou , Hang Li , Bei Ding , Xue Li , Xuekui Xi , Yuan Yao , Yong-Chang Lau , Wenhong Wang

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…

The efficient detection of the magnetism in 2D antiferromagnetic (AFM) insulators is crucial for the advancement of 2D AFM spintronics and remains a challenging problem. In this letter, we introduce the magnon nonlinear Hall current, a…

Mesoscale and Nanoscale Physics · Physics 2025-05-27 Jinyang Ni , Yuanjun Jin , Guoqing Chang

We present a theory of magnonic thermal Hall transport driven by many-body skew scattering. In field-polarized chiral magnets, the Dzyaloshinskii-Moriya interaction induces three-magnon interactions that violate time-reversal symmetry and…

Strongly Correlated Electrons · Physics 2025-07-22 Dimos Chatzichrysafis , Alexander Mook

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…

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…

In this paper, we study the intrinsic contribution of nonlinear magnon thermal Hall Effect. We derive the intrinsic second order thermal Hall conductivity of magnon by the thermal scalar potential (TSP) method and the thermal vector…

Mesoscale and Nanoscale Physics · Physics 2024-07-10 Jun-Cen Li , Zhen-Gang Zhu

$\mathrm{MnBi_2Te_4}$ has recently been established as an intrinsic antiferromagnetic (AFM) topological insulator and predicted to be an ideal platform to realize quantum anomalous Hall (QAH) insulator and axion insulator states. We…