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We present theoretically the thermal Hall effect of magnons in a ferromagnetic lattice with a Kekul\'e-O coupling (KOC) modulation and a Dzyaloshinskii-Moriya interaction (DMI). Through a strain-based mechanism for inducing the KOC…

Mesoscale and Nanoscale Physics · Physics 2020-02-21 Christian Moulsdale , Pierre A. Pantaleón , Ramon Carrillo-Bastos , Yang Xian

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…

In this paper we theoretically discuss thermal Hall effect of magnons in insulating N\'{e}el ordered antiferromagnets at zero external magnetic field. We show that for compensated N\'{e}el order the non-zero thermal Hall effect will occur…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Vladimir A. Zyuzin

Magnon thermal Hall effect in insulating magnets is the manifestation of Berry curvature in magnon bands, which is formulated using the emergent gauge fields that act on magnons as a fictitious magnetic field. In ferromagnets, it is…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Masataka Kawano , Chisa Hotta

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

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

Recently, uncovering the sources of thermal Hall effect in insulators has become an important issue. In the case of ferromagnetic insulators, it is well known that Dzyaloshinskii-Moriya (DM) interaction can induce magnon thermal Hall…

Strongly Correlated Electrons · Physics 2021-01-04 Sungjoon Park , Bohm-Jung Yang

We theoretically study the thermal Hall effect by magnons in skyrmion crystal phases of ferrimagnets in the vicinity of the angular momentum compensation point (CP). To this end, we start by deriving the equation of motion for magnons in…

Mesoscale and Nanoscale Physics · Physics 2019-02-08 Se Kwon Kim , Kouki Nakata , Daniel Loss , Yaroslav Tserkovnyak

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 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

We show that the two dimensional spatial inversion-symmetry (SIS) broken square lattice antiferromagnet with easy-plane spin anisotropy exhibits a thermal Hall effect and the edge modes characterized by the Z 2 topological invariant. These…

Materials Science · Physics 2019-02-22 Masataka Kawano , Chisa Hotta

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

Quite recently, magnon Hall effect of spin excitations has been observed experimentally on the kagome and pyrochlore lattices. Thermal Hall conductivity $\kappa^{xy}$, changes sign as a function of magnetic field or temperature on the…

Strongly Correlated Electrons · Physics 2016-07-26 S. A. Owerre

Topological transports of fermions are governed by the Chern numbers of the energy bands lying below the Fermi energy. For bosons, e.g. phonons and magnons in a crystal, topological transport is dominated by the Chern number of the lowest…

We present a quantum Hall effect of magnons in two-dimensional clean insulating magnets at finite temperature. Through the Aharonov-Casher effect, a magnon moving in an electric field acquires a geometric phase and forms Landau levels in an…

Mesoscale and Nanoscale Physics · Physics 2017-03-24 Kouki Nakata , Jelena Klinovaja , Daniel Loss

We theoretically study magnetic and topological properties of antiferromagnetic kagome spin systems in the presence of both in- and out-of-plane Dzyaloshinskii-Moriya interactions. In materials such as the iron jarosites, the in-plane…

Strongly Correlated Electrons · Physics 2018-09-19 Pontus Laurell , Gregory A. Fiete

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…

By revealing an underlying relation between the Dzyaloshinskii-Moriya interaction (DMI) and the scalar spin chirality, we develop the theory of magnon thermal Hall effects in antiferromagnetic systems. The dynamic fluctuation of the scalar…

Strongly Correlated Electrons · Physics 2019-02-26 Yalei Lu , Xing Guo , Vladimir Koval , Chenglong Jia

We propose a theory for thermal Hall transport mediated by magnons to address the impact of their damping resulting from magnon-magnon interactions in insulating magnets. This phenomenon is anticipated to be particularly significant in…

Strongly Correlated Electrons · Physics 2024-07-10 Shinnosuke Koyama , Joji Nasu
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