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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

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 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 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

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

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…

We have investigated the thermal Hall effect of magnons for various ferromagnetic insulators. For pyrochlore ferromagnetic insulators Lu$_2$V$_2$O$_7$, Ho$_2$V$_2$O$_7$, and In$_2$Mn$_2$O$_7$, finite thermal Hall conductivities have been…

Materials Science · Physics 2012-04-16 T. Ideue , Y. Onose , H. Katsura , Y. Shiomi , S. Ishiwata , 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

Motivated by recent transport measurements in high-$T_c$ cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the contribution from neutral spinons.…

Strongly Correlated Electrons · Physics 2019-04-24 Rhine Samajdar , Shubhayu Chatterjee , Subir Sachdev , Mathias S. Scheurer

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

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 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

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

Thermal fluctuation in magnets will bring temperature-dependent self-energy corrections to the magnons, however, their effects on the topological orders of magnons is not well explored. Here we demonstrate that such corrections can induce a…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Yun-Mei Li , Xi-Wang Luo , Kai Chang

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…

Altermagnetism has attracted considerable interest, yet its associated spintronic phenomena have so far been largely confined to electronic systems. In this work, we uncover a universal symmetry-based strategy for realizing topological…

Materials Science · Physics 2026-01-30 Bo Yuan , Yingxi Bai , Ying Dai , Baibiao Huang , Chengwang Niu

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

A recent observation of thermal Hall effect of magnetic origin in underdoped cuprates calls for critical re-examination of low-energy magnetic dynamics in undoped antiferromagnetic compound on square lattice, where traditional, renormalized…

Strongly Correlated Electrons · Physics 2019-06-03 Jung Hoon Han , Jin-Hong Park , Patrick A. Lee

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

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
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