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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

Complexity of quantum phases of matter is often understood by the underlying gauge structures, as was recognized by the $\mathbb{Z}_2$ and U(1) gauge theory description of spin liquid in frustrated magnets. Anomalous Hall effect of…

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

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

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

Quasiparticle excitations in material solids often experience a fictitious gauge field, which can be a potential source of intriguing transport phenomena. Here, we show that low-energy excitations in insulating antiferromagnetic skyrmion…

Strongly Correlated Electrons · Physics 2025-08-12 Masataka Kawano

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

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

Thermal Hall transport has emerged as a powerful probe of neutral quasiparticles and associated gauge fields in insulating materials. Although the emergence of a thermal Hall effect is known to be sensitive to lattice geometry and gauge…

Strongly Correlated Electrons · Physics 2025-02-18 Masataka Kawano

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

Topology applied to condensed matter is an important area of research and technology, and topological magnetic excitations have recently become an active field of study. This paper presents a general discussion of magnon Hall transport in…

Strongly Correlated Electrons · Physics 2023-07-24 P. G. de Oliveira , A. S. T. Pires

Motivated by the fact that many bilayer quantum magnets occur in nature, we generalize the study of thermal Hall transports of spin excitations to bilayer magnetic systems. It is shown that bilayer magnetic systems can be coupled either…

Strongly Correlated Electrons · Physics 2016-09-07 S. A. Owerre

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

We study magnon-polaron hybrid states, mediated by Dzyaloshinskii-Moriya and magnetoelastic interactions, in a two-dimensional ferromagnetic insulator. The magnetic system consists of both in-plane and flexural acoustic and optical phonon…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Jostein N. Kløgetvedt , Alireza Qaiumzadeh

Non-collinear triangular antiferromagnets with a coplanar spin arrangement and vanishing net magnetic moment can exhibit a large anomalous Hall effect owing to their non-vanishing momentum space Berry curvature. Here we show the existence…

Strongly Correlated Electrons · Physics 2019-05-15 Pradeep K. Rout , P. V. Prakash Madduri , Subhendu K. Manna , Ajaya K. Nayak

We studied a two-band magnon insulating model whose geometry is that of a modified Lieb lattice in which one of the sites was removed. Anisotropic ferromagnetic exchange interactions exist between the three nearest neighbors, and the…

Materials Science · Physics 2023-02-14 P. G. de Oliveira , A. S. T. Pires

We predict that a temperature gradient can induce a magnon-mediated spin Hall response in an antiferromagnet with non-trivial magnon Berry curvature. We develop a linear response theory which gives a general condition for a Hall current to…

Mesoscale and Nanoscale Physics · Physics 2016-11-16 Vladimir A. Zyuzin , Alexey A. Kovalev

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

With spin-layer locking, the manipulation of spin degree of freedom via perpendicular electric field can be realized in a typical antiferromagnetically coupled bilayer. In analogy to the electric control of the anomalous layer Hall effect…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Yu-Hao Shen , Yiqun Liu , Min Luo

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
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