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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

The thermal conductivity $\kappa$ of the Kondo insulator SmB$_6$ was measured at low temperature, down to 70 mK, in magnetic fields up to 15 T, on single crystals grown using both the floating-zone and the flux methods. The residual linear…

Spin Hall effect is the transverse flow of the electron spin in conductors under external electric field. Similarly, thermal gradient in magnetic insulators can drive a transverse flow of the spin angular momentum of magnons, which provides…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 Sungjoon Park , Bohm-Jung Yang

We have measured the thermal conductivity of the geometrically frustrated quasi-onedimensional spin system Cu$_3$Mo$_2$O$_9$ in magnetic fields. A contribution of the thermal conductivity due to spins has been observed in the thermal…

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

The planar Hall effect (PHE), previously observed in Weyl and Dirac semimetals due to the chiral anomaly, emerges with a different origin in topological insulators (TIs), where in-plane magnetic fields induce resistivity anisotropy. In…

Mesoscale and Nanoscale Physics · Physics 2025-04-16 Mohammad Shafiei , Milorad V. Milošević

The planar Hall effect (PHE), wherein a rotating magnetic field in the plane of a sample induces oscillating transverse voltage, has recently garnered attention in a wide range of topological metals and insulators. The observed twofold…

Mesoscale and Nanoscale Physics · Physics 2021-03-25 D. Huang , H. Nakamura , H. Takagi

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

The Hall effect, in which current flows perpendicular to an applied electrical bias, has played a prominent role in modern condensed matter physics over much of the subject's history. Appearing variously in classical, relativistic and…

Materials Science · Physics 2021-07-08 Libor Smejkal , Allan H. MacDonald , Jairo Sinova , Satoru Nakatsuji , Tomas Jungwirth

We investigate thermal Hall conductivity $\kappa_{xy}$ of a $J$-$K$ Kitaev-Heisenberg model with a Zeeman field in the $(111)$ direction in the light of the recent debate surrounding the possible re-emergence of Ising topological order…

Strongly Correlated Electrons · Physics 2023-06-27 Aman Kumar , Vikram Tripathi

In frustrated magnets the Dzyaloshinsky-Moriya interaction arising from spin-orbit coupling can induce a magnetic long-range order. Here, we report a theoretical prediction of thermal Hall effect in frustrated kagom\'e magnets such as…

Strongly Correlated Electrons · Physics 2017-01-23 S. A. Owerre

The layer Hall effect is an intriguing phenomenon observed in magnetic topological layered materials, where the Hall response arises from the opposite deflection of electrons on top and bottom layers. To realize layer Hall effect,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yulei Han , Yunpeng Guo , Zeyu Li , Zhenhua Qiao

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

The surface half-quantum Hall effect, a hallmark consequence of axion electrodynamics, can be induced by gapping out the surface states of topological insulators through surface magnetization, and has led to a variety of topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Abhinava Chatterjee , Chao-Xing Liu

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

The finite size effects of the thermal conductivity $\kappa$ have been studied in the phonon space. It is found that only a few phonon modes are selected to take part in the thermal transport when the size $L$ of the system is decreased.…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 Li Wan

We investigated the nature of the quasi-particle state in the vortex core by means of the flux-flow Hall effect measurements at 15.8 GHz. We measured the flux-flow Hall effect in cuprate superconductors, Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{y}$…

Superconductivity · Physics 2021-07-21 R. Ogawa , F. Nabeshima , T. Nishizaki , A. Maeda

We investigate the intrinsic thermal Hall conductivity contributed by optical phonons in a cubic system. The discrete rotational symmetry of the system splits the degeneracy of transverse modes across most regions of wave-vector space,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Xuesong Hu , Junren Shi

Thermal Hall conductivity originating from topological magnons is observed in the Kitaev candidate $\alpha$-RuCl$_3$ in broad intervals of temperature and in-plane magnetic field, raising questions on the role of the Majorana mode in heat…

Strongly Correlated Electrons · Physics 2023-02-01 Hae-Young Kee

Silicon's weak intrinsic spin-orbit coupling and centrosymmetric crystal structure are a critical bottleneck to the development of Si spintronics, because they lead to an insignificant spin-Hall effect (spin current generation) and inverse…

Mesoscale and Nanoscale Physics · Physics 2020-04-03 Paul C. Lou , Anand Katailiha , Ravindra G. Bhardwaj , Tonmoy Bhowmick , W. P. Beyermann , Roger K. Lake , Sandeep Kumar