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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

Phonon polarization in a magnetic field is analyzed in 2D model. It is shown, that at presence of spin-phonon interaction phonon possess elliptic polarization which causes the appearance of heat flux component perpendicular both to…

Other Condensed Matter · Physics 2008-12-04 L. A. Maksimov , T. V. Khabarova

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

SrTiO$_3$, a quantum paralectric, displays a detectable phonon thermal Hall effect (THE). Here we show that the amplitude of THE is extremely sensitive to stoichiometry. It drastically decreases upon substitution of a tiny fraction of Sr…

Strongly Correlated Electrons · Physics 2022-10-12 Shan Jiang , Xiaokang Li , Benoît Fauqué , Kamran Behnia

Based upon spin-lattice interaction, we propose a theoretical model for the phonon Hall effect in paramagnetic dielectrics. The thermal Hall conductivity is calculated by using the Kubo formula. Our theory reproduces the essential…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Sheng , D. N. Sheng , C. S. Ting

We present a systematic theory of the phonon Hall effect in a ballistic crystal lattice system, and apply it on the kagome lattice which is ubiquitous in various real materials. By proposing a proper second quantization for the non-Hermite…

Materials Science · Physics 2011-07-15 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

In crystals with time-reversal symmetry but without inversion symmetry, the phonon angular momentum can be generated by the temperature gradient, and it is called phonon thermal Edelstein effect. On the other hand, when both symmetries are…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 Masato Hamada , Shuichi Murakami

We present computations of the thermal Hall coefficient of phonons scattering off a defect with multiple energy levels. Using a microscopic formulation based on the Kubo formula, we find that the leading contribution perturbative in the…

Strongly Correlated Electrons · Physics 2022-11-15 Haoyu Guo , Darshan G. Joshi , Subir Sachdev

The role of electron-phonon scattering in finite-temperature anomalous Hall effect is still poorly understood. In this work, we present a Boltzmann theory for the side-jump contribution from electron-phonon scattering, which is derived from…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Cong Xiao , Ying Liu , Ming Xie , Shengyuan A. Yang , Qian Niu

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

A thermal Hall effect is observed in an increasing number of insulators often attributed to phonons, but the underlying mechanism is in most cases unknown. A coupling of phonons to spins has been invoked and scattering of phonons by…

Strongly Correlated Electrons · Physics 2024-04-19 Amirreza Ataei , Gael Grissonnanche , Marie-Eve Boulanger , Lu Chen , Etienne Lefrancois , Veronique Brouet , Louis Taillefer

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

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

Electrons moving through a noncoplanar magnetic texture acquire a Berry phase, which can be described as an effective magnetic field. This effect is known as the topological Hall effect and has been observed in topological spin textures.…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Tan Dao , Sergey S. Pershoguba , Jiadong Zang

Recently, this long-sought quantum anomalous Hall effect was realized in the magnetic topological insulator. However, the requirement of an extremely low temperature (approximately 30 mK) hinders realistic applications. Based on…

Materials Science · Physics 2014-12-17 Shu-chun Wu , Guangcun Shan , Binghai Yan

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

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

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…

Motivated by recent experiments on the phonon contribution to the thermal Hall effect in the cuprates, we present an analysis of chiral phonon transport. We assume the chiral behavior arises from a non-zero phonon Hall vicosity, which is…

Strongly Correlated Electrons · Physics 2021-05-12 Haoyu Guo , Subir Sachdev

Despite the growing interest in phonon angular momentum (AM) in recent years, current studies remain limited to a few materials due to the constraints imposed by time reversal symmetry on macroscopic phonon AM. In this work, we…

Materials Science · Physics 2025-06-09 Hong Sun , Xiaozhe Li , Lifa Zhang