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The nonlinear Hall effect is a new type of Hall effect that has recently attracted significant attention. For the physical origin of the nonlinear Hall effect, while orbital magnetization has long been hypothesized to underpin the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Zesheng Zhang , Xin-Zhi Li , Wen-Yu He

The notion that phonons can carry pseudo-angular momentum has become popular in the last decade, with recent research efforts highlighting phonon chirality, Berry curvature of phonon band structure, and the phonon Hall effect. When a phonon…

The conjecture made recently by the group at Sherbrooke, that their observed anomalous thermal Hall effect in the pseudo-gap phase in the cuprates is due to phonons, is supported on the basis of an earlier result that the observed…

Strongly Correlated Electrons · Physics 2020-08-19 Chandra M. Varma

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

Topological insulators have attracted abundant attention for a variety of reasons -- notably, the possibility for lossless energy transport through edge states `protected' against disorder. Topological effects like the Quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Momchil Minkov , Vincenzo Savona

When time-reversal symmetry is broken, the low-energy description of acoustic lattice dynamics allows for a dissipationless component of the viscosity tensor, the phonon Hall viscosity, which captures how phonon chirality grows with the…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 B. Flebus , A. H. MacDonald

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

We present an analysis of the orbital Hall effect (OHE) in a strip geometry and derive a formula for the orbital angular momentum (OAM) accumulation at the edges. The result is expressed in terms of band structure parameters and scattering…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Egor I. Kiselev , Benoît Douçot , Roderich Moessner

It has become common knowledge that phonons can generate thermal Hall effect in a wide variety of materials, although the underlying mechanism is still controversial. We study longitudinal $\kappa_{xx}$ and transverse $\kappa_{xy}$ thermal…

Strongly Correlated Electrons · Physics 2022-08-09 Taiki Uehara , Takumi Ohtsuki , Masafumi Udagawa , Satoru Nakatsuji , Yo Machida

We establish a general propagation model to describe the spin Hall effect of light beam in left-handed materials (LHMs). A spin-dependent shift of the beam centroid perpendicular to the refractive index gradient for the light beam through…

The well-known Hall effect describes the transverse deflection of charged particles (electrons or holes) in an electric-current carrying conductor under the influence of perpendicular magnetic fields, as a result of the Lorentz force.…

Starting from the Kubo formula, we expand the Hall conductivity using a cumulant approach which converges quickly at high temperatures (k_BT > energy differences of initial and final scattering states) and can be extended to low…

Other Condensed Matter · Physics 2013-10-18 Louis-François Arsenault , B. Movaghar

We develop a microscopic theory of spin-lattice interactions in magnetic insulators, separating rigid-body rotations and the internal angular momentum, or spin, of the phonons, while conserving the total angular momentum. In the low-energy…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Andreas Rückriegel , Simon Streib , Gerrit E. W. Bauer , Rembert A. Duine

The orbital Hall effect (OHE) designates the generation of a charge-neutral flow of orbital angular momentum transverse to an initial charge current. Recent theoretical investigations suggest that transition metals display sizable OHE,…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Armando Pezo , Diego Garcia Ovalle , Aurelien Manchon

Physical arguments are presented to show that the Hall anomaly is an effect of the vortex many-body correlation rather than that of an individual vortex. Quantitatively, the characteristic energy scale in the problem, the vortex vacancy…

Condensed Matter · Physics 2009-10-30 P. Ao

Nonlinear Hall effects have been previously investigated in non-centrosymmetric systems for electronic systems. However, they only exist in metallic systems and are not compatible with ferroelectrics since these latter are insulators, hence…

Materials Science · Physics 2023-06-28 W. Luo , J. Y. Ji , P. Chen , Y. Xu , L. F. Zhang , H. J. Xiang , L. Bellaiche

We show that acoustic crystalline wave gives rise to an effect similar to that of a gravitational wave to an electron gas. Applying this idea to a two-dimensional electron gas in the fractional quantum Hall regime, this allows for…

Strongly Correlated Electrons · Physics 2016-04-19 Kun Yang

In this paper, we present the theoretical predication of a thermospin Hall effect, in which a transverse spin current can be generated in semiconductors in the presence of spin-orbit coupling by a frequency-dependent longitudinal…

Mesoscale and Nanoscale Physics · Physics 2008-02-05 Zhongshui Ma

We apply a recently developed first-principles based approach for treating generic spin-phonon couplings in materials with strong spin-orbit coupling to study $\alpha$-RuCl$_3$. Of particular focus is the potential for this material to…

Strongly Correlated Electrons · Physics 2026-05-12 Ramesh Dhakal , David A. S. Kaib , Kate Choi , Sananda Biswas , Roser Valenti , Stephen M. Winter

We investigate the orbital Hall effect through a mesoscopic device with momentum-space orbital texture that is connected to four semi-infinite terminals embedded in the Landauer-B\"uttiker configuration for quantum transport. We present…

Mesoscale and Nanoscale Physics · Physics 2023-12-07 Diego B. Fonseca , Lucas L. A. Pereira , Anderson L. R. Barbosa