Theory of Phonon Hall Effect in Paramagnetic Dielectrics

TL;DR

This paper presents a theoretical model explaining the phonon Hall effect in paramagnetic dielectrics, successfully reproducing experimental features such as sign, magnitude, and magnetic field dependence of thermal Hall conductivity.

Contribution

It introduces a spin-lattice interaction-based model for the phonon Hall effect that aligns with recent experimental observations.

Findings

Reproduces sign, magnitude, and linear magnetic field dependence of thermal Hall conductivity

Uses Kubo formula to calculate thermal Hall conductivity

Aligns with experimental data on ionic dielectric Tb₃Ga₅O₁₂

Abstract

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 experimental features of the phonon Hall effect discovered recently in ionic dielectric Tb$_3$Ga$_5$O$_{12}$, including the sign, magnitude and linear magnetic field dependence of the thermal Hall conductivity.