Thermal Hall Effect in 2D model for paramagnetic dielectrics

TL;DR

This paper investigates how phonon polarization in a 2D model of paramagnetic dielectrics, influenced by spin-phonon interaction and magnetic fields, leads to a thermal Hall effect with heat flux perpendicular to both the temperature gradient and magnetic field.

Contribution

It introduces a 2D model demonstrating that spin-phonon interaction induces elliptic phonon polarization, resulting in a thermal Hall effect in paramagnetic dielectrics.

Findings

Phonons exhibit elliptic polarization under magnetic fields.

A heat flux component perpendicular to temperature gradient and magnetic field appears.

Spin-phonon interaction is key to the thermal Hall effect.

Abstract

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 temperature gradient and magnetic field.