Enhanced Thermal Hall Effect in Nearly Ferroelectric Insulators

Abstract

In the context of recent experimental observations of an unexpectedly large thermal Hall conductivity, $κ_H$, in insulating $La_2CuO_4$ (LCO) and $SrTiO_3$ (STO), in this paper we theoretically explore conditions under which acoustic phonons can give rise to such a large $κ_H$. Both the intrinsic and extrinsic contributions to $κ_H$ are large in proportion to the dielectric constant, $ε$, and the “flexoelectric” coupling, $F$. While the intrinsic contribution is still orders of magnitude smaller than the observed effect, an extrinsic contribution proportional to the phonon mean-free path appears likely to account for the observations, at least in STO. We predict a larger intrinsic $κ_H$ in certain insulating perovskites.