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In the context of recent experimental observations of an unexpectedly largethermal Hall conductivity, $\kappa_H$, in insulating $\mathrm{La_2CuO_4}$ (LCO)and $\mathrm{SrTiO_3}$ (STO), we theoretically explore conditions under whichacoustic phonons can give rise to such a large $\kappa_H$. Both the intrinsicand extrinsic contributions to $\kappa_H$ are large in proportion to thedielectric constant, $\epsilon$, and the flexoelectric coupling, $F$. While theintrinsic contribution is still orders of magnitude smaller than the observedeffect, an extrinsic contribution proportional to the phonon mean free pathappears likely to account for the observations, at least in STO. We predict alarger intrinsic $\kappa_H$ in certain insulating perovskites.

Enhanced thermal Hall effect in nearly ferroelectric insulators