Magnus Nernst and thermal Hall effect

Abstract

Motivated by the recent prediction of the Magnus Hall effect in systems with broken inversion symmetry, in this paper we study the Magnus Nernst effect and the Magnus thermal Hall effect. In the presence of an inbuilt electric field, the wave packets of electrons with finite Berry curvature generate a Magnus velocity perpendicular to both the inbuilt electric field and the Berry curvature. This anomalous Magnus velocity gives rise to the Magnus Hall transport, which manifests in all four electrothermal transport coefficients. In this paper we demonstrate the existence of the Magnus Nernst and Magnus thermal Hall effect in monolayer ${\mathrm{WTe}}_{2}$ and gapped bilayer graphene using the semiclassical Boltzmann formalism. We show that the Magnus velocity can also give rise to the Magnus valley Hall effect in gapped graphene. Magnus velocity can be useful for experimentally probing the Berry curvature and designing novel electrical and electrothermal devices.