Léo Mangeolle
I will present a systematic derivation of the semi-classical kinetic equation of neutral particles, which makes it possible to treat inhomogeneous systems, including boundaries, textures, etc., in a compact and natural manner, and to compute the associated observable quantities, such as energy and current densities, away from equilibrium. In particular, this provides a self-contained rigorous derivation of the intrinsic thermal Hall effect, avoiding subtleties associated with magnetization currents. I will then show how this formalism allows to efficiently include extrinsic effects, such as the coordinate shift contributions in the presence of disorder, generalized to any random distribution of local operators. Eventually, I will discuss applications to the thermal Hall conductivity in both ordered and disordered magnetic phases.