Quantum kinetic equation approach to thermal Hall conductivity with disorder
| When |
Oct 06, 2025
from 02:00 to 03:00 |
|---|---|
| Where | Salle M7.101 |
| Contact Name | Peter Holdsworth |
| Attendees |
Leo Mangeolle |
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lundi 6 octobre
Title: Quantum kinetic equation approach to thermal Hall conductivity with disorder
Leo Mangeolle (Technical University of Munich)
Abstract: I will present a systematic derivation of the semi-classical kinetic equation for neutral bosons from their quantum kinetic equation. It incorporates the semi-classical topological dynamics of wavepackets in the form of geometric properties of the energy eigenstates, such as the Berry connections and curvatures, generalized to phase space. This 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. If time permits, I will discuss applications to transport problems in highly frustrated magnetic phases.