Electron-electron interaction corrections to the thermal conductivity in disordered conductors

TL;DR

This paper investigates how electron-electron interactions affect thermal conductivity in disordered conductors, revealing violations of the Wiedemann-Franz law across different dimensions and interaction channels.

Contribution

It provides a comprehensive diagrammatic analysis of interaction corrections to thermal conductivity, extending previous electrical conductivity studies to thermal transport in disordered systems.

Findings

Interaction corrections violate the Wiedemann-Franz law in all dimensions.

Results derived for both singlet and triplet interaction channels.

The study uses a diagrammatic many-body approach similar to established methods.

Abstract

We evaluate the electron-electron interaction corrections to the electronic thermal conductivity in a disordered conductor in the diffusive regime. We use a diagrammatic many-body method analogous to that of Altshuler and Aronov for the electrical conductivity. We derive results in one, two and three dimensions for both the singlet and triplet channels, and in all cases find that the Wiedemann-Franz law is violated.