Electronic thermal conductivity of disordered metals

Abstract

We calculate the thermal conductivity of interacting electrons in disordered metals. In our analysis we point out that the interaction affects thermal transport through two distinct mechanims, associated with quantum interference corrections and energy exchange of the quasi particles with the electromagnetic environment, respectively. The latter is seen to lead to a violation of the Wiedemann-Franz law. Our theory predicts a strong enhancement of the Lorenz ratio $\kappa /\sigma T$ over the value which is predicted by the Wiedemann-Franz law, when the electrons encounter a large environmental impedance.

4 pages

References in corpus (8)

• Interaction corrections at intermediate temperatures: I. Longitudinal conductivity and kinetic equation
• Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and Pure d-wave BCS Superconductor
• Electron--electron Interactions in Disordered Metals: Keldysh Formalism
• Phase coherent transport in hybrid superconducting nanostructures
• Breakdown of Fermi-liquid theory in a cuprate superconductor
• Thermal Transport for Many Body Tight-Binding Models
• Coulomb Gap in the Density of States of Disordered Metals in Two Dimensions
• Quasiclassical theory of charge transport in disordered interacting electron systems

Cited by in corpus (22)

• Violation of the Wiedemann-Franz law in clean graphene layers
• The transfer of energy between electrons and ions in solids
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• Spin Hall effects in diffusive normal metals
• Quantum kinetic approach for studying thermal transport in the presence of electron-electron interactions and disorder
• Heat transport in Bi_{2+x}Sr_{2-x}CuO_{6+δ}: departure from the Wiedemann-Franz law in the vicinity of the metal-insulator transition
• Thermal transport in a granular metal array
• Berezinskii-Kosterlitz-Thouless transition in homogeneously disordered superconducting films
• Electron-electron interaction corrections to the thermal conductivity in disordered conductors
• Spin thermoelectrics in a disordered Fermi gas
• Deviation from the Wiedemann-Franz law induced by nonmagnetic impurities in overdoped La_{2-x}Sr_{x}CuO_{4}
• Heat diffusion in the disordered electron gas
• Interaction corrections: temperature and parallel field dependencies of the Lorentz number in two-dimensional disordered metals
• Theory of thermal and charge transport in diffusive normal metal / superconductor junctions
• The role of electron-electron collisions for charge and heat transport at intermediate temperatures
• Renormalization group analysis of thermal transport in the disordered Fermi liquid
• Theory of Thermal Conductivity in the Disordered Electron Liquid
• Scale-dependent theory of the disordered electron liquid
• Non-linear sigma model with particle-hole asymmetry for the disordered two-dimensional electron gas
• Lorenz ratio of an impure compensated metal in the degenerate Fermi liquid regime
• Chiral second-sound collective mode at the edge of 2D systems with nontrivial Berry curvature
• Interaction corrections to the thermopower of the disordered two-dimensional electron gas