Heat diffusion in the disordered electron gas

Abstract

We study the thermal conductivity of the disordered two-dimensional electron gas. To this end we analyze the heat density-heat density correlation function concentrating on the scattering processes induced by the Coulomb interaction in the sub-temperature energy range. These scattering processes are at the origin of logarithmic corrections violating the Wiedemann-Franz law. Special care is devoted to the definition of the heat density in the presence of the long-range Coulomb interaction. To clarify the structure of the correlation function, we present details of a perturbative calculation. While the conservation of energy strongly constrains the general form of the heat density-heat density correlation function, the balance of various terms turns out to be rather different from that for the correlation functions of other conserved quantities such as the density-density or spin density-spin density correlation function.

23 pages, 12 figures

References in corpus (5)

• Anomalous reduction of the Lorenz ratio at the quantum critical point in YbAgGe
• Electronic thermal conductivity of disordered metals
• Thermal conductivity of a two-dimensional electron gas with Coulomb interaction
• Thermal conductivity through the quantum critical point in YbRh2Si2 at very low temperature
• Interaction corrections: temperature and parallel field dependencies of the Lorentz number in two-dimensional disordered metals

Cited by in corpus (10)

• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Energy transport in the Anderson insulator
• Current-induced spin polarization of a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• The role of electron-electron collisions for charge and heat transport at intermediate temperatures
• Thermally-induced spin polarization in a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Scale-dependent theory of the disordered electron liquid
• Non-linear sigma model with particle-hole asymmetry for the disordered two-dimensional electron gas
• Flexural phonons in supported graphene: from pinning to localization
• Lorenz ratio of an impure compensated metal in the degenerate Fermi liquid regime
• Interaction corrections to the thermopower of the disordered two-dimensional electron gas