Theory of Thermal Conductivity in the Disordered Electron Liquid

Abstract

We study thermal conductivity in the disordered two-dimensional electron liquid in the presence of long-range Coulomb interactions. We describe a microscopic analysis of the problem using as a starting point the partition function defined on the Keldysh contour. We extend the Renormalization Group (RG) analysis developed for thermal transport in the disordered Fermi liquid, and include scattering processes induced by the long-range Coulomb interaction in the sub-temperature energy range. For the thermal conductivity, unlike for the electric conductivity, these scattering processes yield a logarithmic correction which may compete with the RG-corrections. The interest in this correction arises from the fact that it violates the Wiedemann-Franz law. We checked that the sub-temperature correction to the thermal conductivity is not modified, neither by the inclusion of Fermi liquid interaction amplitudes nor as a result of the RG flow. We thereby expect that the answer obtained for this correction is final. We use the theory to describe thermal transport on the metallic side of the metal-insulator transition in Si MOSFETs.

Special JETP issue dedicated to the 85th birthday of Prof. L. V. Keldysh; 8 pages, 1 figure

References in corpus (3)

• Electronic thermal conductivity of disordered metals
• Thermal Transport and Wiedemann-Franz Law in the Disordered Fermi Liquid
• Renormalization group analysis of thermal transport in the disordered Fermi liquid

Cited by in corpus (9)

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• The role of electron-electron collisions for charge and heat transport at intermediate temperatures
• A Criterion for Strange Metallicity in the Lorenz Ratio
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• 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
• 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