Theory of thermal conductivity in the disordered electron liquid
Abstract
We study thermal conductivity in the disordered twodimensional electron liquid in the presence of longrange Coulomb interactions. We describe a microscopic analysis of the problem using the partition function defined on the Keldysh contour as a starting point. We extend the renormalization group (RG) analysis developed for thermal transport in the disordered Fermi liquid and include scattering processes induced by the longrange Coulomb interaction in the subtemperature energy range. For the thermal conductivity, unlike for the electrical conductivity, these scattering processes yield a logarithmic correction that 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 subtemperature correction to the thermal conductivity is not modified either by the inclusion of Fermi liquid interaction amplitudes or as a result of the RG flow. We therefore 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.
 Authors:
 Johannes Gutenberg Universität, Spin Phenomena Interdisciplinary Center (SPICE) and Institut für Physik (Germany)
 Texas A&M University, Department of Physics and Astronomy (United States)
 Publication Date:
 OSTI Identifier:
 22617305
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 122; Journal Issue: 3; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AMPLITUDES; CORRECTIONS; COULOMB FIELD; ELECTRIC CONDUCTIVITY; ELECTRONS; FERMI GAS; INCLUSIONS; INTERACTIONS; LIQUIDS; METALS; MOSFET; ORDERDISORDER MODEL; PARTITION FUNCTIONS; PHASE TRANSFORMATIONS; RENORMALIZATION; SCATTERING; THERMAL CONDUCTIVITY; TWODIMENSIONAL CALCULATIONS; TWODIMENSIONAL SYSTEMS; WIEDEMANNFRANZ LAW
Citation Formats
Schwiete, G., Email: schwiete@unimainz.de, and Finkel’stein, A. M.. Theory of thermal conductivity in the disordered electron liquid. United States: N. p., 2016.
Web. doi:10.1134/S1063776116030195.
Schwiete, G., Email: schwiete@unimainz.de, & Finkel’stein, A. M.. Theory of thermal conductivity in the disordered electron liquid. United States. doi:10.1134/S1063776116030195.
Schwiete, G., Email: schwiete@unimainz.de, and Finkel’stein, A. M.. 2016.
"Theory of thermal conductivity in the disordered electron liquid". United States.
doi:10.1134/S1063776116030195.
@article{osti_22617305,
title = {Theory of thermal conductivity in the disordered electron liquid},
author = {Schwiete, G., Email: schwiete@unimainz.de and Finkel’stein, A. M.},
abstractNote = {We study thermal conductivity in the disordered twodimensional electron liquid in the presence of longrange Coulomb interactions. We describe a microscopic analysis of the problem using the partition function defined on the Keldysh contour as a starting point. We extend the renormalization group (RG) analysis developed for thermal transport in the disordered Fermi liquid and include scattering processes induced by the longrange Coulomb interaction in the subtemperature energy range. For the thermal conductivity, unlike for the electrical conductivity, these scattering processes yield a logarithmic correction that 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 subtemperature correction to the thermal conductivity is not modified either by the inclusion of Fermi liquid interaction amplitudes or as a result of the RG flow. We therefore 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.},
doi = {10.1134/S1063776116030195},
journal = {Journal of Experimental and Theoretical Physics},
number = 3,
volume = 122,
place = {United States},
year = 2016,
month = 3
}

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