Theory of thermal conductivity in the disordered electron liquid

Journal Article · Tue Mar 15 00:00:00 EDT 2016 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776116030195· OSTI ID:22617305

Finkel’stein, A. M. ^[1]

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1. Texas A&M University, Department of Physics and Astronomy (United States)

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 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 long-range Coulomb interaction in the sub-temperature 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 sub-temperature 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.

• OSTI ID: 22617305
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 122, Issue 3; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AMPLITUDES
CORRECTIONS
COULOMB FIELD
ELECTRIC CONDUCTIVITY
ELECTRONS
FERMI GAS
INCLUSIONS
INTERACTIONS
LIQUIDS
METALS
MOSFET
ORDER-DISORDER MODEL
PARTITION FUNCTIONS
PHASE TRANSFORMATIONS
RENORMALIZATION
SCATTERING
THERMAL CONDUCTIVITY
TWO-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL SYSTEMS
WIEDEMANN-FRANZ LAW