6533b870fe1ef96bd12cf34a

RESEARCH PRODUCT

Heat diffusion in the disordered electron gas

Alexander M. Finkel'steinAlexander M. Finkel'steinAlexander M. Finkel'steinGeorg SchwieteGeorg Schwiete

subject

PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsCondensed matter physicsStrongly Correlated Electrons (cond-mat.str-el)ScatteringFOS: Physical sciences02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesConserved quantityCondensed Matter - Strongly Correlated ElectronsCorrelation function (statistical mechanics)Thermal conductivity0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)CoulombHeat equation010306 general physics0210 nano-technologyFermi gasSpin-½

description

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.

https://dx.doi.org/10.48550/arxiv.1509.02519