0000000000814875

AUTHOR

Alexander M. Finkel'stein

showing 3 related works from this author

Thermal Transport and Wiedemann-Franz Law in the Disordered Fermi Liquid

2014

We study thermal transport in the disordered Fermi liquid at low temperatures. Gravitational potentials are used as sources for finding the heat density and its correlation function. For a comprehensive study, we extend the renormalization group (RG) analysis developed for electric transport by including the gravitational potentials into the RG scheme. Our analysis reveals that the Wiedemann-Franz law remains valid even in the presence of quantum corrections caused by the interplay of diffusion modes and the electron electron interaction. In the present scheme this fundamental relation is closely connected with a fixed point in the multi-parametric RG-flow of the gravitational potentials.

PhysicsField (physics)Condensed matter physicsCondensed Matter - Mesoscale and Nanoscale PhysicsStrongly Correlated Electrons (cond-mat.str-el)SigmaFOS: Physical sciencesCondensed Matter::Mesoscopic Systems and Quantum Hall EffectCondensed Matter Physics530Electronic Optical and Magnetic MaterialsGravitationNonlinear systemCondensed Matter - Strongly Correlated ElectronsThermal transportCondensed Matter::SuperconductivityQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Fermi liquid theoryWiedemann–Franz lawFermi Gamma-ray Space Telescope
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Renormalization group analysis of thermal transport in the disordered Fermi liquid

2014

We present a detailed study of thermal transport in the disordered Fermi liquid with short-range interactions. At temperatures smaller than the impurity scattering rate, i.e., in the diffusive regime, thermal conductivity acquires non-analytic quantum corrections. When these quantum corrections become large at low temperatures, the calculation of thermal conductivity demands a theoretical approach that treats disorder and interactions on an equal footing. In this paper, we develop such an approach by merging Luttinger's idea of using gravitational potentials for the analysis of thermal phenomena with a renormalization group calculation based on the Keldysh nonlinear sigma model. The gravita…

PhysicsStrongly Correlated Electrons (cond-mat.str-el)Condensed Matter - Mesoscale and Nanoscale PhysicsSigma modelFOS: Physical sciencesPartition function (mathematics)Renormalization groupCondensed Matter Physics5307. Clean energy3. Good healthElectronic Optical and Magnetic MaterialsGravitationCondensed Matter - Strongly Correlated ElectronsThermal conductivityCorrelation functionQuantum mechanicsQuantum electrodynamicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Fermi liquid theoryQuantumPhysical Review B
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Heat diffusion in the disordered electron gas

2015

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 densit…

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
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