Microscopic conductivity of lattice fermions at equilibrium. I. Non-interacting particles

DOI10.1063/1.4919967zbMath1322.82015arXiv1611.07730OpenAlexW2602195939MaRDI QIDQ5253070

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Publication date: 4 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07730

zbMATH Keywords

Hilbert transformKramers-Kronig relationstransport theorylattice fermionslinear response theoryLegendre-Fenchel transformelectrical conductivityOhm's lawJoule's lawDuhamel two-point functionGreen-Kubo relationsdiamagnetic currentsmicroscopic conductivity distributionmulti-commutatorsparamagnetic currentsquantum current viscosityspace of Schwartz functions

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Operations with distributions and generalized functions (46F10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Transport processes in time-dependent statistical mechanics (82C70) Electromagnetic theory (general) (78A25) Motion of charged particles (78A35)

Related Items (5)

AC-conductivity measure from heat production of free fermions in disordered media ⋮ From the second law of thermodynamics to AC-conductivity measures of interacting fermions in disordered media ⋮ Microscopic conductivity of lattice fermions at equilibrium. II: Interacting particles ⋮ Accuracy of classical conductivity theory at atomic scales for free fermions in disordered media ⋮ Quantum fluctuations and large-deviation principle for microscopic currents of free fermions in disordered media

Cites Work

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• The Green-Kubo formula for locally interacting fermionic open systems
• On Mott's formula for the ac-conductivity in the Anderson model
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• On the asymptotic exactness of the Bogoliubov approximation for many boson systems
• ON THE VERDET CONSTANT AND FARADAY ROTATION FOR GRAPHENE-LIKE MATERIALS
• The conductivity measure for the Anderson model
• Heat Production of Noninteracting Fermions Subjected to Electric Fields
• Quantum Dynamical Systems
• Topics in Spectral Theory
• Transport, Collective Motion, and Brownian Motion
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