Drude conductivity of a granular metal

We present a complete derivation of the analog to Drude conductivity in granular metals using diagrammatic methods. The derivation of Drude conductivity in a homogeneous metal using Kubo linear response theory is somewhat involved, with the evaluation of a singular double integral being required to...

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Bibliographic Details
Published inAnnals of physics Vol. 418; p. 168170
Main Authors Perkins, David T.S., Smith, Robert A.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.07.2020
Subjects
Diagrammatic quantum field theory
Electronic transport
Granular metals
Diagrammatic quantum field theory
Electronic transport
Granular metals
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Summary:We present a complete derivation of the analog to Drude conductivity in granular metals using diagrammatic methods. The derivation of Drude conductivity in a homogeneous metal using Kubo linear response theory is somewhat involved, with the evaluation of a singular double integral being required to cancel the diamagnetic response. We first provide a history and careful derivation of this standard result, before analyzing the equivalent situation in the model of a granular metal as a lattice of metallic grains connected by tunneling. A singular triple integral occurs here, and its evaluation gives the result expected from the Einstein relation and Fermi’s golden rule.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2020.168170