From the Kubo formula to variable range hopping

dc.creatorCohen, Doron
dc.date2006-11-27
dc.date2007-03-21
dc.date.accessioned2026-07-07T07:52:44Z
dc.date.available2026-07-07T07:52:44Z
dc.descriptionConsider a multichannel closed ring with disorder. In the semiclassical treatment its conductance is given by the Drude formula. Quantum mechanics challenge this result both in the limit of strong disorder (eigenstates are not quantum-ergodic in real space) and in the limit of weak disorder (eigenstates are not quantum-ergodic in momentum space). Consequently the analysis of conductance requires going beyond linear response theory, leading to a resistor network picture of transitions between energy levels. We demonstrate that our semi-linear response theory provides a firm unified framework from which the "hopping" phenomenology of Mott can be derived.
dc.description5 pages, published version with an extended concluding paragraph
dc.identifierhttps://arxiv.org/abs/cond-mat/0611663
dc.identifierhttp://arxiv.org/abs/cond-mat/0611663
dc.identifierPhys. Rev. B 75, 125316 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.125316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125987
dc.subjectMesoscale and Nanoscale Physics
dc.titleFrom the Kubo formula to variable range hopping
dc.typetext

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