From the Kubo formula to variable-range hopping

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5 Scopus citations


Consider a multichannel closed ring with disorder. In the semiclassical treatment its conductance is given by the Drude formula. Quantum mechanics challenges 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 semilinear response theory provides a firm unified framework from which the "hopping" phenomenology of Mott can be derived.

Original languageEnglish
Article number125316
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
StatePublished - 21 Mar 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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