Absence of transport in Anderson localization

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7 Citations (Scopus)

Abstract

We consider the charge transport in the tight-binding Anderson model. Under a mild condition on the Fermi projection, we show that it is zero almost surely. This result has wider applicability than our previous work [12], while the definition of charge transport is slightly different. It also applies to the computation of non-diagonal component of the conductivity tensor which recovers the famous result of quantization of Hall conductivity in quantum Hall systems.

Original languageEnglish
Pages (from-to)375-407
Number of pages33
JournalReviews in Mathematical Physics
Volume14
Issue number4
DOIs
Publication statusPublished - 2002

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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