Absence of transport under a slowly varying potential in disordered systems

Fumihiko Nakano, Masahiro Kaminaga

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In the tight-binding random Hamiltonian on Zd, we consider the charge transport induced by an electric potential which varies sufficiently slowly in time, and prove that it is almost surely equal to zero at high disorder. In order to compute the charge transport, we adopt the adiabatic approximation and prove a weak form of adiabatic theorem while there is no spectral gap at the Fermi energy.

Original languageEnglish
Pages (from-to)917-940
Number of pages24
JournalJournal of Statistical Physics
Volume97
Issue number5-6
DOIs
Publication statusPublished - 1999 Dec

Keywords

  • Adiabatic theorem
  • Anderson localization
  • Charge transport

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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