Absence of transport under a slowly varying potential in disordered systems

Fumihiko Nakano, Masahiro Kaminaga

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)917-940
ページ数24
ジャーナルJournal of Statistical Physics
97
5-6
DOI
出版ステータスPublished - 1999 12

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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