Absence of transport under a slowly varying potential in disordered systems

Fumihiko Nakano; Masahiro Kaminaga

doi:10.1023/a:1004657913118

Absence of transport under a slowly varying potential in disordered systems

Fumihiko Nakano, Masahiro Kaminaga

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the tight-binding random Hamiltonian on Z^d, 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 language	English
Pages (from-to)	917-940
Number of pages	24
Journal	Journal of Statistical Physics
Volume	97
Issue number	5-6
DOIs	https://doi.org/10.1023/a:1004657913118
Publication status	Published - 1999 Dec

Keywords

Adiabatic theorem
Anderson localization
Charge transport

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/a:1004657913118

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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.",

keywords = "Adiabatic theorem, Anderson localization, Charge transport",

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Absence of transport under a slowly varying potential in disordered systems

Abstract

Keywords

ASJC Scopus subject areas

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