On the problem of nontransport of electrons in disordered Systems (Anderson localization)

Abstract

The problem of non-transport (Anderson localization) in cellularly disordered systems 4 well h o y n to be related to the question of convergence of the Brillouin Wigner pemubaon expansion for self-energy involving random energy denominators. In &is preliminary communication an explicit criterion for the absolute convergence in the probability sense, of a partial! Series has been obtained in terms of the width of the rectangular distribution.' of the random site-energies and the band width W. The partials series considered involves only terms with non-repeating site indices