Diffusion Poles and the Anderson Transition

Abstract

In the recent series of papers (cond-mat/0402471, cond-mat/0403618, cond-mat/0407618, cond-mat/0501586), Janis and Kolorenc discussed the role of the diffision poles in the Anderson transition theory. Their picture contradicts the general principles and is shown below to be completely misleading. Correct setting of the problem is given and the contemporary situation is discussed. The critical remarks are given on the relation of the diffusion coefficient with multifractality of the wave functions.