Anderson transition in high dimension: comments to arXiv:2403.01974

Abstract

In the recent submission arXiv:2403.01974, Altshuler et al suggested a new approach to the Anderson transition in high dimensions. The main idea consists in the use of the branching graphs instead of high-dimensional lattices: it does not look very convincing, but we do not want to stress this point. Since the authors welcome comments, we put forward a lot of objections to their exposition of the general situation. The arising hypothesis is given in the end.