Renormalization group for Anderson localization on high-dimensional lattices.

ABSTRACT: We discuss the dependence of the critical properties of the Anderson model on the dimension d in the language of β-function and renormalization group recently introduced in Vanoni et al. [C. Vanoni et al., Proc. Natl. Acad. Sci. U.S.A. 121, e2401955121 (2024)] in the context of Anderson transition on random regular graphs. We show how in the delocalized region, including the transition point, the one-parameter scaling part of the β-function for the fractal dimension [Formula: see text] evolves smoothly from its [Formula: see text] form, in which [Formula: see text], to its [Formula: see text] form, which is represented by the random regular graph (RRG) result. We show how the [Formula: see text] expansion and the [Formula: see text] expansion aroun

SUBMITTER: Altshuler BL 

PROVIDER: S-EPMC12415199 | biostudies-literature | 2025 Sep

REPOSITORIES: biostudies-literature