Metal-insulator transition in system with topological disorder

TL;DR

This paper investigates the metal-insulator transition in a disordered Anderson model with topological and diagonal disorder, identifying critical parameters and conductance distributions, and discusses scaling properties.

Contribution

It provides numerical analysis of critical disorder, exponents, and conductance distribution in a topologically disordered system, highlighting direction independence of critical parameters.

Findings

Critical disorder and exponents are direction-independent.

Critical conductance distribution P_c(g) varies with parameters and direction.

Supports one-parameter scaling in the system.

Abstract

Metal-insulator transition in anisotropic disordered Anderson model with both topological and diagonal disorder is investigated numerically. For four sets of the model parameters we found the critical disorder and the critical exponent and prove that they do not depend on the transport direction. The system size independent critical conductance distribution P_c(g) is found for each critical point. The form of P_c(g) depends on the model parameters and on the direction of the treansport. Arguments in favor of the one-parameter scaling are presented. This paper has been withdrawn