Universal conductance distribution in three dimensional systems in high magnetic fields

TL;DR

This paper investigates the universal conductance distribution at the Anderson transition in high magnetic fields, emphasizing scale invariance, universality, and fractal wave function properties at the critical point.

Contribution

It demonstrates the size and model independence of conductance distribution at the critical point and discusses the fractal nature of wave functions related to scale invariance.

Findings

Conductance distribution becomes universal at the critical point.

Critical wave functions exhibit fractal properties.

Scale invariance underpins the universality of the transition.

Abstract

The nature of the critical point of the Anderson transition in high magnetic fields is discussed with an emphasis on scale invariance and universality of the critical exponent. Special attention is paid to the distribution function of the conductance which becomes size and model independent at the critical point. The fractal properties of the wave function which are related to scale invariance are also discussed.