Spectral statistics of disordered metals in the presence of several Aharonov-Bohm fluxes

TL;DR

This paper calculates the spectral correlation form factor in disordered metals with multiple Aharonov-Bohm fluxes, revealing universal behavior depending on fluxes and conductance, and explains recent numerical observations at the metal-insulator transition.

Contribution

It provides an analytical calculation of spectral correlations in disordered metals with multiple fluxes, highlighting universal dependence on flux and conductance.

Findings

Correlations depend on $n g^2 \phi$ when fluxes are equal.

Results explain flux dependence observed numerically at the metal-insulator transition.

Universal functions describe spectral correlations in the presence of fluxes.

Abstract

The form factor for spectral correlations in a diffusive metal is calculated in the presence of several Aharonov-Bohm fluxes. When the fluxes $\phi$ are equal, the correlations are universal functions of $n g^2 \phi$ where $g$ is the dimensionless conductance and $n$ is the number of applied fluxes. This explains recent flux dependence of the correlations found numerically at the metal-insulator transition.