Universal parametric correlations in the transmission eigenvalue spectra of disordered conductors

TL;DR

This paper derives a universal, non-perturbative correlation function for transmission eigenvalues in disordered conductors, revealing new universal behavior across different symmetry classes.

Contribution

It provides the first exact non-perturbative solution for the two-point correlation function in systems without time-reversal symmetry, extending understanding of spectral correlations.

Findings

Universal correlation function for non-time-reversal symmetric systems

New universal behavior in disordered conductors

Analysis of orthogonal and symplectic symmetry classes

Abstract

We study the response of the transmission eigenvalue spectrum of disordered metallic conductors to an arbitrary external perturbation. For systems without time-reversal symmetry we find an exact non-perturbative solution for the two-point correlation function, which exhibits a new kind of universal behavior characteristic of disordered conductors. Systems with orthogonal and symplectic symmetries are studied in the hydrodynamic regime.