Higher order parametric level statistics in disordered systems

TL;DR

This paper derives an analytical expression for higher order parametric level correlations in disordered systems with broken time-reversal symmetry, using a random matrix model to analyze the effects of multicomponent flux perturbations.

Contribution

It introduces a novel analytical approach to compute parametric density-density correlations in disordered systems affected by multicomponent flux, advancing understanding of spectral statistics.

Findings

Derived a closed-form expression for parametric density-density correlation functions.

Mapped the problem onto a coupled Hermitian random matrix model.

Provided insights into spectral correlations under flux perturbations.

Abstract

Higher order parametric level correlations in disordered systems with broken time-reversal symmetry are studied by mapping the problem onto a model of coupled Hermitian random matrices. Closed analytical expression is derived for parametric density-density correlation function which corresponds to a perturbation of disordered system by a multicomponent flux.