Level Correlations And Persistent Currents In Mesoscopic Metals

TL;DR

This paper investigates the relationship between energy level correlations and persistent currents in mesoscopic metals using exact correlation functions, providing insights into their behavior under magnetic fields.

Contribution

It introduces a method to evaluate persistent currents via exact energy level correlation functions and compares this with perturbation theory approaches.

Findings

Correlation functions accurately predict persistent currents.

Perturbation theory limits are consistent with exact calculations.

Provides a framework for analyzing mesoscopic magnetic responses.

Abstract

We use the exact correlation function of the density of energy levels in the magnetic field to evaluate persistent currents in mesoscopic metals. We also analyze the perturbation theory limit of the correlation function vis-a-vis the perturbation theory limit of the orbital response.