Semiclassical Approach to Orbital Magnetism of Interacting Diffusive Quantum Systems

TL;DR

This paper develops a semiclassical method to analyze how interactions influence the orbital magnetism in diffusive mesoscopic quantum systems, bridging quantum and classical approaches.

Contribution

It introduces a semiclassical framework that simplifies the calculation of interaction effects on orbital magnetism, aligning with quantum diagrammatic results.

Findings

Reproduces quantum diagrammatic results using semiclassical techniques

Provides a classical operator representation of interaction contributions

Applies to disordered rings and dots with diffusive dynamics

Abstract

We study interaction effects on the orbital magnetism of diffusive mesoscopic quantum systems. By combining many-body perturbation theory with semiclassical techniques, we show that the interaction contribution to the ensemble averaged quantum thermodynamic potential can be reduced to an essentially classical operator. We compute the magnetic response of disordered rings and dots for diffusive classical dynamics. Our semiclassical approach reproduces the results of previous diagrammatic quantum calculations.