Single Superfield Representation for Mixed Retarded and Advanced Correlators in Disordered Systems

TL;DR

This paper introduces a novel superfield approach to analyze mixed retarded and advanced correlators in disordered systems, validated in Random Matrix theory and potentially useful for studying localization in Quantum Hall systems.

Contribution

A new single superfield representation for mixed correlators in disordered systems, applicable to localization and quantum Hall physics.

Findings

Matches universal level spacing correlations in Random Matrix theory

Provides a general framework for mixed correlator analysis

Potential applications in quantum Hall localization studies

Abstract

We propose a new single superfield representation for mixed retarded and advanced correlators for noninteracting disordered systems. The method is tested in the simpler context of Random Matrix theory, by comparing with well known universal behavior for level spacing correlations. Our method is general and could be especially interesting to study localization properties encoded in the mixed correlators of Quantum Hall systems.