From Luttinger liquid to Altshuler-Aronov anomaly in multi-channel quantum wires

TL;DR

This paper develops a theoretical framework that unifies the understanding of electron-electron interactions in disordered quantum wires, bridging Luttinger liquid behavior and Altshuler-Aronov anomalies through a comprehensive crossover model.

Contribution

It introduces a crossover theory based on an interacting non-linear sigma model that connects Luttinger liquid and Altshuler-Aronov effects in quasi-1D disordered conductors.

Findings

Computed tunneling density of states across the crossover.

Derived interaction correction to conductivity in the full crossover regime.

Provided a unified description of electron interactions in disordered quantum wires.

Abstract

A crossover theory connecting Altshuler-Aronov electron-electron interaction corrections and Luttinger liquid behavior in quasi-1D disordered conductors has been formulated. Based on an interacting non-linear sigma model, we compute the tunneling density of states and the interaction correction to the conductivity, covering the full crossover.