Low-energy theory of disordered interacting quantum wires

TL;DR

This paper develops a low-energy theoretical framework for disordered interacting quantum wires, capturing Anderson localization, bosonization, and diffusive behavior across different regimes and channel numbers.

Contribution

It introduces a unified low-energy theory that describes localization, bosonization, and diffusive physics in disordered interacting quantum wires.

Findings

Describes Anderson localization in the limit of vanishing dephasing.

Reduces to standard abelian bosonization when disorder vanishes.

Shows diffusive behavior in multi-channel quantum wires.

Abstract

We derive an effective low-energy theory of disordered interacting quantum wires. Our theory describes Anderson localization in the limit of vanishing dephasing and reduces to standard abelian bosonization in the limit of vanishing disorder. In a system with many transport channels, it exhibits the diffusive physics characteristic for multi-channel quantum wires.