Transport in disordered interacting systems: Numerical results for one-dimensional spinless electrons

TL;DR

This paper investigates how disorder and electron interactions affect transport in one-dimensional spinless systems, revealing that interactions can both enhance and suppress conductance depending on localization strength.

Contribution

It introduces the Hartree-Fock-based diagonalization method for efficient numerical analysis of disordered interacting systems and uncovers the contrasting effects of interactions on conductance.

Findings

Interactions can significantly enhance conductance in strongly localized systems.

Long-range interactions lead to larger conductance enhancement than short-range.

Interactions suppress conductance in weakly localized systems.

Abstract

The combined influence of disorder and interactions on the transport properties of electrons in one dimension is investigated. The numerical simulations are carried out by means of the Hartree-Fock-based diagonalization (HFD), a very efficient method to determine the low-energy properties of a disordered many-particle system. We find that the conductance of a strongly localized system can become considerably enhanced by the interactions. The enhancement for long-range interactions is significantly larger than for short-range interactions. In contrast, the conductance of weakly localized systems becomes suppressed by the interactions.