Coulomb gap in one-dimensional disordered electron systems

TL;DR

This paper investigates the density of states in one-dimensional disordered electron systems with Coulomb interactions, revealing a power law behavior linked to localization length, aligning with numerical findings.

Contribution

It provides an analytical derivation of the power law form of the density of states in such systems, connecting it to localization length and confirming numerical results.

Findings

Density of states follows a power law with a specific exponent.

The power law exponent is determined by the localization length.

Results are consistent with existing numerical simulations.

Abstract

The density of states of one-dimensional disordered electron systems with long range Coulomb interaction is studied in the weak pinning limit. The density of states is found to follow a power law with an exponent determined by localization length, and this power law behavior is consistent with the existing numerical results.