Correlations in one-dimensional disordered electronic systems with interaction

TL;DR

This paper studies how randomness affects correlation functions in a one-dimensional strongly correlated electron system, revealing that correlation lengths are sensitive to disorder in weak interactions but insensitive in strong interactions.

Contribution

It provides an exact formulation of ground state correlations using transfer matrices and demonstrates the differing effects of randomness depending on interaction strength.

Findings

Correlation lengths depend on randomness in weak interactions.

Correlation lengths are insensitive to randomness in strong interactions.

Exact evaluation of ground state correlations using transfer matrices.

Abstract

We investigate the effects of randomness in a strongly correlated electron model in one-dimension at half-filling. The ground state correlation functions are exactly written by products of 3$\times$3 transfer matrices and are evaluated numerically. The correlation lengths depend on randomness when the interaction is effectively weak. On the contrary, they are completely insensitive to randomness when the interaction is effectively strong.