Disorder and Interactions in 1D Systems

TL;DR

This paper introduces a novel numerical method combining transfer matrix and density matrix renormalization group techniques to study disorder and interactions in quasi-1D systems, demonstrating a conducting state with attractive interactions.

Contribution

It presents a new computational approach that merges two successful methods to analyze disorder and interactions in 1D systems.

Findings

Existence of a conducting state with attractive interactions in 1D systems.

The new method effectively studies disorder and interactions.

Demonstrates the applicability of combined numerical techniques.

Abstract

We present a new numerical approach to the study of disorder and interactions in quasi-1D systems which combines aspects of the transfer matrix method and the density matrix renormalization group which have been successfully applied to disorder and interacting problems respectively. The method is applied to spinless fermions in 1D and the existence of a conducting state is demonstrated in the presence of attractive interactions.