Localization parameters for two interacting particles in disordered two-dimensional lattices

TL;DR

This paper investigates how interactions influence particle localization in disordered two-dimensional lattices, revealing that interactions can both reduce and enhance localization depending on their strength, with a transition in correlation dominance but no clear localization-delocalization transition.

Contribution

It provides new insights into the effects of particle interactions on localization phenomena and correlation transitions in disordered 2D lattices.

Findings

Interactions reduce localization at moderate disorder and interaction strengths.

Higher interaction strengths lead to increased localization.

A correlation transition occurs without a clear localization-delocalization transition.

Abstract

In two dimensional disordered lattices, presence of interaction makes particles less localized than the non-interacting ones within the range of disorder strength $W \le 4$ and interaction strength $V \le 4$. If the interaction strength is higher, then particles localize more. Although, a localization- delocalization transition is not found, a transition with changes in the dominant correlations is observed. The nature of correlations between the particles as nearest neighbors become dominant beyond certain disorder strengths.