One- and Two-Particle Problem with Correlated Disorder Potential

TL;DR

This paper investigates how correlated disorder potentials, like quasi-periodic and speckle disorder, influence one- and two-particle systems, revealing phase diagrams, energy effects, and transport properties through exact diagonalization.

Contribution

It provides new insights into the effects of correlated disorder on particle systems, including phase diagrams and energy behaviors, using exact diagonalization methods.

Findings

Phase diagram for single particle with quasi-periodic potential.

Strong interactions modify the ground state phase diagram in two dimensions.

Correlation length and disorder strength significantly affect energy and transport properties.

Abstract

Motivated by the recent experimental and theoretical progresses in the exploration of the effect of disorder in interacting system, we examine the effect of two types of correlated disorder, the quasi-periodic potential and speckle disorder potential, on one- and two-particle problem with exact diagonalization (ED) method. We give the phase diagram for single particle in the presence of quasi-periodic potential and also analyse the effect of strong interaction on the phase diagram for ground state in two dimensions. For the speckle disorder potential case, we examine both the effect of correlation length and disorder strength on single particle ground state energy and two-particle binding energy. The transport property for different interaction strength under speckle disorder potential is also calculated and discussed at last.