Self-consistent T-matrix approach to Bose-glass in one dimension

TL;DR

This paper uses a self-consistent T-matrix approximation to analyze the phase transition between Mott insulator and Bose-glass in one-dimensional noninteracting bosons with binary disorder, revealing that the transition occurs at any impurity strength.

Contribution

It introduces a novel application of SCTMA to binary disorder in 1D bosons, showing the transition's persistence at all impurity levels and providing both numerical and analytical density of states calculations.

Findings

Transition exists at arbitrary impurity strength

Density of states calculated numerically and analytically

Good agreement between methods

Abstract

Based on self-consistent T-matrix approximation (SCTMA), the Mott insulator - Bose-glass phase transition of one-dimensional noninteracting bosons subject to binary disorder is considered. The results obtained differ essentially from the conventional case of box distribution of the disorder. The Mott insulator - Bose-glass transition is found to exist at arbitrary strength of the impurities. The single particle density of states is calculated within the frame of SCTMA, numerically, and (for infinite disorder strength) analytically. A good agreement is reported between all three methods. We speculate that certain types of the interaction may lead to the Bose-glass - superfluid transition absent in our theory.