Phase transition of one dimensional bosons with strong disorder

TL;DR

This paper investigates a phase transition in one-dimensional disordered bosons, revealing a new fixed point and a transition akin to the Kosterlitz-Thouless type, controllable via disorder even without interactions.

Contribution

It identifies a novel random fixed point and characterizes a superfluid to Mott-glass transition in disordered bosons using a real space renormalization group approach.

Findings

Discovery of a new random fixed point controlling the phase transition.

The transition is in the Kosterlitz-Thouless universality class.

The transition can be tuned by disorder distribution without interactions.

Abstract

We study one dimensional disordered bosons at large commensurate filling. Using a real space renormalization group approach we find a new random fixed point which controls a phase transition from a superfluid to an incompressible Mott-glass. The transition can be tuned by changing the disorder distribution even with vanishing interactions. We derive the properties of the transition, which suggest that it is in the Kosterlitz-Thouless universality class.