Phase transition of interacting disordered bosons in one dimension

TL;DR

This paper investigates the phase transition between superfluid and Bose glass states in one-dimensional disordered bosonic systems using advanced theoretical methods, revealing universal critical behavior.

Contribution

It derives two-loop scaling equations and characterizes the universal exponents at the transition, advancing understanding of disordered bosonic phases.

Findings

Universal exponents characterize the transition.

Phase diagram includes a finite region with universal behavior.

Two-loop renormalization group equations are derived.

Abstract

Interacting bosons generically form a superfluid state. In the presence of disorder it can get converted into a compressible Bose glass state. Here we study such transition in one dimension at moderate interaction using bosonization and renormalization group techniques. We derive the two-loop scaling equations and discuss the phase diagram. We find that the correlation functions at the transition are characterized by universal exponents in a finite region around the fixed point.