Superfluid/Bose-glass transition in one dimension

Zoran Ristivojevic; Aleksandra Petkovic; Pierre Le Doussal; Thierry Giamarchi

doi:10.1103/physrevb.90.125144

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arXiv · 1404.0678

Superfluid/Bose-glass transition in one dimension

Zoran Ristivojevic·Aleksandra Petkovic·Pierre Le Doussal·Thierry Giamarchi

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Abstract

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a systematic approach, we derive the renormalization group equations at two-loop order and discuss the phase diagram. We find the universal form of the correlation functions at the transitions and compute the logarithmic corrections to the main universal power-law behavior. In order to mimic large density fluctuations on a single site, we study a simplified model of disordered two-leg bosonic ladders with correlated disorder across the rung. Contrarily to the single-chain case, the latter system exhibits a transition between a superfluid and a localized phase where the exponents of the correlation functions at the transition do not take universal values.

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Zoran Ristivojevic, Aleksandra Petkovic, Pierre Le Doussal, Thierry Giamarchi. 2014-04-02. Superfluid/Bose-glass transition in one dimension. https://doi.org/10.1103/physrevb.90.125144

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