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Superfluid/Bose-glass transition in one dimension

Ristivojevic, Zoran
Petković, Aleksandra
Le Doussal, Pierre
Published in Physical Review. B, Condensed Matter. 2014, vol. 90, no. 12, p. 125144
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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Other version: http://link.aps.org/doi/10.1103/PhysRevB.90.125144
Research group Groupe Giamarchi
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RISTIVOJEVIC, Zoran et al. Superfluid/Bose-glass transition in one dimension. In: Physical Review. B, Condensed Matter, 2014, vol. 90, n° 12, p. 125144. https://archive-ouverte.unige.ch/unige:87809

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Deposited on : 2016-09-27

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