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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2014

Superfluid/Bose-glass transition in one dimension

Résumé

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.

Dates et versions

hal-01062764 , version 1 (24-09-2014)

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Zoran Ristivojevic, Aleksandra Petković, Pierre Le Doussal, Thierry Giamarchi. Superfluid/Bose-glass transition in one dimension. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2014, 90, pp.125144. ⟨10.1103/PhysRevB.90.125144⟩. ⟨hal-01062764⟩
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