Weak- versus strong-disorder superfluid—Bose glass transition in one dimension

Using large-scale simulations based on matrix product state and quantum Monte Carlo techniques, we study the superfluid to Bose glass transition for one-dimensional attractive hard-core bosons at zero temperature, across the full regime from weak to strong disorder. As a function of interaction and...

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Veröffentlicht in:Physical review. B 2017-11, Vol.96 (18), Article 180202
Hauptverfasser: Doggen, Elmer V. H., Lemarié, Gabriel, Capponi, Sylvain, Laflorencie, Nicolas
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Lemarié, Gabriel
Capponi, Sylvain
Laflorencie, Nicolas
description Using large-scale simulations based on matrix product state and quantum Monte Carlo techniques, we study the superfluid to Bose glass transition for one-dimensional attractive hard-core bosons at zero temperature, across the full regime from weak to strong disorder. As a function of interaction and disorder strength, we identify a Berezinskii-Kosterlitz-Thouless critical line with two different regimes. At small attraction where critical disorder is weak compared to the bandwidth, the critical Luttinger parameter Kc takes its universal Giamarchi-Schulz value Kc=3/2. Conversely, a nonuniversal Kc>3/2 emerges for stronger attraction where weak-link physics is relevant. In this strong-disorder regime, the transition is characterized by self-similar power-law-distributed weak links with a continuously varying characteristic exponent α.
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source American Physical Society Journals
subjects Attraction
Bosons
Computer simulation
Condensed Matter
Disordered Systems and Neural Networks
Electric power distribution
Fluids
Glass
Physics
Self-similarity
Superfluidity
title Weak- versus strong-disorder superfluid—Bose glass transition in one dimension
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