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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creator | Doggen, Elmer V. H. 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. |
doi_str_mv | 10.1103/PhysRevB.96.180202 |
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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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