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

Article

关键词: MANY-BODY LOCALIZATION;    LUTTINGER-LIQUID;    ANDERSON LOCALIZATION;    INTERACTING FERMIONS;    INSULATOR-TRANSITION;    CARBON NANOTUBES;    STATES;    GASES;    CHAIN;   

DOI  :  10.1103/PhysRevB.96.180202

来源: SCIE

【 摘 要 】

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 K-c takes its universal Giamarchi-Schulz value K-c = 3/2. Conversely, a nonuniversal K-c > 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 alpha.

【 授权许可】

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