We investigate the superfluid-insulator quantum phase transition of one-dimensional bosons with off-diagonal disorder by means of large-scale Monte Carlo simulations. For weak disorder, we find the transition to be in the same universality class as the superfluid-Mott insulator transition of the clean system. The nature of the transition changes for stronger disorder. Beyond a critical disorder strength, we find nonuniversal, disorder-dependent critical behavior. We compare our results to recent perturbative and strong-disorder renormalization group predictions. We also discuss experimental implications as well as extensions of our results to other systems.
F. Hrahsheh and T. Vojta, "Disordered Bosons in One Dimension: From Weak- to Strong-Randomness Criticality," Physical Review Letters, vol. 109, no. 26, American Physical Society (APS), Dec 2012.
The definitive version is available at https://doi.org/10.1103/PhysRevLett.109.265303
Keywords and Phrases
Clean systems; Critical behavior; Disorder strength; Monte Carlo Simulation; Off-diagonal disorder; One dimension; One-dimensional bosons; Renormalization-group predictions; Superfluid-insulator quantum phase transition; Superfluid-Mott-insulator transition; Universality class; Weak disorder; Phase transitions; Statistical mechanics; Bosons
International Standard Serial Number (ISSN)
Article - Journal
© 2012 American Physical Society (APS), All rights reserved.
01 Dec 2012