Disordered bosons in one dimension: from weak to strong randomness criticality

Abstract

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.

5 pages, 5 eps figures included, final version as published

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Cited by in corpus (21)

• Strong Disorder RG approach - a short review of recent developments
• Dirty-boson physics with magnetic insulators
• Dynamical Conductivity Across The Disorder-Tuned Superconductor-Insulator Transition
• Strong disorder renormalization group primer and the superfluid-insulator transition
• Bose glass transition and spin-wave localization for 2D bosons in a random potential
• Weak Versus Strong Disorder Superfluid-Bose Glass Transition in One Dimension
• Many-body localization as a large family of localized ground states
• Classical-Field Renormalization Flow of One-Dimensional Disordered Bosons
• Superfluid/Bose-glass transition in one dimension
• Unconventional U(1) to ${\mathbf{Z}}_{\mathbf{q}}$ cross-over in quantum and classical $\mathbf{q}$-state clock models
• Numerical evidence for strong randomness scaling at a superfluid-insulator transition of one-dimensional bosons
• Localization of disordered bosons and magnets in random fields
• Superfluid-insulator transition of two-dimensional disordered Bose gases
• Kane-Fisher weak link physics in the clean scratched-XY model
• Phases and Phase Transitions of the Disordered Quantum Clock Model
• Random gauge models of the superconductor-insulator transition in two-dimensional disordered superconductors
• Susceptibility at the Superfluid-Insulator Transition for One-Dimensional Disordered Bosons
• Magnetic field-dependent inhomogeneities and their effect on the magnetoresponse of 2D superconductors
• Quantum Phases of a Weakly Disordered Josephson Ladder
• Superfluid-Mott glass quantum multicritical point on a percolating lattice
• Strong randomness criticality in the scratched-XY model