A Mott Glass to Superfluid Transition for Random Bosons in Two Dimensions

Abstract

We study the zero temperature superfluid-insulator transition for a two-dimensional model of interacting, lattice bosons in the presence of quenched disorder and particle-hole symmetry. We follow the approach of a recent series of papers by Altman, Kafri, Polkovnikov, and Refael, in which the strong disorder renormalization group is used to study disordered bosons in one dimension. Adapting this method to two dimensions, we study several different species of disorder and uncover universal features of the superfluid-insulator transition. In particular, we locate an unstable finite disorder fixed point that governs the transition between the superfluid and a gapless, glassy insulator. We present numerical evidence that this glassy phase is the incompressible Mott glass and that the transition from this phase to the superfluid is driven by percolation-type process. Finally, we provide estimates of the critical exponents governing this transition.

(24 pages + 7 page appendix, 28 figures) This version has been accepted to PRB. We have acquired new data that resolves the contradiction between two estimates of the critical exponents in the earlier version of the paper

References in corpus (26)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Infinite-randomness quantum Ising critical fixed points
• Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
• Strongly interacting bosons in a disordered optical lattice
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
• Superfluid--Insulator Transition in Commensurate Disordered Bosonic Systems:Large-Scale Worm-Algorithm Simulations
• Critical Behaviour of the 3D XY-Model: A Monte Carlo Study
• Renormalization group study of the two-dimensional random transverse-field Ising model
• Phase transition of one dimensional bosons with strong disorder
• Superfluid-insulator transition of disordered bosons in one-dimension
• Survival of superconducting correlations across the 2D superconductor-insulator transition: A finite frequency study
• Bose-Hubbard phase diagram with arbitrary integer filling
• Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott Glass
• Universal transport in 2D granular superconductors
• Particle-hole symmetry and the dirty boson problem
• Mott glass in site-diluted S=1 antiferromagnets with single-ion anisotropy
• Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
• Quantum glass phases in the disordered Bose-Hubbard model
• Nature of the low-energy excitations of two-dimensional diluted Heisenberg quantum antiferromagnets
• Quantum-criticality and percolation in dimer-diluted 2D antiferromagnets
• Low-energy dynamics of the two-dimensional S=1/2 Heisenberg antiferromagnet on percolating clusters
• Ordering near the percolation threshold in models of 2D interacting bosons with quenched dilution
• Two distinct Mott-Insulator to Bose-glass transitions and breakdown of self averaging in the disordered Bose-Hubbard model
• Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons

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