Scratched-XY Universality and Phase Diagram of Disordered 1D Bosons in Optical Lattice

ORAL

Abstract

The superfluid-insulator quantum phase transition in a 1D system with weak links belongs to the so-called scratched-XY universality class, provided the irrenormalizable exponent $\zeta$ characterizing the distribution of weak links is smaller than $2/3$. With a combination of worm-algorithm Monte Carlo simulations and asymptotically exact analytics, we accurately trace the position of the scratched-XY critical line on the ground-state phase diagram of bosonic Hubbard model at unity filling. In particular, we reveal the location of the tricritical point separating the scratched-XY criticality from the Giamarchi-Schulz one.

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Authors

  • Zhiyuan Yao

    • Department of Physics, University of Massachusetts, Amherst, MA 01003, USA

  • Lode Pollet

    • Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, University of Munich, Theresienstrasse 37, 80333 M
    • Ludwig Maximilian University of Munich
    • Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-University Munich

  • Nikolay Prokof'ev

    • Department of Physics, University of Massachusetts, Amherst, MA 01003, USA
    • University of Massachusetts
    • University of Massachusetts, Amherst;Russian Research Center “Kurchatov Institute”
    • UMass Amherst
    • University of Massachusetts, Amherst; Russian Research Center ``Kurchatov Institute"

  • Boris Svistunov

    • Department of Physics, University of Massachusetts, Amherst, MA 01003, USA
    • University of Massachusetts
    • University of Massachusetts Amherst
    • UMass Amherst
    • University of Massachusetts, Amherst; Russian Research Center ``Kurchatov Institute"