Superfluid-Insulator Transition in Commensurate Disordered Bosonic Systems: Large-Scale Worm Algorithm Simulations

Authors

Nikolai Prokof'ev, University of Massachusetts - AmherstFollow
Boris Svistunov, University of Massachusetts - AmherstFollow

Publication Date

2004

Journal or Book Title

Physics Review Letters

Abstract

We report results of large-scale Monte Carlo simulations of superfluid-insulator transitions in disordered commensurate 2D bosonic systems. In the off-diagonal disorder case, we find that the transition is to a gapless incompressible insulator, and its dynamical critical exponent is z=1.5(2). In the diagonal-disorder case, we prove the conjecture that rare statistical fluctuations are inseparable from critical fluctuations on the largest scales and ultimately result in crossover to the generic universality class (apparently with z=2). However, even at strong disorder, the universal behavior sets in only at very large space-time distances. This explains why previous studies of smaller clusters mimicked a direct superfluid–Mott-insulator transition.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v92/i1/e015703

Volume

92

Issue

1

Recommended Citation

Prokof'ev, Nikolai and Svistunov, Boris, "Superfluid-Insulator Transition in Commensurate Disordered Bosonic Systems: Large-Scale Worm Algorithm Simulations" (2004). Physics Review Letters. 1155.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1155