The quasi-particle gap in a disordered boson Hubbard model in two dimensions

Details The quasi-particle gap in a disordered boson Hubbard model in two dimensions The quasi-particle gap in a disordered boson Hubbard model in two dimensions

2005-11-23

arxiv.org/abs/cond-mat/0511579v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.72.212515

We investigate the behavior of the quasi-particle energy gap near quantum phase transitions in a two-dimensional disordered boson Hubbard model at a commensurate filling. Via Monte Carlo simulations of ensembles with fixed numbers of particles, we observe the behavior of the gap as a function of the tuning parameter for various strength of diagonal disorder. For weak disorder, we find that gapped Mott insulating phase is sustained up to the transition point and disappears only in a superfluid, strongly supporting a direct Mott-insulator-to-superfluid transition. Bose glass behavior, insulating with vanishing gap, appears only when the strength of disorder is bigger than a critical value.

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