Separation of two regimes in a disordered boson Hubbard Model

Abstract

We study the insulator-to-superfluid transition in a two-dimensional disordered boson Hubbard model at zero temperature for intermediate strength of disorder at commensurate density. Via Monte Carlo calculations of the correlation functions in the integer current representation of the model, we obtain the dynamical critical exponent $z=1.5\pm 0.1$, supporting the multi-critical behavior separating the strong and weak disorder regimes. Investigating the density profile, we suggest that the density fluctuations due to the particle-hole excitations drive the transition in the weak disorder regime.

arXiv commentto be published in PRB

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Cited by in corpus (8)

• Cold Bosons in Optical Lattices
• Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature
• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Quantum Phase Transitions of Hard-Core Bosons in Background Potentials
• Phase diagram of the Bose-Hubbard Model on Complex Networks
• Mean-field phase diagram for Bose-Hubbard Hamiltonians with random hopping
• The quasi-particle gap in a disordered boson Hubbard model in two dimensions
• The effect of disorder on polaritons in a coupled array of cavities