Critical Properties of Strongly Interacting Bosons on a Lattice
We use quantum Monte Carlo techniques to study the critical properties of an interacting boson model in one dimension with and without disorder. In the absence of disorder, the phase diagram consists of a Mott insulating phase at commensurate fillings and a superfluid phase. The effect of disorder is to shrink the Mott insulator phase and to cause the emergence of two new insulating regions. Our simulations are the first to demonstrate the existence and study the properties of the predicted “Bose glass” phase as well as an unanticipated Anderson-like insulating regime. For the uniform system, we study the critical behaviour of the superfluid density and the compressibility, and measure the exponents v and z, which agree with predictions based on a scaling analysis.
KeywordsSugar Compressibility Haldane
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