Quantum Phase Transitions of Hard-Core Bosons in Background Potentials

Abstract

We study the zero temperature phase diagram of hard core bosons in two dimensions subjected to three types of background potentials: staggered, uniform, and random. In all three cases there is a quantum phase transition from a superfluid (at small potential) to a normal phase (at large potential), but with different universality classes. As expected, the staggered case belongs to the XY universality, while the uniform potential induces a mean field transition. The disorder driven transition is clearly different from both; in particular, we find z~1.4, ν~1, and β~0.6.

4 pages (6 figures); published version-- 2 references added, minor clarifications

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