Journal
ANNALS OF PHYSICS
Volume 321, Issue 7, Pages 1651-1668Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2006.04.009
Keywords
XY model; quantum phase transition; valence-bond solid; finite-size scaling; hard-core bosons; ring exchange; quantum Monte Carlo; stochastic series expansion
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We discuss the ground state phase transition between an antiferromagnet and a valence-bond solid in a two-dimensional spin-1/2 XY model with a four-spin interaction. This transition has been proposed as a candidate for a deconfined quantum-critical point. We analyze quantum Monte Carlo data in order to accurately characterize the transition. The central question that remains to be answered is whether the transition really is continuous, or whether it is actually weakly first-order. We present the current status of both ground state and finite-temperature calculations. Based on the results, we discuss possible scenarios for the transition, none of which is consistent with deconfined quantum-criticality. However, we argue that a deconfined quantum-critical point may be located nearby in an extended parameter space. We also discuss the staggered Ising phase obtaining in the limit of strong four-spin coupling. (c) 2006 Elsevier Inc. All rights reserved.
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