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Phys. Rev. Lett. 101, 155702 (2008) [4 pages]

SU(2)-Invariant Continuum Theory for an Unconventional Phase Transition in a Three-Dimensional Classical Dimer Model

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Stephen Powell and J. T. Chalker
Theoretical Physics, Oxford University, 1 Keble Road, Oxford, OX1 3NP, United Kingdom

Received 28 May 2008; revised 2 September 2008; published 8 October 2008

We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a two-dimensional quantum problem, by which the dimer model is related to a model of hard-core bosons on the kagome lattice. The dimer-ordering transition becomes a superfluid–Mott insulator quantum phase transition at fractional filling, described by an SU(2)-invariant continuum theory.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.155702
DOI:
10.1103/PhysRevLett.101.155702
PACS:
64.70.Tg, 64.60.Bd, 75.10.Hk