Phys. Rev. B 80, 134413 (2009) [14 pages]Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer modelReceived 10 July 2009; revised 25 September 2009; published 15 October 2009 We study the transition between a Coulomb phase and a dimer crystal observed in numerical simulations of the three-dimensional classical dimer model, by mapping it to a quantum model of bosons in two dimensions. The quantum phase transition that results, from a superfluid to a Mott insulator at fractional filling, belongs to a class that cannot be described within the Landau-Ginzburg-Wilson paradigm. Using a second mapping, to a dual model of vortices, we show that the long-wavelength physics near the transition is described by a U(1) gauge theory with SU(2) matter fields. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.80.134413
DOI:
10.1103/PhysRevB.80.134413
PACS:
64.60.Bd, 64.70.Tg, 75.10.Hk
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