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arXiv · 0907.1564

Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model

Stephen Powell·J. T. Chalker
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Abstract

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.

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Stephen Powell, J. T. Chalker. 2009-10-16. Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model. https://doi.org/10.1103/physrevb.80.134413

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