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arXiv · 0805.3698

SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model

Stephen Powell·J. T. Chalker
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Abstract

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.

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Stephen Powell, J. T. Chalker. 2008-09-13. SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model. https://doi.org/10.1103/physrevlett.101.155702

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