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arXiv · 0806.0559

Gauge theory picture of an ordering transition in a dimer model

D. Charrier·F. Alet·P. Pujol
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Abstract

We study a phase transition in a 3D lattice gauge theory, a "coarse-grained" version of a classical dimer model. Duality arguments indicate that the dimer lattice theory should be dual to a XY model coupled to a gauge field with geometric frustration. The transition between a Coulomb phase with dipolar correlations and a long range ordered columnar phase is understood in terms of a Higgs mechanism. Monte Carlo simulations of the dual model indicate a continuous transition with exponents close but apparently different from those of the 3d XY model. The continuous nature of the transition is confirmed by a flowgram analysis.

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D. Charrier, F. Alet, P. Pujol. 2008-11-30. Gauge theory picture of an ordering transition in a dimer model. https://doi.org/10.1103/physrevlett.101.167205

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