Gauge theory picture of an ordering transition in a dimer model

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...

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Bibliographic Details
Published in:Physical review letters 2008-10, Vol.101 (16), p.167205-167205, Article 167205
Main Authors: Charrier, D, Alet, F, Pujol, P
Format: Article
Language:English
Subjects:
Condensed Matter
Other
Physics
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.101.167205