Gauge theory picture of an ordering transition in a dimer model

Details Gauge theory picture of an ordering transition in a dimer model Gauge theory picture of an ordering transition in a dimer model

2008-06-03

arxiv.org/abs/0806.0559v2

Phys. Rev. Lett. 101, 167205 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.101.167205

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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