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

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

2009-07-09

arxiv.org/abs/0907.1564v3

Phys. Rev. B 80, 134413 (2009)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 5 figures; v2: added appendix

Scientific paper

10.1103/PhysRevB.80.134413

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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