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

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

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...

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Hlavní autoři: Powell, S, Chalker, J
Médium: Journal article
Jazyk:English
Vydáno: 2008
Popis
Shrnutí: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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