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The three-dimensional classical dimer model with interactions shows anunexpected continuous phase transition between an ordered dimer crystal and aCoulomb liquid. A detailed analysis of the critical dimer and monomercorrelation functions point to a subtle interplay between the fluctuations ofthe crystal order parameter and the "magnetic" degrees of freedom present inthe Coulomb phase. The distribution probability of the crystal order parametersuggests an emerging continuous O(3) symmetry at the critical point.

Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model