Critical behavior in the cubic dimer model at nonzero monomer density

We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a Coulomb phase to a dimer crystal. Monomers act as charges (or m...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014, Vol.89 (1), p.014404, Article 014404
Main Authors: Sreejith, G. J., Powell, Stephen
Format: Article
Language:English
Subjects:
Computer simulation
Condensed matter
Coulomb friction
Critical point
Density
Dimers
Ising-Model
Monomers
Phase transformations
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Summary:We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a Coulomb phase to a dimer crystal. Monomers act as charges (or monopoles) in the Coulomb phase and, at nonzero density, lead to a standard Landau-type transition. We use large-scale Monte Carlo simulations to study the system in the neighborhood of the critical point, and find results in agreement with detailed predictions of scaling theory. Going beyond previous studies of the transition in the absence of monomers, we explicitly confirm the distinction between conventional and unconventional criticality, and quantitatively demonstrate the crossover between the two. Our results also provide additional evidence for the theoretical claim that the transition in the CDM belongs in the same universality class as the deconfined quantum critical point in the SU(2) JQ model.
ISSN:1098-0121
1550-235X
1550-235X
DOI:10.1103/PhysRevB.89.014404