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Critical behavior in the cubic dimer model at nonzero monomer density

Sreejith, G.J.; Powell, Stephen

Authors

G.J. Sreejith

Stephen Powell



Abstract

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 acts 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.

Journal Article Type Article
Publication Date Jan 6, 2014
Journal Physical Review B
Print ISSN 2469-9950
Electronic ISSN 2469-9969
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 89
Issue 1
Article Number 014404
APA6 Citation Sreejith, G., & Powell, S. (2014). Critical behavior in the cubic dimer model at nonzero monomer density. Physical Review B, 89(1), doi:10.1103/PhysRevB.89.014404
DOI https://doi.org/10.1103/PhysRevB.89.014404
Publisher URL https://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.014404
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Critical behavior in the cubic dimer model at nonzero monomer density, G.J. Sreejith and Stephen Powell, Phys. Rev. B 89, 014404

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1311.1444v2.pdf (1.7 Mb)
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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