Critical behavior in the cubic dimer model at nonzero monomer density

Sreejith, G.J.; Powell, Stephen

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.

Citation

Sreejith, G., & Powell, S. (2014). Critical behavior in the cubic dimer model at nonzero monomer density. Physical Review B, 89(1), Article 014404. https://doi.org/10.1103/PhysRevB.89.014404

• Journal Article Type: Article
• Acceptance Date: Dec 16, 2013
• Publication Date: Jan 6, 2014
• Deposit Date: Jul 7, 2016
• Publicly Available Date: Jul 7, 2016
• 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
• DOI: https://doi.org/10.1103/PhysRevB.89.014404
• Public URL: https://nottingham-repository.worktribe.com/output/722205
• Publisher URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.014404
• Additional Information: Critical behavior in the cubic dimer model at nonzero monomer density, G.J. Sreejith and Stephen Powell, Phys. Rev. B 89, 014404
• Contract Date: Jul 7, 2016