Critical behavior in the cubic dimer model at nonzero monomer density

G. J. Sreejith and Stephen Powell
Phys. Rev. B 89, 014404 – Published 6 January 2014

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 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.

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  • Received 12 November 2013

DOI:https://doi.org/10.1103/PhysRevB.89.014404

©2014 American Physical Society

Authors & Affiliations

G. J. Sreejith1 and Stephen Powell1,2

  • 1Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden
  • 2School of Physics and Astronomy, The University of Nottingham, Nottingham, NG7 2RD, United Kingdom

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Vol. 89, Iss. 1 — 6 January 2014

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