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 acts as charges (or...
| Main Authors: | , |
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| Format: | Article |
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American Physical Society
2014
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| Online Access: | https://eprints.nottingham.ac.uk/34676/ |
| _version_ | 1848794908988538880 |
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| author | Sreejith, G.J. Powell, Stephen |
| author_facet | Sreejith, G.J. Powell, Stephen |
| author_sort | Sreejith, G.J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:23:40Z |
| format | Article |
| id | nottingham-34676 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:40Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-346762020-05-04T16:42:10Z https://eprints.nottingham.ac.uk/34676/ Critical behavior in the cubic dimer model at nonzero monomer density Sreejith, G.J. Powell, Stephen 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. American Physical Society 2014-01-06 Article PeerReviewed Sreejith, G.J. and Powell, Stephen (2014) Critical behavior in the cubic dimer model at nonzero monomer density. Physical Review B, 89 (1). 014404/1-014404/14. ISSN 2469-9969 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.014404 doi:10.1103/PhysRevB.89.014404 doi:10.1103/PhysRevB.89.014404 |
| spellingShingle | Sreejith, G.J. Powell, Stephen Critical behavior in the cubic dimer model at nonzero monomer density |
| title | Critical behavior in the cubic dimer model at nonzero monomer density |
| title_full | Critical behavior in the cubic dimer model at nonzero monomer density |
| title_fullStr | Critical behavior in the cubic dimer model at nonzero monomer density |
| title_full_unstemmed | Critical behavior in the cubic dimer model at nonzero monomer density |
| title_short | Critical behavior in the cubic dimer model at nonzero monomer density |
| title_sort | critical behavior in the cubic dimer model at nonzero monomer density |
| url | https://eprints.nottingham.ac.uk/34676/ https://eprints.nottingham.ac.uk/34676/ https://eprints.nottingham.ac.uk/34676/ |