Critical behavior in the cubic dimer model at nonzero monomer density

2013/11/11 by G. J. Sreejith, Stephen Powell · 23 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Coulomb #Critical exponent #Critical point (mathematics) #Crossover #Dimer #Geometry #Mathematics #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization group #Scaling #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.89.014404

published in Physical Review B 89(1) (American Physical Society) · 14 pages

arxiv created 2013/11/11 · openalex publication_date 2014/01/06 · arxiv updated 2014/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Confinement of monopoles and scaling theory near unconventional critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for Deconfined Quantum Criticality in a Two-Dimensional Heisenberg Model with Four-Spin Interactions
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Gauge Theory Picture of an Ordering Transition in a Dimer Model
• Deconfined Criticality Flow in the Heisenberg Model with Ring-Exchange Interactions
• SU(2)-Invariant Continuum Theory for an Unconventional Phase Transition in a Three-Dimensional Classical Dimer Model
• Continuous Quantum Phase Transition between an Antiferromagnet and a Valence-Bond Solid in Two Dimensions: Evidence for Logarithmic Corrections to Scaling
• Deconfined Quantum Critical Points