Critical behavior in the cubic dimer model at nonzero monomer density

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.

14 pages

References in corpus (12)

• "Deconfined" quantum 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
• Coulomb gas transitions in three-dimensional classical dimer models
• Gauge theory picture of an ordering transition in a dimer model
• Unconventional continuous phase transition in a three dimensional dimer model
• Correlations and confinement in non-planar two-dimensional dimer models
• Corrections to scaling in the critical theory of deconfined criticality
• SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
• Universal monopole scaling near transitions from the Coulomb phase

Cited by in corpus (21)

• Quantum criticality with two length scales
• Conformal Bootstrap Dashing Hopes of Emergent Symmetry
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Half-filled Landau levels: a continuum and sign-free regularization for 3D quantum critical points
• Emergent SO(5) symmetry at the columnar ordering transition in the classical cubic dimer model
• The $\mathrm{SO}(5)$ Deconfined Phase Transition under the Fuzzy Sphere Microscope: Approximate Conformal Symmetry, Pseudo-Criticality, and Operator Spectrum
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Scaling dimensions of higher-charge monopoles at deconfined critical points
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
• Phases of quantum dimers from ensembles of classical stochastic trajectories
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions
• Monopole holes in a partially ordered spin liquid
• Ferromagnetic Coulomb phase in classical spin ice
• A new series of 3D CFTs with $\mathrm{Sp}(N)$ global symmetry on fuzzy sphere
• First order phase transitions in the square lattice "easy-plane" J-Q model
• Tunable deconfined quantum criticality and interplay of different valence-bond solid phases
• Synchronization transition in the double dimer model on the cubic lattice
• Classical fully-packed loop model with attractive interactions on the square lattice
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Short-time critical dynamics in the classical cubic dimer model