Coulomb gas transitions in three-dimensional classical dimer models

Abstract

Close-packed, classical dimer models on three-dimensional, bipartite lattices harbor a Coulomb phase with power-law correlations at infinite temperature. Here, we discuss the nature of the thermal phase transition out of this Coulomb phase for a variety of dimer models which energetically favor crystalline dimer states with columnar ordering. For a family of these models we find a direct thermal transition from the Coulomb phase to the dimer crystal. While some systems exhibit (strong) first-order transitions in correspondence with the Landau-Ginzburg-Wilson paradigm, we also find clear numerical evidence for continuous transitions. A second family of models undergoes two consecutive thermal transitions with an intermediate paramagnetic phase separating the Coulomb phase from the dimer crystal. We can describe all of these phase transitions in one unifying framework of candidate field theories with two complex Ginzburg-Landau fields coupled to a U(1) gauge field. We derive the symmetry-mandated Ginzburg-Landau actions in these field variables for the various dimer models and discuss implications for their respective phase transitions.

15 pages, 19 figures

References in corpus (27)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• The ALPS project release 1.3: open source software for strongly correlated systems
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Dipolar spin correlations in classical pyrochlore magnets
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• The critical exponents of the superfluid transition in He4
• Coulomb and Liquid Dimer Models in Three Dimensions
• Power-law spin correlations in pyrochlore antiferromagnets
• Scaling in the Fan of an Unconventional Quantum Critical Point
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Classical dimers with aligning interactions on the square lattice
• On the origin of artificial electrodynamics and other stories in three-dimensional bosonic models
• Cluster Monte Carlo Algorithm for the Quantum Rotor Model
• Gauge theory picture of an ordering transition in a dimer model
• Quantum effects in a half-polarized pyrochlore antiferromagnet
• Unconventional continuous phase transition in a three dimensional dimer model
• Correlations and confinement in non-planar two-dimensional dimer models
• First-order phase transition in easy-plane quantum antiferromagnets
• Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid
• SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Universal amplitude ratios from numerical studies of the three-dimensional O(2) model
• Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
• Critical phenomena in a highly constrained classical spin system: Neel ordering from the Coulomb phase
• High-Temperature Criticality in Strongly Constrained Quantum Systems

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