Gauge theory picture of an ordering transition in a dimer model

Abstract

We study a phase transition in a 3D lattice gauge theory, a "coarse-grained" version of a classical dimer model. Duality arguments indicate that the dimer lattice theory should be dual to a XY model coupled to a gauge field with geometric frustration. The transition between a Coulomb phase with dipolar correlations and a long range ordered columnar phase is understood in terms of a Higgs mechanism. Monte Carlo simulations of the dual model indicate a continuous transition with exponents close but apparently different from those of the 3d XY model. The continuous nature of the transition is confirmed by a flowgram analysis.

4 pages, 4 figures

References in corpus (9)

• "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
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Unconventional continuous phase transition in a three dimensional dimer model
• First-order phase transition in easy-plane quantum antiferromagnets
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
• Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice

Cited by in corpus (21)

• Coherent and dissipative dynamics at quantum phase transitions
• Deconfined quantum critical point in one dimension
• Coulomb gas transitions in three-dimensional classical dimer models
• Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
• Location of the Potts-critical end point in the frustrated Ising model on the square lattice
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Universal monopole scaling near transitions from the Coulomb phase
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions
• Classical fully-packed loop model with attractive interactions on the square lattice
• Deconfined pseudocriticality in a model spin-1 quantum antiferromagnet
• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions
• Short-time critical dynamics in the classical cubic dimer model