Unconventional continuous phase transition in a three dimensional dimer model

Abstract

Phase transitions occupy a central role in physics, due both to their experimental ubiquity and their fundamental conceptual importance. The explanation of universality at phase transitions was the great success of the theory formulated by Ginzburg and Landau, and extended through the renormalization group by Wilson. However, recent theoretical suggestions have challenged this point of view in certain situations. In this Letter we report the first large-scale simulations of a three-dimensional model proposed to be a candidate for requiring a description beyond the Landau-Ginzburg-Wilson framework: we study the phase transition from the dimer crystal to the Coulomb phase in the cubic dimer model. Our numerical results strongly indicate that the transition is continuous and are compatible with a tricritical universality class, at variance with previous proposals.

4 pages, 3 figures; v2: minor changes, published version

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• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Anderson localisation in tight-binding models with flat bands
• Classical dimers with aligning interactions on the square lattice
• Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
• Coulomb gas transitions in three-dimensional classical dimer models
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Gauge theory picture of an ordering transition in a dimer model
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
• Emergent SO(5) symmetry at the columnar ordering transition in the classical cubic dimer model
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• Finite-Temperature Phase Transition to a Quantum Spin Liquid in a Three-Dimensional Kitaev Model on a Hyperhoneycomb Lattice
• Scaling dimensions of higher-charge monopoles at deconfined critical points
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
• Entanglement in gapless resonating valence bond states
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Resonating singlet valence plaquettes
• Random trimer tilings
• Higgs transitions of spin ice
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Monte Carlo Study of a U(1)xU(1) system with π-statistical Interaction
• Coexistence of long-range and algebraic correlations for short-range valence-bond wave functions in three dimensions
• Critical behavior in the cubic dimer model at nonzero monomer density
• Monopole holes in a partially ordered spin liquid
• 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
• First- order versus unconventional phase transitions in three-dimensional dimer models
• Confinement of monopoles and scaling theory near unconventional critical points
• Unveiling the nature of three dimensional orbital ordering transitions: the case of $e_g$ and $t_{2g}$ models on the cubic lattice
• Bilayer Coulomb phase of two dimensional dimer models: Absence of power-law columnar order
• First order phase transitions in the square lattice "easy-plane" J-Q model
• Interacting double dimer model on the square lattice
• Universal monopole scaling near transitions from the Coulomb phase
• Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice
• Resummation-based Quantum Monte Carlo for Entanglement Entropy Computation
• Monte Carlo study of the critical properties of the three-dimensional 120-degree model
• Tunable critical correlations in kagome ice
• Synchronization transition in the double dimer model on the cubic lattice
• Quantum Kasteleyn transition
• Conventional description of Unconventional Coulomb-Crystal phase transitions in three-dimensional classical O(N) spin-ice
• Classical fully-packed loop model with attractive interactions on the square lattice
• Derivation of field theory for the classical dimer model using bosonization
• Trivalent network model for d${}^3$ transition metal dichalcogenides in the 1T structure: Holography from local constraints
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays
• Short-time critical dynamics in the classical cubic dimer model