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

References in corpus (6)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Putting competing orders in their place near the Mott transition
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Interacting classical dimers on the square lattice
• Correlations and confinement in non-planar two-dimensional dimer models

Cited by in corpus (13)

• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• Classical dimers with aligning interactions on the square lattice
• Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
• Coulomb gas transitions in three-dimensional classical dimer models
• Gauge theory picture of an ordering transition in a dimer model
• 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
• Resonating singlet valence plaquettes
• Random trimer tilings
• 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
• Critical phenomena in a highly constrained classical spin system: Neel ordering from the Coulomb phase
• Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice