2008/06/30 by D. Charrier, Fabien Alet, F. Alet +2 · 3 citations
Mathematics · Physics and Astronomy · #Classical XY model #Condensed matter physics #Coulomb #Dimer #Duality (order theory) #Frustration #Gauge boson #Gauge theory #Higgs boson #Higgs mechanism #Lattice (music) #Lattice field theory #Lattice gauge theory #Lattice model (finance) #Mathematics #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Theoretical and Computational Physics #Theoretical physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.101.167205
published as Phys. Rev. Lett. 101, 167205 (2008) · 4 pages, 4 figures
openalex publication_date 2008/10/16 · arxiv created 2008/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.