2015/04/30 by G. J. Sreejith, G J Sreejith, Stephen Powell · 39 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Charge (physics) #Condensed matter physics #Critical phenomena #Critical point (mathematics) #Dimer #Gauge theory #Geometry #Higgs boson #Lattice (music) #Lattice gauge theory #Magnetic monopole #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum field theory #Quantum mechanics #Renormalization group #Scaling #Scaling dimension #Theoretical and Computational Physics #Theoretical physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.92.184413
published in Physical Review B 92(18) (American Physical Society)
arxiv created 2015/10/22 · openalex publication_date 2015/11/17 · arxiv updated 2015/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The classical cubic dimer model has a columnar ordering transition that is continuous and described by a critical Anderson-Higgs theory containing an SU(2)-symmetric complex field minimally coupled to a noncompact U(1) gauge theory. Defects in the dimer constraints correspond to monopoles of the gauge theory, with charge determined by the deviation from unity of the dimer occupancy. By introducing such defects into Monte Carlo simulations of the dimer model at its critical point, we determine the scaling dimensions y2=1.48\ifmmode±\else\textpm\fi0.07 and y3=0.20\ifmmode±\else\textpm\fi0.03 for the operators corresponding to defects of charge q=2 and 3, respectively. These results, which constitute the first direct determination of the scaling dimensions, shed light on the deconfined critical point of spin-(1)/(2) quantum antiferromagnets, thought to belong to the same universality class. In particular, the positive value of y3 implies that the transition in the JQ model on the honeycomb lattice is of first order.