2017/12/31 by Debasish Banerjee, D. Banerjee, F. -J. Jiang +6 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Delocalized electron #Disjoint sets #Ising model #Lattice (music) #Mathematical physics #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el #hep-lat
paper · pdf · doi:10.1103/physrevb.97.205108
published as Phys. Rev. B 97, 205108 (2018) · 16 pages, 20 figures, 2 tables, two more relevant references and one short paragraph are added
arxiv created 2018/01/03 · openalex created_date 2018/01/05 · openalex publication_date 2018/05/09 · arxiv updated 2018/05/16 · openalex updated_date 2026/08/05
We consider the (2+1)-dimensional SU(2) quantum link model on the honeycomb lattice and show that it is equivalent to a quantum dimer model on the kagome lattice. The model has crystalline confined phases with spontaneously broken translation invariance associated with pinwheel order, which is investigated with either a Metropolis or an efficient cluster algorithm. External half-integer non-Abelian charges [which transform nontrivially under the ℤ(2) center of the SU(2) gauge group] are confined to each other by fractionalized strings with a delocalized ℤ(2) flux. The strands of the fractionalized flux strings are domain walls that separate distinct pinwheel phases. A second-order phase transition in the three-dimensional Ising universality class separates two confining phases: one with correlated pinwheel orientations, and the other with uncorrelated pinwheel orientations.