2013/02/12 by Ling-Yan Hung, Yidun Wan · 62 citations
Mathematics · Physics and Astronomy · #Anyon #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Geometry #Global symmetry #Homogeneous space #Mathematics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Symmetry group #Theoretical physics #Topological Materials and Phenomena #Topological quantum computer #Topology (electrical circuits) #cond-mat.str-el #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.87.195103
published in Physical Review B 87(19) (American Physical Society) · 24 pages
arxiv created 2013/02/12 · openalex publication_date 2013/05/03 · arxiv updated 2013/05/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct in the K matrix formalism concrete examples of symmetry-enriched topological phases, namely intrinsically topological phases with global symmetries. We focus on the Abelian and nonchiral topological phases and demonstrate by our examples how the interplay between the global symmetry and the fusion algebra of the anyons of a topologically ordered system determines the existence of gapless edge modes protected by the symmetry and that a (quasi)group structure can be defined among these phases. Our examples include phases that display charge fractionalization and more exotic nonlocal anyon exchange under global symmetry that correspond to general group extensions of the global symmetry group.