{"id":"W2003095492","doi":"10.1103/physrevb.87.155114","title":"Symmetry protected topological orders and the group cohomology of their symmetry group","year":2013,"lang":"en","type":"article","venue":"Physical Review B","topic":"Topological Materials and Phenomena","field":"Physics and Astronomy","cited_by":1366,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"Division of Materials Research; Institut Périmètre de physique théorique; Industry Canada; National Natural Science Foundation of China; Government of Canada; National Science Foundation","keywords":"Physics; Topological insulator; Degenerate energy levels; Homogeneous space; Sigma model; Global symmetry; Symmetry protected topological order; Symmetry group; Topological order; Lattice (music); Quantum mechanics; Mathematical physics; Topology (electrical circuits); Nonlinear system; Symmetry breaking; Quantum; Spontaneous symmetry breaking; Geometry; Combinatorics; Mathematics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01058391031529197,"score_gpt":0.2509379146303735,"score_spread":0.2403540043150815,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}