{"paper":{"title":"A symmetry-respecting topologically-ordered surface phase of 3d electron topological insulators","arxiv_id":"1306.3286","primary_cat":"cond-mat.str-el","submitted_at":"2013-06-14T03:36:27+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"A 3d electron topological insulator (ETI) is a phase of matter protected by particle-number conservation and time-reversal symmetry.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.07,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.14,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.9,"id":"s1","own":false,"role":"background","text":"It was previously believed that the surface of an ETI must be gapless unless one of these symmetries is broken.","hedge":{"p":0.77,"label":"asserted"},"own_p":0.03,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.23,"role_probabilities":{"gap":0.1,"method":0.0,"result":0.0,"background":0.9,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":1.0,"id":"s2","own":false,"role":"background","text":"A well-known symmetry-preserving, gapless surface termination of an ETI supports an odd number of Dirac cones.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.02,"quantitative":true,"quantitative_p":0.86,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":3,"p":0.54,"id":"s3","own":true,"role":"contribution","text":"In this paper we deduce a symmetry-respecting, gapped surface termination of an ETI, which carries an intrinsic 2d topological order, Moore-Read x anti-semion.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.93,"quantitative":false,"quantitative_p":0.16,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.46,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.54,"interpretation":0.0}},{"i":4,"p":0.88,"id":"s4","own":true,"role":"result","text":"The Moore-Read sector supports non-Abelian charge 1/4 anyons, while the Abelian, anti-semion sector is electrically neutral.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.76,"main_claim_p":0.06,"quantitative":true,"quantitative_p":0.9,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.88,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.09}},{"i":5,"p":0.74,"id":"s5","own":true,"role":"result","text":"Time-reversal symmetry is implemented in this surface phase in a highly non-trivial way.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.79,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.74,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.23}},{"i":6,"p":0.89,"id":"s6","own":true,"role":"result","text":"Moreover, it is impossible to realize this phase strictly in 2d, simultaneously preserving its implementation of both the particle number and time-reversal symmetries.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.83,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.26,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.89,"background":0.0,"limitation":0.03,"future_work":0.0,"contribution":0.01,"interpretation":0.07}},{"i":7,"p":0.99,"id":"s7","own":true,"role":"result","text":"A 1d edge on the ETI surface between the topologically-ordered phase and the topologically trivial time-reversal-broken phase with a Hall conductivity sigma_H = 1/2, carries a right-moving neutral Majorana mode, a right-moving bosonic charge mode and a left-moving bosonic neutral mode.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.82,"main_claim_p":0.04,"quantitative":true,"quantitative_p":0.76,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":8,"p":0.97,"id":"s8","own":true,"role":"result","text":"The topologically-ordered phase is separated from the surface superconductor by a direct second order phase transition in the XY* universality class, which is driven by the condensation of a charge 1/2 boson, when approached from the topologically-ordered side, and proliferation of a flux 4\\pi-vortex, when approached from the superconducting 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