{"paper":{"title":"Gapped Symmetry Preserving Surface-State for the Electron Topological Insulator","arxiv_id":"1306.3223","primary_cat":"cond-mat.str-el","submitted_at":"2013-06-13T20:00:01+00:00","version_compiled":"v3"},"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 v3","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"It is well known that the 3D electronic topological insulator (TI) with charge-conservation and time-reversal symmetry cannot have a trivial insulating surface that preserves symmetry.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.03,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.19,"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":0.92,"id":"s1","own":false,"role":"background","text":"It is often implicitly assumed that if the TI surface preserves both symmetries then it must be gapless.","hedge":{"p":0.62,"label":"asserted"},"own_p":0.03,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.08,"method":0.0,"result":0.0,"background":0.92,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.8,"id":"s2","own":true,"role":"result","text":"Here we show that it is possible for the TI surface to be both gapped and symmetry-preserving, at the expense of having surface-topological order.","hedge":{"p":0.73,"label":"asserted"},"own_p":0.94,"main_claim_p":0.91,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.8,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.2,"interpretation":0.0}},{"i":3,"p":0.97,"id":"s3","own":true,"role":"result","text":"In contrast to analogous bosonic topological insulators, this symmetric surface topological order is intrinsically non-Abelian.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.76,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.36,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.97,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.02}},{"i":4,"p":0.96,"id":"s4","own":true,"role":"interpretation","text":"We show that the surface-topological order provides a complete non-perturbative definition of the electron TI that transcends a free-particle band-structure picture, and could provide a useful perspective for studying strongly correlated topological Mott insulators.","hedge":{"p":0.65,"label":"asserted"},"own_p":0.9,"main_claim_p":0.21,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.01,"contribution":0.01,"interpretation":0.96}}]},"compiled":{"main_claim":{"p":1.0,"text":"Here we show that it is possible for the TI surface to be both gapped and symmetry-preserving, at the expense of having surface-topological order.","location":"abstract s2","hedge_strength":{"p":0.73,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":4351,"cost_usd_reported":0.000183},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13-20260917","abstract_states":{"claims_first":0.09,"states_limitation":0.34,"human_participants":0.02,"controlled_comparison":0.08,"randomized_assignment":0.01,"states_quantitative_result":0.03,"compares_with_prior_results":0.88,"mentions_code_or_data_availability":0.01},"evidential_basis":{"p":0.72,"value":"proof or derivation","probabilities":{"argument":0.28,"literature":0.0,"proof_or_derivation":0.72,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":1.0,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":1.0,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":1.0,"text":"Here we show that it is possible for the TI surface to be both gapped and symmetry-preserving, at the expense of having surface-topological order.","location":"abstract s2"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v3"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":5,"sentences_in_abstract":5},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; 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