{"paper":{"title":"\"Self-Dual\" Quantum Critical Point on the surface of $3d$ Topological Insulator","arxiv_id":"1512.01547","primary_cat":"cond-mat.str-el","submitted_at":"2015-12-04T20:59:54+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 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 v2","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"In the last few years a lot of exotic and anomalous topological phases were constructed by proliferating the vortex like topological defects on the surface of the $3d$ topological insulator (TI).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.09,"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":0.99,"id":"s1","own":true,"role":"contribution","text":"In this work, rather than considering topological phases at the boundary, we will study quantum critical points driven by vortex like topological defects.","hedge":{"p":0.71,"label":"asserted"},"own_p":0.7,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.12,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.99,"interpretation":0.0}},{"i":2,"p":0.86,"id":"s2","own":false,"role":"method","text":"In general we will discuss a $(2+1)d$ quantum phase transition described by the following field theory: $\\mathcal{L} = \\bar{\\psi}\\gamma_\\mu (\\partial_\\mu - i a_\\mu) \\psi + |(\\partial_\\mu - i k a_\\mu)\\phi|^2 + r |\\phi|^2 + g |\\phi|^4$, with tuning parameter $r$, arbitrary integer $k$, Dirac fermion $\\psi$ and complex scalar bosonic field $\\phi$ which both couple to the same $(2+1)d$ dynamical noncompact U(1) gauge field $a_\\mu$.","hedge":{"p":0.89,"label":"asserted"},"own_p":0.37,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.65,"role_probabilities":{"gap":0.0,"method":0.86,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.14,"interpretation":0.0}},{"i":3,"p":0.41,"id":"s3","own":false,"role":"method","text":"The physical meaning of these quantities/fields will be explained in the text.","hedge":{"p":0.53,"label":"asserted"},"own_p":0.19,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.02,"role_probabilities":{"gap":0.02,"method":0.41,"result":0.0,"background":0.27,"limitation":0.02,"future_work":0.03,"contribution":0.08,"interpretation":0.17}},{"i":4,"p":0.98,"id":"s4","own":true,"role":"result","text":"We demonstrate that this quantum critical point has a quasi self-dual nature.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.65,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.01}},{"i":5,"p":0.53,"id":"s5","own":true,"role":"result","text":"And at this quantum critical point, various universal quantities such as the electrical conductivity, and scaling dimension of gauge invariant operators can be calculated systematically through a $1/k^2$ expansion, based on the observation that the limit $k \\rightarrow + \\infty$ corresponds to an ordinary $3d$ XY transition.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.92,"main_claim_p":0.3,"quantitative":true,"quantitative_p":0.83,"role_probabilities":{"gap":0.0,"method":0.27,"result":0.53,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.2,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.99,"text":"We demonstrate that this quantum critical point has a quasi self-dual nature.","location":"abstract s4","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":5217,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.05,"states_limitation":0.14,"human_participants":0.01,"controlled_comparison":0.05,"randomized_assignment":0.01,"states_quantitative_result":0.13,"compares_with_prior_results":0.46,"mentions_code_or_data_availability":0.01},"evidential_basis":{"p":0.99,"value":"proof or derivation","probabilities":{"argument":0.01,"literature":0.0,"proof_or_derivation":0.99,"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":0.62,"text":"In this work, rather than considering topological phases at the boundary, we will study quantum critical points driven by vortex like topological defects.","location":"abstract s1"}},"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 v2"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":6,"sentences_in_abstract":6},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}