{"id":"W3048817219","doi":"10.1126/sciadv.abe9170","title":"Hyperbolic band theory","year":2021,"lang":"en","type":"article","venue":"Science Advances","topic":"Topological Materials and Phenomena","field":"Physics and Astronomy","cited_by":103,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan; University of Alberta","funders":"","keywords":"Riemann surface; Bloch wave; Physics; Bloch sphere; Riemann sphere; Quantum mechanics; Mathematics; Quantum; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001643517,0.00004894145,0.00007100649,0.00001210616,0.0001743327,0.0000694279,0.0001463036,0.000005178291,0.002475736],"category_scores_gemma":[0.0000129667,0.0000347895,0.00001971175,0.000211787,0.0003072127,0.0002708671,0.00004026604,0.00002828288,0.00006855789],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004091952,"about_ca_system_score_gemma":0.00005763748,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003585686,"about_ca_topic_score_gemma":3.899758e-7,"domain_scores_codex":[0.9994562,0.00001893195,0.00006511343,0.0001807969,0.00009894625,0.0001800058],"domain_scores_gemma":[0.9997382,0.00003105277,0.00002313501,0.0001193946,0.00003588221,0.00005238518],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003519376,0.00003629592,0.004734482,0.000002410727,0.000002242391,0.000001426104,0.00009237725,0.00002730216,0.2107703,0.7257943,0.000008013194,0.05852733],"study_design_scores_gemma":[0.00006955731,0.0000129701,0.004206426,0.000003776218,0.00000202137,6.190544e-7,0.0004021262,0.000001322204,0.3198685,0.6582196,0.01713656,0.00007651819],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8809232,0.0005329265,0.0006667483,0.0001328603,0.0003749394,0.00002412469,0.000008052457,0.00001478954,0.1173223],"genre_scores_gemma":[0.9983579,0.000004392471,0.0004964794,0.0001069573,0.0001713159,0.000004194008,0.0000011556,0.000001940194,0.000855674],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1174347,"threshold_uncertainty_score":0.9984362,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008823826276381981,"score_gpt":0.2654446097899604,"score_spread":0.2566207835135784,"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."}}