{"id":"W2244147859","doi":"10.1103/physrevlett.100.186807","title":"Many-Body Generalization of the<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Topological Invariant for the Quantum Spin Hall Effect","year":2008,"lang":"lv","type":"article","venue":"Physical Review Letters","topic":"Topological Materials and Phenomena","field":"Physics and Astronomy","cited_by":49,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Invariant (physics); Torus; Physics; Algorithm; Mathematical physics; Topology (electrical circuits); Computer science; Combinatorics; Geometry; Mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003292488,0.0003483443,0.000373199,0.0008546228,0.0007261587,0.001173967,0.0006739101,0.0007720036,0.004470646],"category_scores_gemma":[0.0003999017,0.00009955453,0.0009106616,0.0002607738,0.002146744,0.00151024,0.0008016095,0.000803634,0.0006750019],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000279755,"about_ca_system_score_gemma":0.0003365929,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002555353,"about_ca_topic_score_gemma":0.000426243,"domain_scores_codex":[0.9998541,0.00002697087,0.000008475939,0.00003403091,0.00004379592,0.00003274081],"domain_scores_gemma":[0.9997898,0.00003283207,0.00003852257,0.00007954516,0.00002644549,0.00003294278],"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":[0.000007432231,0.00002313122,0.0001311635,0.00001828105,0.000003989143,0.000105499,0.00006419885,0.0009215376,0.003189894,0.9923413,0.000733066,0.002460494],"study_design_scores_gemma":[0.0000165218,0.00007728508,0.0005751614,0.00001047214,0.000007971871,0.0002843039,0.00008011132,0.03967366,0.003523114,0.9513793,0.004336413,0.00003566386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3583491,0.0003578982,0.4659896,0.001483349,0.00156586,0.0001797646,0.0003076528,0.000657512,0.1711093],"genre_scores_gemma":[0.9463377,0.0001956256,0.03684371,0.0005088217,0.0003505005,0.00009183658,0.0001715113,0.000123389,0.0153769],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004470646,"threshold_uncertainty_score":0.01495582,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02160023109150534,"score_gpt":0.2604286918971694,"score_spread":0.2388284608056641,"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."}}