{"id":"W4416138751","doi":"10.48550/arxiv.2506.05319","title":"Landau-Ginzburg Paradigm of Topological Phases","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Topological Materials and Phenomena","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Institut Périmètre de physique théorique; Science and Technology Commission of Shanghai Municipality; National Natural Science Foundation of China; Government of Canada","keywords":"Anyon; Topological quantum computer; Gauge theory; Lattice gauge theory; Toric code; Hamiltonian lattice gauge theory; Topological quantum number; Topological order; Topology (electrical circuits); Topological defect","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004755144,0.0002654304,0.0002780267,0.0007415331,0.0007897523,0.001574032,0.0007021922,0.000823647,0.003037904],"category_scores_gemma":[0.0006572248,0.0001302853,0.0003925362,0.0002468814,0.002928948,0.002878132,0.0008851709,0.0009578587,0.0003435071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008238393,"about_ca_system_score_gemma":0.000591551,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004139005,"about_ca_topic_score_gemma":0.0004761474,"domain_scores_codex":[0.9997912,0.00006529328,0.000008583838,0.00002774469,0.00006743918,0.00003968892],"domain_scores_gemma":[0.9997805,0.00004895572,0.00003151696,0.00006292103,0.00003762331,0.00003847738],"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":[0.000002267289,0.000003086099,0.00002554271,0.000004843415,4.977012e-7,0.00001327771,0.00002898249,0.0002161648,0.0005896834,0.9986884,0.00009188351,0.000335377],"study_design_scores_gemma":[0.000008254601,0.00001017662,0.00006268082,0.000004657072,0.00000137579,0.0000463557,0.00003332139,0.008042598,0.0008703806,0.9892463,0.001670019,0.000003859968],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4685524,0.001428667,0.2526354,0.005481031,0.0006337902,0.0002147535,0.0003389346,0.0005736065,0.2701413],"genre_scores_gemma":[0.9635778,0.0002935386,0.02527757,0.0002829299,0.0001356793,0.0001104547,0.00006263032,0.00004859949,0.01021076],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003037904,"threshold_uncertainty_score":0.01016277,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04897568865358903,"score_gpt":0.3059788612642473,"score_spread":0.2570031726106582,"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."}}