{"id":"W2160049641","doi":"10.1103/physrevlett.96.257202","title":"Dynamical Spin Structure Factor for the Anisotropic Spin-<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Heisenberg Chain","year":2006,"lang":"lv","type":"article","venue":"Physical Review Letters","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":169,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Physics; Spin (aerodynamics); Ansatz; Anisotropy; Bethe ansatz; Field (mathematics); Condensed matter physics; Magnetic field; Mathematical physics; Quantum mechanics; Thermodynamics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0005840424,0.001320434,0.001145171,0.0001205842,0.001093658,0.0006820745,0.001888411,0.0007359077,0.0003284127],"category_scores_gemma":[0.0008707324,0.001323243,0.00238747,0.0006408182,0.0008874566,0.0005433581,0.0009625552,0.001734064,0.0004935832],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000939583,"about_ca_system_score_gemma":0.0003805264,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002892922,"about_ca_topic_score_gemma":0.0001069246,"domain_scores_codex":[0.9923695,0.0003512379,0.001824614,0.001653215,0.0019002,0.001901284],"domain_scores_gemma":[0.99389,0.001668452,0.001670452,0.002042718,0.0001687526,0.0005596682],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002303904,0.0003356069,0.000003208934,0.004111422,0.0008090759,0.00012215,0.0004984296,0.0003540898,0.002858195,0.977878,0.01075328,0.002046184],"study_design_scores_gemma":[0.003006551,0.001430472,0.0002172927,0.00583357,0.004529004,0.0003419053,0.0003081455,0.8751673,0.01235069,0.06148783,0.03239642,0.002930816],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9818728,0.005214317,0.003598263,0.004601646,0.00256904,0.0005505548,0.001116366,0.0002307911,0.000246254],"genre_scores_gemma":[0.983012,0.002105362,0.001934158,0.006135186,0.004899376,0.0006976716,0.0006385188,0.0005021731,0.00007551556],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9163901,"threshold_uncertainty_score":0.9999547,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0165982255029152,"score_gpt":0.2668833641378496,"score_spread":0.2502851386349345,"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."}}