{"id":"W2008273591","doi":"10.1103/physrevb.75.081101","title":"Exact Green’s functions for the two-site Hubbard-Holstein Hamiltonian","year":2007,"lang":"en","type":"article","venue":"Physical Review B","topic":"Physics of Superconductivity and Magnetism","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bipolaron; Hamiltonian (control theory); Phase diagram; Polaron; Crossover; Hubbard model; Physics; Condensed matter physics; Statistical physics; Quantum mechanics; Phase (matter); Superconductivity; Mathematics; Computer science; Electron","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":[0.0004344626,0.0005716215,0.0005667617,0.0009205912,0.00078242,0.0008481967,0.001167106,0.001371278,0.006153835],"category_scores_gemma":[0.001018285,0.0002593822,0.0006444148,0.0008323174,0.001010553,0.002102691,0.0005463957,0.0008139023,0.001580024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009071265,"about_ca_system_score_gemma":0.001058346,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003270338,"about_ca_topic_score_gemma":0.005061658,"domain_scores_codex":[0.9998627,0.00003000208,0.000006376235,0.00001101273,0.0000566104,0.00003336597],"domain_scores_gemma":[0.9998003,0.00004646612,0.00001488955,0.0000656303,0.00005405123,0.00001864559],"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":[0.00000674036,0.00001786489,0.0001079334,0.00006899516,0.000008556835,0.0001284984,0.00008605712,0.04265137,0.00181188,0.9460383,0.002030937,0.007042921],"study_design_scores_gemma":[0.00001060644,0.000005423247,0.0001509262,0.00002352334,0.000004286853,0.0001221841,0.00004885864,0.1283168,0.0005876158,0.8678389,0.002874423,0.00001656871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1594622,0.001808178,0.702808,0.001385376,0.0004776519,0.0001162311,0.001154753,0.0005135685,0.1322741],"genre_scores_gemma":[0.8419794,0.001877643,0.1114326,0.0005889629,0.0001466438,0.0001789653,0.0009245221,0.000337122,0.04253411],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006153835,"threshold_uncertainty_score":0.02058661,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02431488052521813,"score_gpt":0.3150536612930895,"score_spread":0.2907387807678714,"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."}}