{"id":"W2081449709","doi":"10.1063/1.4748527","title":"Ground-state spaces of frustration-free Hamiltonians","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph; University of Waterloo","funders":"National Science Foundation","keywords":"Frustration; Semilattice; Ground state; Regular polygon; Space (punctuation); Physics; Mathematics; Join (topology); Combinatorics; Pure mathematics; Quantum mechanics; Condensed matter physics; Geometry; Computer science","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":[0.0004975994,0.0003391897,0.000409938,0.00105041,0.0007164796,0.001282826,0.000717475,0.0003632211,0.003403965],"category_scores_gemma":[0.001550354,0.0001582943,0.000436737,0.0005012335,0.001789079,0.002260379,0.00105406,0.0007137093,0.0002789031],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006889238,"about_ca_system_score_gemma":0.0003030976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007018028,"about_ca_topic_score_gemma":0.0004666543,"domain_scores_codex":[0.999575,0.000141635,0.0000207195,0.00005896395,0.0001101377,0.0000935499],"domain_scores_gemma":[0.9992035,0.0003462764,0.0001397393,0.0001085017,0.0001086319,0.00009334398],"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":[0.00001165394,0.00001369417,0.0002881886,0.0000235866,0.000008557799,0.00004189764,0.0001974462,0.007291142,0.001660769,0.9884772,0.0002149616,0.001770865],"study_design_scores_gemma":[0.000009681438,0.00001997928,0.0003590406,0.000008040828,0.000004843233,0.00005538555,0.000126508,0.0726858,0.001376139,0.9242401,0.001101619,0.00001290793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7812536,0.0005943375,0.1928497,0.0005618403,0.00002805004,0.00003657682,0.0002658113,0.0001139374,0.02429619],"genre_scores_gemma":[0.9875425,0.0001427382,0.01028812,0.00004337975,0.0000305383,0.00003139575,0.0001594286,0.00003198552,0.001730024],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003403965,"threshold_uncertainty_score":0.01138741,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01971931497850713,"score_gpt":0.2623561403517172,"score_spread":0.2426368253732101,"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."}}