{"doi":"10.1103/physreva.100.063627","title":"Leading- and next-to-leading-order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions","abstract":null,"journal":"Physical Review A","year":2019,"id":677360,"datarank":0.3596842909197557,"base_score":2.3978952727983707,"endowment":2.3978952727983707,"self_citation_contribution":0.3596842909197557,"citation_network_contribution":0.0,"self_endowment_contribution":0.3596842909197557,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":10,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":1,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1769840,"name":"A. J. Czejdo","orcid":null,"position":1,"is_corresponding":false},{"id":1088572,"name":"Jared De Chant","orcid":"0000-0002-9914-4631","position":2,"is_corresponding":false},{"id":1769841,"name":"C. R. Shill","orcid":null,"position":3,"is_corresponding":false},{"id":1769843,"name":"J. E. Drut","orcid":"0000-0002-7412-7165","position":4,"is_corresponding":false},{"id":539152,"name":"Y. Hou","orcid":"0000-0001-7886-8772","position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Leading- and next-to-leading-order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions","abstract":"Following up on recent calculations, we investigate the leading- and next-to-leading-order semiclassical approximation to the virial coefficients of a two-species fermion system with a contact interaction. Using the analytic result for the second-order virial coefficient as a renormalization condition, we derive expressions for up to the seventh-order virial coefficient $\\mathrm{\\ensuremath{\\Delta}}{b}_{7}$. Our results at leading order, though approximate, furnish simple analytic formulas that relate $\\mathrm{\\ensuremath{\\Delta}}{b}_{n}$ to $\\mathrm{\\ensuremath{\\Delta}}{b}_{2}$ for arbitrary dimension, providing a glimpse into the behavior of the virial expansion across dimensions and coupling strengths. As an application, we calculate the pressure and Tan's contact of the two-dimensional attractive Fermi gas and examine the radius of convergence of the virial expansion as a function of the coupling strength.","is_dataset_classified":null,"base_score":2.3978952727983707,"endowment":2.3978952727983707,"datacite_reuse_total":1,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21097893","pmcid":null,"openalex_id":"https://openalex.org/W3106858908","authors":[],"funders":[{"funder_name":"National Science Foundation","grant_id":"PHY1452635","title":null},{"funder_name":"National Science Foundation","grant_id":"1452635","title":"CAREER: Entanglement, Pairing and Superfluidity at the Interface between Atomic and Nuclear Physics."}],"total_grants":2,"fwci":1.3972,"citation_percentile":0.81467434,"influential_citations":0,"citation_trend":[{"year":2020,"count":5},{"year":2021,"count":2},{"year":2022,"count":2},{"year":2023,"count":1}],"oa_status":"green","license":"APS Licenses for Journal Article Re-use","oa_locations":[{"url":"https://arxiv.org/pdf/1907.10120","host_type":"repository"},{"url":"https://arxiv.org/pdf/1907.10120","host_type":"repository"},{"url":"https://link.aps.org/article/10.1103/PhysRevA.100.063627","host_type":"publisher"},{"url":"http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevA.100.063627/fulltext","host_type":"publisher"},{"url":"http://arxiv.org/abs/1907.10120","host_type":"repository"},{"url":"https://doi.org/10.1103/physreva.100.063627","host_type":"journal"},{"url":"http://arxiv.org/pdf/1907.10120","host_type":""},{"url":"https://dx.doi.org/10.48550/arxiv.1907.10120","host_type":""},{"url":"https://dx.doi.org/10.17615/8wj4-4s89","host_type":""},{"url":"https://dx.doi.org/10.1103/physreva.100.063627","host_type":""}],"fields_of_study":["Physics of Superconductivity and Magnetism","Cold Atom Physics and Bose-Einstein Condensates","Quantum and electron transport phenomena","0103 physical sciences","01 natural sciences"],"mesh_terms":[],"keywords":["Virial coefficient","Semiclassical physics","Virial theorem","Virial expansion","Physics","Fermion","Order (exchange)","Radius of convergence","RADIUS","Coupling (piping)","Spin (aerodynamics)","Mathematical physics","Virial mass","Coupling constant","Quantum mechanics","Quantum electrodynamics","Mathematics","Thermodynamics","Mathematical analysis","Materials science","Quantum","Quantum Gases (cond-mat.quant-gas)","FOS: Physical sciences","Condensed Matter - Quantum Gases"],"sdg_mappings":[],"linked_datasets":[{"doi":"10.48550/arxiv.1907.10120","title":"Leading- and next-to-leading order semiclassical approximation to the first seven virial coefficients of spin-1/2 fermions across spatial dimensions","publisher":"arXiv","resource_type":"Text"}],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-17T04:01:16.068924Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}