BCS theory tested in an exactly solvable fermion fluid
Remarkably the one-dimensional (1D) many-fermion fluid with pairwise-attractive [delta]-function interactions is exactly solvable in that one can determine the exact many-body ground-state energy and chemical potential for all values of the coupling strength and/or density. Bardeen-Cooper-Schrieffer...
Gespeichert in:
| Veröffentlicht in: | Physical review. B, Condensed matter Condensed matter, 1993-05, Vol.47 (17), p.11512-11514 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 11514 |
|---|---|
| container_issue | 17 |
| container_start_page | 11512 |
| container_title | Physical review. B, Condensed matter |
| container_volume | 47 |
| creator | QUICK, R. M ESEBBAG, C DE LLANO, M |
| description | Remarkably the one-dimensional (1D) many-fermion fluid with pairwise-attractive [delta]-function interactions is exactly solvable in that one can determine the exact many-body ground-state energy and chemical potential for all values of the coupling strength and/or density. Bardeen-Cooper-Schrieffer (BCS) theory is tested in this model by numerically determining the BCS total ground-state energy and chemical potential as a function of the coupling strength and/or density, and comparing with the exact results. As is the case for 2D and 3D theories, two regimes are apparent: (a) a BCS-proper regime of weakly coupled, overlapping Cooper pairs and (b) a Bose-gas regime of strongly interacting fermions which pair to form an ideal Bose gas at low density. In the two extremes the BCS energy and chemical potential are identical to the exact values and are moderately close for intermediate coupling and/or density. |
| doi_str_mv | 10.1103/PhysRevB.47.11512 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_6647770</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1859199047</sourcerecordid><originalsourceid>FETCH-LOGICAL-c355t-baddfdb1e4b53e6fc20b482e6a7766f547080a7fee8a09473f18d10ef02dad153</originalsourceid><addsrcrecordid>eNpNkEtLxDAQx4Mo7rr6AbxIEQ9euiZtHs3RXXzBguLjHNJkwlb6WJN2sd_ealdxLjMMv_nD_BA6JXhOCE6vntZ9eIbtYk7FsGAk2UNTgiWLUyHZPppiwtOYZImcoKMQ3vFQCZeHaEKGiSVSTBFfLF-idg2N76MWQgs2KupI1xF8atOWfRSacqvzEiIHviqaOnJlV9hjdOB0GeBk12fo7fbmdXkfrx7vHpbXq9ikjLVxrq11NidAc5YCdybBOc0S4FoIzh2jAmdYCweQaSypSB3JLMHgcGK1JSydofMxtwltoYIpWjBr09Q1mFZxToUQeIAuR2jjm49ueEJVRTBQlrqGpguKZEwSKfGQP0NkRI1vQvDg1MYXlfa9Ilh9O1W_ThUV6sfpcHO2i-_yCuy_i1HiAFzsAB2MLp3XtSnCH0cFlSLj6ReqJ39U</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1859199047</pqid></control><display><type>article</type><title>BCS theory tested in an exactly solvable fermion fluid</title><source>American Physical Society Journals</source><creator>QUICK, R. M ; ESEBBAG, C ; DE LLANO, M</creator><creatorcontrib>QUICK, R. M ; ESEBBAG, C ; DE LLANO, M</creatorcontrib><description>Remarkably the one-dimensional (1D) many-fermion fluid with pairwise-attractive [delta]-function interactions is exactly solvable in that one can determine the exact many-body ground-state energy and chemical potential for all values of the coupling strength and/or density. Bardeen-Cooper-Schrieffer (BCS) theory is tested in this model by numerically determining the BCS total ground-state energy and chemical potential as a function of the coupling strength and/or density, and comparing with the exact results. As is the case for 2D and 3D theories, two regimes are apparent: (a) a BCS-proper regime of weakly coupled, overlapping Cooper pairs and (b) a Bose-gas regime of strongly interacting fermions which pair to form an ideal Bose gas at low density. In the two extremes the BCS energy and chemical potential are identical to the exact values and are moderately close for intermediate coupling and/or density.</description><identifier>ISSN: 0163-1829</identifier><identifier>EISSN: 1095-3795</identifier><identifier>DOI: 10.1103/PhysRevB.47.11512</identifier><identifier>PMID: 10005297</identifier><identifier>CODEN: PRBMDO</identifier><language>eng</language><publisher>Woodbury, NY: American Physical Society</publisher><subject>ANALYTICAL SOLUTION ; BCS THEORY ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; Condensed matter: electronic structure, electrical, magnetic, and optical properties ; COUPLING CONSTANTS ; DENSITY ; ELECTRIC CONDUCTIVITY ; ELECTRICAL PROPERTIES ; ENERGY LEVELS ; Exact sciences and technology ; FERMI GAS ; FLUIDS ; GASES ; GROUND STATES ; MANY-BODY PROBLEM ; ONE-DIMENSIONAL CALCULATIONS ; PHYSICAL PROPERTIES 665411 -- Basic Superconductivity Studies-- (1992-) ; Physics ; SUPERCONDUCTIVITY ; Theory and models of superconducting state</subject><ispartof>Physical review. B, Condensed matter, 1993-05, Vol.47 (17), p.11512-11514</ispartof><rights>1993 INIST-CNRS</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c355t-baddfdb1e4b53e6fc20b482e6a7766f547080a7fee8a09473f18d10ef02dad153</citedby><cites>FETCH-LOGICAL-c355t-baddfdb1e4b53e6fc20b482e6a7766f547080a7fee8a09473f18d10ef02dad153</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,2874,2875,27923,27924</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4749786$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/10005297$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/6647770$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>QUICK, R. M</creatorcontrib><creatorcontrib>ESEBBAG, C</creatorcontrib><creatorcontrib>DE LLANO, M</creatorcontrib><title>BCS theory tested in an exactly solvable fermion fluid</title><title>Physical review. B, Condensed matter</title><addtitle>Phys Rev B Condens Matter</addtitle><description>Remarkably the one-dimensional (1D) many-fermion fluid with pairwise-attractive [delta]-function interactions is exactly solvable in that one can determine the exact many-body ground-state energy and chemical potential for all values of the coupling strength and/or density. Bardeen-Cooper-Schrieffer (BCS) theory is tested in this model by numerically determining the BCS total ground-state energy and chemical potential as a function of the coupling strength and/or density, and comparing with the exact results. As is the case for 2D and 3D theories, two regimes are apparent: (a) a BCS-proper regime of weakly coupled, overlapping Cooper pairs and (b) a Bose-gas regime of strongly interacting fermions which pair to form an ideal Bose gas at low density. In the two extremes the BCS energy and chemical potential are identical to the exact values and are moderately close for intermediate coupling and/or density.</description><subject>ANALYTICAL SOLUTION</subject><subject>BCS THEORY</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>Condensed matter: electronic structure, electrical, magnetic, and optical properties</subject><subject>COUPLING CONSTANTS</subject><subject>DENSITY</subject><subject>ELECTRIC CONDUCTIVITY</subject><subject>ELECTRICAL PROPERTIES</subject><subject>ENERGY LEVELS</subject><subject>Exact sciences and technology</subject><subject>FERMI GAS</subject><subject>FLUIDS</subject><subject>GASES</subject><subject>GROUND STATES</subject><subject>MANY-BODY PROBLEM</subject><subject>ONE-DIMENSIONAL CALCULATIONS</subject><subject>PHYSICAL PROPERTIES 665411 -- Basic Superconductivity Studies-- (1992-)</subject><subject>Physics</subject><subject>SUPERCONDUCTIVITY</subject><subject>Theory and models of superconducting state</subject><issn>0163-1829</issn><issn>1095-3795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><recordid>eNpNkEtLxDAQx4Mo7rr6AbxIEQ9euiZtHs3RXXzBguLjHNJkwlb6WJN2sd_ealdxLjMMv_nD_BA6JXhOCE6vntZ9eIbtYk7FsGAk2UNTgiWLUyHZPppiwtOYZImcoKMQ3vFQCZeHaEKGiSVSTBFfLF-idg2N76MWQgs2KupI1xF8atOWfRSacqvzEiIHviqaOnJlV9hjdOB0GeBk12fo7fbmdXkfrx7vHpbXq9ikjLVxrq11NidAc5YCdybBOc0S4FoIzh2jAmdYCweQaSypSB3JLMHgcGK1JSydofMxtwltoYIpWjBr09Q1mFZxToUQeIAuR2jjm49ueEJVRTBQlrqGpguKZEwSKfGQP0NkRI1vQvDg1MYXlfa9Ilh9O1W_ThUV6sfpcHO2i-_yCuy_i1HiAFzsAB2MLp3XtSnCH0cFlSLj6ReqJ39U</recordid><startdate>19930501</startdate><enddate>19930501</enddate><creator>QUICK, R. M</creator><creator>ESEBBAG, C</creator><creator>DE LLANO, M</creator><general>American Physical Society</general><general>American Institute of Physics</general><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>19930501</creationdate><title>BCS theory tested in an exactly solvable fermion fluid</title><author>QUICK, R. M ; ESEBBAG, C ; DE LLANO, M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-baddfdb1e4b53e6fc20b482e6a7766f547080a7fee8a09473f18d10ef02dad153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>ANALYTICAL SOLUTION</topic><topic>BCS THEORY</topic><topic>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</topic><topic>Condensed matter: electronic structure, electrical, magnetic, and optical properties</topic><topic>COUPLING CONSTANTS</topic><topic>DENSITY</topic><topic>ELECTRIC CONDUCTIVITY</topic><topic>ELECTRICAL PROPERTIES</topic><topic>ENERGY LEVELS</topic><topic>Exact sciences and technology</topic><topic>FERMI GAS</topic><topic>FLUIDS</topic><topic>GASES</topic><topic>GROUND STATES</topic><topic>MANY-BODY PROBLEM</topic><topic>ONE-DIMENSIONAL CALCULATIONS</topic><topic>PHYSICAL PROPERTIES 665411 -- Basic Superconductivity Studies-- (1992-)</topic><topic>Physics</topic><topic>SUPERCONDUCTIVITY</topic><topic>Theory and models of superconducting state</topic><toplevel>online_resources</toplevel><creatorcontrib>QUICK, R. M</creatorcontrib><creatorcontrib>ESEBBAG, C</creatorcontrib><creatorcontrib>DE LLANO, M</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review. B, Condensed matter</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>QUICK, R. M</au><au>ESEBBAG, C</au><au>DE LLANO, M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>BCS theory tested in an exactly solvable fermion fluid</atitle><jtitle>Physical review. B, Condensed matter</jtitle><addtitle>Phys Rev B Condens Matter</addtitle><date>1993-05-01</date><risdate>1993</risdate><volume>47</volume><issue>17</issue><spage>11512</spage><epage>11514</epage><pages>11512-11514</pages><issn>0163-1829</issn><eissn>1095-3795</eissn><coden>PRBMDO</coden><abstract>Remarkably the one-dimensional (1D) many-fermion fluid with pairwise-attractive [delta]-function interactions is exactly solvable in that one can determine the exact many-body ground-state energy and chemical potential for all values of the coupling strength and/or density. Bardeen-Cooper-Schrieffer (BCS) theory is tested in this model by numerically determining the BCS total ground-state energy and chemical potential as a function of the coupling strength and/or density, and comparing with the exact results. As is the case for 2D and 3D theories, two regimes are apparent: (a) a BCS-proper regime of weakly coupled, overlapping Cooper pairs and (b) a Bose-gas regime of strongly interacting fermions which pair to form an ideal Bose gas at low density. In the two extremes the BCS energy and chemical potential are identical to the exact values and are moderately close for intermediate coupling and/or density.</abstract><cop>Woodbury, NY</cop><pub>American Physical Society</pub><pmid>10005297</pmid><doi>10.1103/PhysRevB.47.11512</doi><tpages>3</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0163-1829 |
| ispartof | Physical review. B, Condensed matter, 1993-05, Vol.47 (17), p.11512-11514 |
| issn | 0163-1829 1095-3795 |
| language | eng |
| recordid | cdi_osti_scitechconnect_6647770 |
| source | American Physical Society Journals |
| subjects | ANALYTICAL SOLUTION BCS THEORY CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Condensed matter: electronic structure, electrical, magnetic, and optical properties COUPLING CONSTANTS DENSITY ELECTRIC CONDUCTIVITY ELECTRICAL PROPERTIES ENERGY LEVELS Exact sciences and technology FERMI GAS FLUIDS GASES GROUND STATES MANY-BODY PROBLEM ONE-DIMENSIONAL CALCULATIONS PHYSICAL PROPERTIES 665411 -- Basic Superconductivity Studies-- (1992-) Physics SUPERCONDUCTIVITY Theory and models of superconducting state |
| title | BCS theory tested in an exactly solvable fermion fluid |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-11T03%3A08%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=BCS%20theory%20tested%20in%20an%20exactly%20solvable%20fermion%20fluid&rft.jtitle=Physical%20review.%20B,%20Condensed%20matter&rft.au=QUICK,%20R.%20M&rft.date=1993-05-01&rft.volume=47&rft.issue=17&rft.spage=11512&rft.epage=11514&rft.pages=11512-11514&rft.issn=0163-1829&rft.eissn=1095-3795&rft.coden=PRBMDO&rft_id=info:doi/10.1103/PhysRevB.47.11512&rft_dat=%3Cproquest_osti_%3E1859199047%3C/proquest_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1859199047&rft_id=info:pmid/10005297&rfr_iscdi=true |