Pairing in 4-component fermion systems: The bulk limit of SU(4)-symmetric Hamiltonians
Fermion systems with more than two components can exhibit pairing condensates of a much more complex structure than the well-known single BCS condensate of spin-up and spin-down fermions. In the framework of the exactly solvable SO(8) Richardson–Gaudin (RG) model with SU(4)-symmetric Hamiltonians, w...
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| Veröffentlicht in: | Annals of physics 2010-07, Vol.325 (7), p.1340-1348 |
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| creator | Bertsch, G.F. Dukelsky, J. Errea, B. Esebbag, C. |
| description | Fermion systems with more than two components can exhibit pairing condensates of a much more complex structure than the well-known single BCS condensate of spin-up and spin-down fermions. In the framework of the exactly solvable
SO(8) Richardson–Gaudin (RG) model with
SU(4)-symmetric Hamiltonians, we show that the BCS approximation remains valid in the thermodynamic limit of large systems for describing the ground-state energy and the canonical and quasiparticle excitation gaps. Correlations beyond BCS pairing give rise to a spectrum of collective excitations, but these do not affect the bulk energy and quasiparticle gaps. |
| doi_str_mv | 10.1016/j.aop.2010.02.015 |
| format | Article |
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SO(8) Richardson–Gaudin (RG) model with
SU(4)-symmetric Hamiltonians, we show that the BCS approximation remains valid in the thermodynamic limit of large systems for describing the ground-state energy and the canonical and quasiparticle excitation gaps. Correlations beyond BCS pairing give rise to a spectrum of collective excitations, but these do not affect the bulk energy and quasiparticle gaps.</description><identifier>ISSN: 0003-4916</identifier><identifier>EISSN: 1096-035X</identifier><identifier>DOI: 10.1016/j.aop.2010.02.015</identifier><identifier>CODEN: APNYA6</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>ANGULAR MOMENTUM ; Approximation ; APPROXIMATIONS ; ATOMIC AND MOLECULAR PHYSICS ; Atoms & subatomic particles ; BCS THEORY ; CALCULATION METHODS ; COLLECTIVE EXCITATIONS ; Condensates ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; CORRELATIONS ; ENERGY GAP ; ENERGY LEVELS ; ENERGY-LEVEL TRANSITIONS ; EXACT SOLUTIONS ; EXCITATION ; FERMIONS ; Gaps ; GROUND STATES ; HAMILTONIANS ; INTERACTIONS ; LIE GROUPS ; Mathematical analysis ; Mathematical models ; MATHEMATICAL OPERATORS ; MATHEMATICAL SOLUTIONS ; PAIRING INTERACTIONS ; PARTICLE PROPERTIES ; QUANTUM OPERATORS ; Quantum physics ; QUASI PARTICLES ; SO GROUPS ; SO-8 GROUPS ; SPIN ; SU GROUPS ; SU-4 GROUPS ; SYMMETRY ; SYMMETRY GROUPS</subject><ispartof>Annals of physics, 2010-07, Vol.325 (7), p.1340-1348</ispartof><rights>2010 Elsevier Inc.</rights><rights>Copyright © 2010 Elsevier B.V. All rights reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c384t-e964a259ac4b5244a5bd92248724b5ebbf9ce18907a5164d20aa64ad7b84ae373</citedby><cites>FETCH-LOGICAL-c384t-e964a259ac4b5244a5bd92248724b5ebbf9ce18907a5164d20aa64ad7b84ae373</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.aop.2010.02.015$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3548,27923,27924,45994</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/21452985$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Bertsch, G.F.</creatorcontrib><creatorcontrib>Dukelsky, J.</creatorcontrib><creatorcontrib>Errea, B.</creatorcontrib><creatorcontrib>Esebbag, C.</creatorcontrib><title>Pairing in 4-component fermion systems: The bulk limit of SU(4)-symmetric Hamiltonians</title><title>Annals of physics</title><description>Fermion systems with more than two components can exhibit pairing condensates of a much more complex structure than the well-known single BCS condensate of spin-up and spin-down fermions. In the framework of the exactly solvable
SO(8) Richardson–Gaudin (RG) model with
SU(4)-symmetric Hamiltonians, we show that the BCS approximation remains valid in the thermodynamic limit of large systems for describing the ground-state energy and the canonical and quasiparticle excitation gaps. Correlations beyond BCS pairing give rise to a spectrum of collective excitations, but these do not affect the bulk energy and quasiparticle gaps.</description><subject>ANGULAR MOMENTUM</subject><subject>Approximation</subject><subject>APPROXIMATIONS</subject><subject>ATOMIC AND MOLECULAR PHYSICS</subject><subject>Atoms & subatomic particles</subject><subject>BCS THEORY</subject><subject>CALCULATION METHODS</subject><subject>COLLECTIVE EXCITATIONS</subject><subject>Condensates</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>CORRELATIONS</subject><subject>ENERGY GAP</subject><subject>ENERGY LEVELS</subject><subject>ENERGY-LEVEL TRANSITIONS</subject><subject>EXACT SOLUTIONS</subject><subject>EXCITATION</subject><subject>FERMIONS</subject><subject>Gaps</subject><subject>GROUND STATES</subject><subject>HAMILTONIANS</subject><subject>INTERACTIONS</subject><subject>LIE GROUPS</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>MATHEMATICAL OPERATORS</subject><subject>MATHEMATICAL SOLUTIONS</subject><subject>PAIRING INTERACTIONS</subject><subject>PARTICLE PROPERTIES</subject><subject>QUANTUM OPERATORS</subject><subject>Quantum physics</subject><subject>QUASI PARTICLES</subject><subject>SO GROUPS</subject><subject>SO-8 GROUPS</subject><subject>SPIN</subject><subject>SU GROUPS</subject><subject>SU-4 GROUPS</subject><subject>SYMMETRY</subject><subject>SYMMETRY GROUPS</subject><issn>0003-4916</issn><issn>1096-035X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kUFv1DAQhSNEJZaWH8DNggNwyHbs2IkNJ1QBRapUJFrEzXKcCfUS24vtRdp_j6PlxIHTaEbfG82b1zTPKWwp0P5ytzVxv2VQe2BboOJRs6Gg-hY68f1xswGAruWK9k-apznvACjlQm6ab1-MSy78IC4Q3tro9zFgKGTG5F0MJB9zQZ_fkrsHJONh-UkW510hcSZf71_zN20-eo8lOUuujXdLicGZkC-as9ksGZ_9refN_ccPd1fX7c3tp89X729a20leWlQ9N0woY_koGOdGjJNijMuB1QGO46wsUqlgMIL2fGJgTFVMwyi5wW7ozpuXp70xF6ezdQXtg40hoC2aVYtMSVGpVydqn-KvA-aivcsWl8UEjIesFeU96-Ww7nvxD7mLhxSqBS25AjoICRWiJ8immHPCWe-T8yYdNQW9pqF3uqah1zQ0MF3TqJp3Jw3Wb_x2mNZjMVicXFpvnaL7j_oPTg6QZg</recordid><startdate>20100701</startdate><enddate>20100701</enddate><creator>Bertsch, G.F.</creator><creator>Dukelsky, J.</creator><creator>Errea, B.</creator><creator>Esebbag, C.</creator><general>Elsevier Inc</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>20100701</creationdate><title>Pairing in 4-component fermion systems: The bulk limit of SU(4)-symmetric Hamiltonians</title><author>Bertsch, G.F. ; 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SO(8) Richardson–Gaudin (RG) model with
SU(4)-symmetric Hamiltonians, we show that the BCS approximation remains valid in the thermodynamic limit of large systems for describing the ground-state energy and the canonical and quasiparticle excitation gaps. Correlations beyond BCS pairing give rise to a spectrum of collective excitations, but these do not affect the bulk energy and quasiparticle gaps.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.aop.2010.02.015</doi><tpages>9</tpages></addata></record> |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | ANGULAR MOMENTUM Approximation APPROXIMATIONS ATOMIC AND MOLECULAR PHYSICS Atoms & subatomic particles BCS THEORY CALCULATION METHODS COLLECTIVE EXCITATIONS Condensates CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY CORRELATIONS ENERGY GAP ENERGY LEVELS ENERGY-LEVEL TRANSITIONS EXACT SOLUTIONS EXCITATION FERMIONS Gaps GROUND STATES HAMILTONIANS INTERACTIONS LIE GROUPS Mathematical analysis Mathematical models MATHEMATICAL OPERATORS MATHEMATICAL SOLUTIONS PAIRING INTERACTIONS PARTICLE PROPERTIES QUANTUM OPERATORS Quantum physics QUASI PARTICLES SO GROUPS SO-8 GROUPS SPIN SU GROUPS SU-4 GROUPS SYMMETRY SYMMETRY GROUPS |
| title | Pairing in 4-component fermion systems: The bulk limit of SU(4)-symmetric Hamiltonians |
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