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
Hauptverfasser: Bertsch, G.F., Dukelsky, J., Errea, B., Esebbag, C.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2010.02.015