Pairing in 4-component fermion systems: The bulk limit of SU(4)-symmetric Hamiltonians |
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Authors: | GF Bertsch J Dukelsky C Esebbag |
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Institution: | a Institute for Nuclear Theory and Department of Physics, University of Washington, Seattle, Washington, USA b Instituto de Estructura de la Materia - CSIC, Serrano 123, 28006 Madrid, Spain c Departamento de Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, Spain |
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Abstract: | 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. |
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