Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians

Details Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians

2009-12-18

arxiv.org/abs/0912.3788v1

Annals of Physics 325 (2010) 1340

Physics

Mathematical Physics

13 pages; 2 figures; 1 table

Scientific paper

Fermion systems with more than two components can exhibit pairing condensates of 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 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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