Stability Conditions in Gapless Superconductors

Details Stability Conditions in Gapless Superconductors Stability Conditions in Gapless Superconductors

2006-08-02

arxiv.org/abs/cond-mat/0608041v1

Physics

Condensed Matter

Superconductivity

7 pages, 5 figures, Proceedings of 'Continuous Advances in QCD 2006', May 11-14, 2006, Minneapolis, MN

Scientific paper

Gapless superconductivity can arise when pairing occurs between fermion species with different Fermi surface sizes, provided there is a sufficiently large mismatch between Fermi surfaces and/or at sufficiently large coupling constant. In gapless states, secondary Fermi surfaces appear where quasiparticle excitation energy vanishes. This work focuses on homogeneous and isotropic superfluids in the s-wave channel, with either zero (conventional superconductor), one, or two spherical Fermi surfaces. The stability conditions for these candidate phases are analyzed. It is found that gapless states with one Fermi surface are stable in the BEC region, while gapless states with two Fermi surfaces are unstable in all parameter space. The results can be applied to ultracold fermionic atom systems.

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