Magnetic Stability Analysis for Abelian and Non-Abelian Superconductors

Abstract

We investigate the origin of Abelian and non-Abelian type magnetic instabilities induced by Fermi surface mismatch between the two pairing fermions in a non-relativistic model. The Abelian type instability occurs only in gapless state and the Meissner mass squared becomes divergent at the gapless-gapped transition point, while the non-Abelian type instability happens in both gapless and gapped states and the divergence vanishes. The non-Abelian type instability can be cured in strong coupling region.

7 pages, 2 figures, more references added, accepted for publication in PRD

References in corpus (6)

• Ultracold fermions and the SU(N) Hubbard model
• Chromomagnetic instability in dense quark matter
• Stability conditions and Fermi surface topologies in a superconductor
• Characterizing the Larkin-Ovchinnikov-Fulde-Ferrel phase induced by the chromomagnetic instability
• Stable gapless superconductivity at strong coupling
• Fermion Cooper Pairing with Unequal Masses: Standard Field Theory Approach

Cited by in corpus (3)

• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Development of an apparatus for cooling 6Li-87Rb Fermi-Bose mixtures in a light-assisted magnetic trap