Stability of FFLO states in optical lattices with bilayer structure

Details Stability of FFLO states in optical lattices with bilayer structure Stability of FFLO states in optical lattices with bilayer structure

2012-04-18

arxiv.org/abs/1204.4187v1

Physics

Condensed Matter

Superconductivity

6 pages, 11 figures

Scientific paper

We investigate the stability of the superfluid state in a bilayer fermionic optical lattice system with a confining potential, using the Bogoliubov de-Gennes equations. It is clarified that in the imbalanced case, the introduction of the interlayer hopping stabilizes the radial Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, while makes the angular FFLO state unstable. We also discuss the system size dependence of the superfluid ground state. It is clarified that in a certain ring region the A-FFLO state is indeed realized in a large system.

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