Stability of FFLO states in optical lattices with bilayer structure

Abstract

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.

arXiv comment6 pages, 11 figures

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Cited by in corpus (5)

• Route to Observable Fulde-Ferrell-Larkin-Ovchinnikov Phases in 3D Spin-Orbit Coupled Degenerate Fermi Gases
• Competing superfluid orders in spin-orbit coupled fermionic cold atom optical lattices
• Enhancement effect of mass imbalance on Fulde-Ferrell-Larkin-Ovchinnikov type of pairing in Fermi-Fermi mixtures of ultracold quantum gases
• Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in three and two dimensions
• Pairing properties of an odd-frequency superfluid Fermi gas