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We study superfluid states in a two-dimensional fermionic attractive Hubbardmodel with Zeeman coupling to an external field. Focusing our attention onsinglet pairing in both weak and strong coupling regimes, we reveal a richphase diagram of finite momentum condensates which exhibits both Fulde-Ferrelland Larkin-Ovchinnikov orders at zero temperature. The latter are commensuratestripe states that spontaneously break a lattice symmetry; many stable orderingwavevectors are found as a function of particle density and Zeeman field.Stronger coupling significantly enhances the stability of the finite momentumcondensates, but our numerical mean-field calculations underestimate the effectof fluctuations and indicate a possible localization near half-filling.

Finite momentum condensate brought on by Zeeman field