  We study superfluid states in a two-dimensional fermionic attractive Hubbard
model with Zeeman coupling to an external field. Focusing our attention on
singlet pairing in both weak and strong coupling regimes, we reveal a rich
phase diagram of finite momentum condensates which exhibits both Fulde-Ferrell
and Larkin-Ovchinnikov orders at zero temperature. The latter are commensurate
stripe states that spontaneously break a lattice symmetry; many stable ordering
wavevectors are found as a function of particle density and Zeeman field.
Stronger coupling significantly enhances the stability of the finite momentum
condensates, but our numerical mean-field calculations underestimate the effect
of fluctuations and indicate a possible localization near half-filling.
