  We study the interplay between the Zeeman field and spin-orbit coupling (SOC)
in harmonically trapped Fermi gases loaded into a two-dimensional single-band
tight-binding optical lattice. Using the Bogoliubov-de Gennes theory, we find
that the Zeeman field combined with a Rashba SOC gives rise to $(i)$
Fulde-Ferrell-like superfluidity and $(ii)$ skyrmion-like polarization textures
near the edges of the system. We also discussed the effects of interaction,
temperature, SOC anisotropy and Zeeman field anisotropy on the superfluid
ground state and polarization textures.
