We study the vortex structures of a two-component Fermi gas experiencing a
uniform effective magnetic field in an anisotropic trap that interpolates
between quasi-one dimensional (1D) and quasi-two dimensional (2D). At a fixed
chemical potential, reducing the anisotropy (or equivalently increasing the
attractive interactions or increasing the magnetic field) leads to
instabilities towards pair density waves, and vortex lattices. Reducing the
chemical potential stabilizes the system. We calculate the phase diagram, and
explore the density and pair density. The structures are similar to those
predicted for superfluid Bose gases. We further calculate the paired fraction,
showing how it depends on chemical potential and anisotropy.Comment: 6 pages, 3 figure