  We investigate the superfluid properties of d-wave pairing symmetry within
the Extended Hubbard Model (EHM) in a magnetic field. We analyze the
temperature and magnetic field dependencies of the order parameter. We find
that in the two-dimensional case, the spatially homogeneous spin polarized
superfluidity ($SC(P\neq0)$) is stable in the weak coupling limit, at T=0, as
opposed to the s-wave pairing symmetry case in 2D. We construct the ground
state phase diagrams both for fixed chemical potential ($\mu$) and electron
concentration ($n$). Furthermore, we obtain the temperature vs. magnetic field
and temperature vs. spin polarization phase diagrams.
