On the Imbalanced d-wave Superfluids within the Spin Polarized Extended Hubbard Model: Weak Coupling Limit

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.