  It is shown that the spin polarized condensate appears in quark matter at
high baryon density and low temperature due to the tensor-type four-point
interaction in the Nambu-Jona-Lasinio-type model as a low energy effective
theory of quantum chromodynamics. It is indicated within this low energy
effective model that the chiral symmetry is broken again by the spin polarized
condensate as increasing the quark number density, while the chiral symmetry
restoration occurs in which the chiral condensate disappears at a certain
density.
