Tensor condensate accompanied by chiral transition in a strong magnetic field

We investigate tensor condensates and chiral condensates in the (2+1)-flavor Nambu-Jona-Lasinio model at finite temperature and density in the presence of a strong magnetic field. The emergence of the tensor condensate is attributed to the four-fermion interaction. It is shown that a sufficiently large chemical potential is necessary for the occurrence of a phase transition towards tensor condensate. Furthermore, we investigate the correlation between tensor condensate and spin polarization, which accounts for the oscillatory behavior of the spin polarization during the transition from the chiral condensate to tensor condensate phase.