QCD phase diagram at finite baryon and isospin chemical potentials in the Polyakov loop extended quark meson model with vector interaction

We investigate the QCD phase diagram of isospin asymmetric matter using the Polyakov loop extended quark meson model with vector interaction. The critical point temperature is found to decrease in isospin asymmetric matter and disappear at large isospin chemical potential. We also discuss the QCD phase transition in the neutron star core. From comparison of the QCD phase diagram in Polyakov loop extended quark meson model and corresponding baryon and isospin chemical potentials of neutron star matter in relativistic mean- field models, we show that the order of the chiral phase transition in the neutron star core could be crossover because of large isospin chemical potential.