In this work, we confirm the polarization-independent and enhanced GH shifts can be achieved in a monolayer-graphene-based disordered and defective photonic crystal at the working wavelength for both transverse electric and magnetic polarized waves. Additionally, the changed chemical potential of monolayer graphene in a monolayer-graphene-based disordered and defective photonic crystal heterostructure yields polarization-independent and controllable GH peak values.
