We introduce and analyze an extended Hubbard model, in which intersite Coulomb interaction as well a staggered local potential (SLP) are considered, on the square lattice at half band filling, thermodynamic limit. Using both Hartree-Fock approximation Kotliar Ruckenstein slave boson formalism, we show that model harbors charge order (CO) joint spin modulations (SCO) finite values of SLP, while ...