Atnafu, Dagne2018-06-202023-11-092018-06-202023-11-092010-07http://10.90.10.223:4000/handle/123456789/2262Superconductivity and magnetism were previously thought as incompatible until the discovery of some rare earth ternary compounds that shows the coexistence of superconductivity and magnetism. In some of the recently discovered iron-based layered superconductors superconductivity and magnetism are coexist. In the present work we examine the possibility of coexistence of superconductivity and spin density wave in samarium arsenide oxide superconductor (SmO1-xFxFeAs). Using the model of the Hamiltonian and retarded double time green’s function formalism, we found mathematical expression for superconducting transition temperature (Tc), superconductivity order parameter (Δ ), spin density wave order parameter (M), and spin density wave transition temperature (Tsdw). We merged the phase diagram of Tc vs. M and Tsdw vs. M, to obtain the region where both orders i.e. superconductivity and spin density wave coexist. The region under the intersection of the two merged graphs shows that superconductivity and spin density wave coexist in the systemenThe Study of Coexistence of SuperconductivityThesis