P. Singh (Professor)Mebrahtu, Abera2018-06-132023-11-092018-06-132023-11-092011-06http://10.90.10.223:4000/handle/123456789/567Superconductivity and magnetism were previously thought as incompatible until the discovery of some rare earth ternary compounds that show the coexistence of superconductivity and magnetism. In some of the recently discovered iron-based layered superconductors, superconductivity and magnetism coexist. In the present work we examine the possibility of coexistence of antiferromagnetism and superconductivity in samarium arsenide oxide superconductor (SmAsO1􀀀xFxFe). Using a model of the Hamiltonian and retarded double time Greens function formalism, we found expressions for superconducting transition temperature (Tc), superconductivity order parameter ( sc(T)), AFM order parameter ( ), and AFM transition temperature (Tm). We obtained the phase diagrams (Tcvs ) and (Tmvs ) to obtain the region where both orders ,i.e, superconductivity and AFM coexist. The region under the intersection of the two merged graphs shows that superconductivity and AFM coexist in the system(SmAsO1􀀀xFxFe)enSuperconductivity and magnetismThesis