The interplay between superconductivity and magnetism in hydrogen doped samarium iron arsenic oxide (SmFeAsO1-xHx) superconductor

ABSTRACTS The Interplay of magnetism and superconductivity is fundamental problem in condensed matter physics.These two-phenomeno were thought mutualy an antagonistic 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 superconductors, superconductivity and magnetism bsereved to exist in harmony. In the present work, the possible interplay of magnetism and superconductivity have been investegeted in hydrogen doped samarium iron arsenide oxide superconductor, (SmFeAsO1-xHx). Using retarded double-time Green function with a model of Hamiltonian which included kinetic energy, superconducting and magnetic interaction tearm, mathimatical expressions for superconducting transition temperature (TC), superconductivity order parameter (∆sc (T)), AFM order parameter (Ƞ), and AFM transition temperature (Tm) have been obtained. The phase diagram superconducting transition temperature as a function of magnetic oreder parameter. Shaw that (TC vs. Ƞ) as Ƞ increasesTCdecrease. The phase diagram magnetic transition temperature as a function of magnetic oreder parameter shaw that (Tm vs. Ƞ) as Ƞ increases Tm increase.The region under the intersection of the two merged graphs shows that superconductivity and AFM coexist in hydrogen dopped samarium iorn arsenic soxide (SmFeAsO1-xHx) superconductor