The Study Of Coexistence Of Superconductivity And Spin Density Wave (sdw) In Smo1-xfxfeas

Superconductivity and magnetism were previously thought as incompatible until therndiscovery of some rare earth ternary compounds that shows the coexistence ofrnsuperconductivity and magnetism. In some of the recently discovered iron-based layeredrnsuperconductors superconductivity and magnetism are coexist. In the present work wernexamine the possibility of coexistence of superconductivity and spin density wave inrnsamarium arsenide oxide superconductor (SmO1-xFxFeAs). Using the model of thernHamiltonian and retarded double time green’s function formalism, we found mathematicalrnexpression for superconducting transition temperature (Tc), superconductivity orderrnparameter (Δ ), spin density wave order parameter (M), and spin density wave transitionrntemperature (Tsdw). We merged the phase diagram of Tc vs. M and Tsdw vs. M, to obtain thernregion where both orders i.e. superconductivity and spin density wave coexist. The regionrnunder the intersection of the two merged graphs shows that superconductivity and spinrndensity wave coexist in the system

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