The Study Of Coexistence Of Superconductivityand Magnetism In Sodium Doped Calsium Iron

Abstract

This research work focuses on the theoretical investigation of the possible coexistences of magnetism and superconductivity in sodium doped calcium iron Arsenide ). The process of doping play a central role in the physics. The complete microscopic theory of superconductivity was proposed by Bardeen, Cooper and Schrieffer which is nowadays known as the BCS theory (Bardeen et al., 1957). The BCS theory can predict many properties of the “conventional” superconductors including transition temperatures by knowing the electron phonon coupling [18, 19]. Superconductivity in magnetic materials is believed to be resulted from a different type of electron pairing mechanisms. Superconductors have the capacity of carrying electric currents to large distances without loss of energy. The coexistence of superconductivity and magnetism has been studied theoretically and experimentally. The coexistence of magnetism and superconductivity was first theoretically addressed by Ginzburg (1957) and experimental investigation was made by Matthias et al. (1959). The high upper critical fields and the low superconducting anisotropy of the Na-doped CaFe2As2 compounds indicate a repulsive potential for applications such as the generation of high magnetic fields [7]. We obtained expressions for superconducting transition temperatures related magnetic ordering parameter , magnetic ordering temperature(Tm). By using the experimental and theoretical values of Na-doped CaFe2As2 compounds to compare and contrast the phase diagrams, theoretical state with derived formulas in term of superconducting transition temperatures versus magnetic ordering parameter and magnetic ordering temperatures versus magnetic ordering parameter are plotted to check related.