INTERPLAY BETWEEN MAGNETISM AND SUPERCONDUCTIVITY IN HOLE DOPED IRON ARSENIDE (Ba1- xKxFe2As2) SUPERCONDUCTOR

ABSTRACT Superconductivity 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 discovery iron based layered superconductors, superconductivity and magnetism are coexisted. In current paper works with interplay between magnetism and superconductivity in hole doped barium iron arsenide superconductors. we use model Hamiltonian for the system and Green’s function formalism, we should obtain mathematical expression of superconducting transition temperature (Tc), superconducting order parameter ( ), magnetic transition temperature ( ), and magnetic order parameter ( .containing three different elements in the compound of iron arsenide BaFe2As2 becomes superconducting by hole doping which was achieved by partial substitution of the barium site with potassium. We also investigate the effect of antiferromagnetism and superconductivity are coexistence for (Ba1−xKxF e2As2). Using phase diagram and the effect of doping on the transition temperature. The phase diagram of superconducting transition temperature and magnetic transition temperature as a function of magnetic order parameter for Ba1-xKxFe2As2 show that the superconducting transition temperature decreases as the magnetic order parameter increases while the magnetic transition temperature increases with the increase of magnetic order parameter and finally emerged this two graph intersection region have been shown the possible coexistence of superconducting and magnetism in Ba1-xKxFe2As2superconductor where x is found 0