THEORETICAL INVESTIGATION OF SUPERCONDUCTIVITY AND SPIN DENSITY WAVE IN RHONDIUM DOPED BARIUM IRON ARSANIED (Ba (FeRh1-x) 2 As2) SUPERCONDUCTOR

Abstract The study of the competition between superconductivity and magnetism is crucial for the ongoing investigation of mechanism for the formation of cooper pair in high temperature superconductors. Due to multiband electronic structure of iron based superconductors two band consisting of intra and inter band model Hamiltonian was considered. In the presence work, the computation between superconductivity and magnetism have been explained in Rhodium doped barium iron arsenide ( )2 ) superconductor. Employing retarded double time temperature dependent green’s function with the model Hamiltonian, the expression for superconducting transition temperature ( ) and electron coupling constant ( , the magnetic transition temperature ( ), as a function of magnetic order parameter ( ) has been calculated. The plotted graph of superconducting transition temperature ( as a function of magnetic order parameter reveals the superconducting transition temperature decreases as the magnetic order parameter increases. The graph of magnetic transition temperature as a function of magnetic order parameter ( ) shows that SDW transition temperature increases with the increase of magnetic order parameter. The region under the intersection of the two merged graphs of as a function of magnetic order parameter ( ) shows that the possible coexistence of superconductivity and spin density wave in )2 superconductors.