SUPERCONDUCTIVITY AND MAGNETISM IN RHODIUM DOPED BARIUM IRON ARSENIDE Ba(Fe1-xRhx)2As2 SUPERCONDUCTOR

Abstract Superconductivity and magnetism often thought to be incompatible each other. However, superconductivity often emerges in competition with magnetism in iron based superconductor. In the present work, the competition between superconductivity and magnetism have been examined in rhodium doped barium iron arsenide (Ba(Fe1-xRhx)2As2) superconductors based on two band model of Hamiltonian. Employing retarded double time temperature dependent green’s function with the model Hamiltonian, the expression for superconducting transition temperature (ܶ஼) and spin density wave transition temperature (ܶ௠) as a function of magnetic order parameter (M) have been found. 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 show 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 and ܶ௠ as a function of magnetic order parameter show that the possible coexistence of superconductivity and spin density wave in Ba(Fe1-xRhx)2As2 superconductors between the region 0.46≤ ܯ ≥ 0.59.