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Published:
May 2, 2026DOI:
10.4314/mejs.v18i1.5Keywords:
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Main Article Content
Coexistence of Superconductivity and Antiferromagnetic Spin Density Wave in Two-Band Model for the Iron-Based Superconductor Ba_(1-x) K_x Fe_2 As_2
Tsadik Kidanemariam
Gebregziabher Kahsay
Alem Mebrahtu
Abstract
The current research work focuses on the theoretical investigation of the coexistence of superconductivity and antiferromagnetic spin density wave (SDW) in a two-band model for the iron-based superconductor. In this study, we considered the electron and hole intra-band interactions, the inter-band and magnetic interactions between the two bands. By employing a system Hamiltonian in a two-band model for the given superconductor and by using the double time temperature dependent Green’s function formalism at the Bardeen-Cooper Schrieffer (BCS) mean field approximation (MFA) level, we obtained mathematical expressions for the dependence of superconducting transition temperature () on antiferromagnetic SDW order parameter () in the electron and hole intra-band interactions and the inter-band interaction for the superconductor. Similarly, we have obtained an expression for the dependence of antiferromagnetic SDW transition temperature () on antiferromagnetic SDW order parameter () for. By using experimental values and considering some plausible approximations of the parameters in the obtained expressions, phase diagrams of versus in the electron and hole intra-band interactions and the inter-band interaction are plotted for the superconductor. Similarly, a phase diagram of versus is plotted for the same superconductor. By merging the two-phase diagrams, we have demonstrated the possible coexistence of superconductivity and antiferromagnetic SDW in the electron and hole intra-band interactions and the inter-band interaction. Furthermore, we have investigated the dependence of on temperature in the pure antiferromagnetic SDW region, and the phase diagram is plotted for the variation of with temperature for the superconductor. Our findings are in agreement with previous experimental findings.
