On the rate of Tc suppression by the interband impurity scattering in MgB2

Abstract

We calculate the change in the superconducting transition temperature Tc of MgB2 caused by interband nonmagnetic impurity scattering using the Eliashberg theory for the two-band model of this compound. Much slower rate of Tc suppression is obtained compared to the prediction based on the BCS treatment of the two-band model which ignores renormalization and damping associated with the electron-phonon interaction. Hence, the interband impurity scattering rates deduced from experiments on MgB2 using the formula which results from the BCS approach to the two-band model are underestimated. We generalize the BCS treatment of the two-band model to include renormalization effects of the electron-phonon interaction and find an excellent agreement with the full strong coupling calculation.

arXiv comment12 pages, 3 figures

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• Thermodynamics of Two - Band Superconductors: The Case of MgB${}_2$
• Strong magnetic pair breaking in Mn substituted MgB_2 single crystals
• Impurity-induced in-gap state and Tc in sign-reversing s-wave superconductors: analysis of iron oxypnictide superconductors
• Exact factorization-based density functional theory of electron-phonon systems
• Electronic structure, electron-phonon coupling and superconductivity of isotypic noncentrosymmetric crystals Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Interorbital pair scattering in clean and impure superconductors
• NMR relaxation time in a clean two-band superconductor
• Effect of disorder on the far-infrared conductivity and on the microwave conductivity of two-band superconductors