Abstract
We calculate the change in the superconducting transition temperatureTc ofMgB2 caused by interband nonmagnetic impurity scattering using the Eliashbergtheory for the two-band model of this compound. A much slower rate ofTc suppression is obtained compared to the prediction based on the BCS treatment of the two-bandmodel which ignores renormalization and damping associated with the electron–phononinteraction. Hence, the interband impurity scattering rates deduced from experiments onMgB2 using the formula which results from the BCS approach to the two-band model areunderestimated. We generalize the BCS treatment of the two-band model to includerenormalization effects of the electron–phonon interaction and find an excellent agreementwith the full strong coupling calculation.
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