Effects of impurity vertex correction on the NMR coherence peak in s-wave superconductors

Han-Yong Choi; E. J. Mele

doi:10.1103/PhysRevB.52.7549

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Effects of impurity vertex correction on the NMR coherence peak in s-wave superconductors

Han-Yong Choi, E. J. Mele

DOI 10.1103/PhysRevB.52.7549 · Physical Review B

T1

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Abstract

We study the effects of nonmagnetic impurity vertex correction on nuclear spin-lattice relaxation rate 1/T1 of conventional s-wave superconductors within the Eliashberg formalism. We obtain, with a self-consistent t-matrix treatment of impurity scatterings, the expression for impurity vertex function and nuclear spin-lattice relaxation rate. The 1/T1 is evaluated with a simple approximation on angular average, and found to agree in clean limit with the previous result that 1/(T1T) remains unrenormalized under the impurity vertex correction. As dirtiness is increased, on the other hand, the coherence peak in 1/(T1T) is found to increase due to the impurity vertex correction. This result is discussed in connection with the experimental observations on conventional superconductors.

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