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Finite bandwidth effects on the transition temperature and NMR relaxation rate of impure superconductors

Han-Yong Choi

DOI 10.1103/PhysRevB.53.8591 · Physical Review B

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Abstract

We study the thermodynamic properties of impure superconductors by explicitly taking into consideration the finiteness of electronic bandwidths within the phonon-mediated Eliashberg formalism. For a finite electronic bandwidth, the superconducting transition temperature, Tc, is suppressed by nonmagnetic impurity scatterings. This is a consequence of a reduction in the effective electron-phonon coupling, λeff. The reduced λeff is reflected in the observation that the coherence peak in 1/(T1T), where T1 is the nuclear spin-lattice relaxation time and T is the temperature, is enhanced by impurity scatterings for a finite bandwidth. Calculations are presented for Tc and 1/(T1T) as bandwidths and impurity scattering rates are varied. Implications for doped C60 superconductors are discussed in connection with Tc and 1/T1 measurements. © 1996 The American Physical Society.

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