Power-law temperature dependence of the inelastic-scattering rate in disordered superconductors
T. P. Devereaux, D. Belitz
DOI 10.1103/PhysRevB.43.3736 · Physical Review B
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Abstract
We present a theory of the quasiparticle inelastic lifetime τin in disordered superconducting films. We find that both the Coulomb and the electron-phonon contribution to τin−1 are enhanced by disorder, and that for reasonably strong electron-phonon coupling the latter is dominant. In contrast to clean superconductors, the scattering rate is larger than the recombination rate at all temperatures. This leads to a power-law temperature dependence of τin−1, in agreement with experimental observations. The theory quantitatively accounts for the magnitude, disorder dependence, and temperature dependence of τin measured in recent experiments.
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