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- W2014168463 abstract "We consider the differential sum rule for the effective scattering rate $1/ensuremath{tau}(ensuremath{omega})$ and optical conductivity ${ensuremath{sigma}}_{1}(ensuremath{omega})$ in a dirty BCS superconductor, for arbitrary ratio of the superconducting gap $ensuremath{Delta}$ and the normal state constant damping rate $1/ensuremath{tau}.$ We show that if $ensuremath{tau}$ is independent of T, the area under $1/ensuremath{tau}(ensuremath{omega})$ does not change between the normal and the superconducting states, i.e., there exists an exact differential sum rule for the scattering rate. For any value of the dimensionless parameter $ensuremath{Delta}ensuremath{tau},$ the sum rule is exhausted at frequencies controlled by $ensuremath{Delta}.$ We show that in the dirty limit the convergence of the differential sum rule for the scattering rate is much faster then the convergence of the f-sum rule, but slower then the convergence of the differential sum rule for conductivity." @default.
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- W2014168463 date "2003-07-15" @default.
- W2014168463 modified "2023-09-25" @default.
- W2014168463 title "Differential sum rule for the relaxation rate in dirty superconductors" @default.
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- W2014168463 doi "https://doi.org/10.1103/physrevb.68.024504" @default.
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