The differential sum rule for the relaxation rate in the cuprates

Abstract

Motivated by recent experiments by Basov {\it et al}, we study the differential sum rule for the effective scattering rate $1/\tau (\omega )$. We show that in a dirty BCS superconductor, the area under $1/\tau (\omega )$ does not change between the normal and the superconducting states. For magnetically mediated pairing, similar result holds between $T<T_c$ and $T\ge T_c$, while in the pseudogap phase, $1/\tau (\omega )$ is just suppressed compared to $1/\tau (\omega )$ in the normal state. We argue that this violation of the differential sum rule is due to the fact that low-energy fermions in the pseudogap phase are still incoherent.

4 pages, 5 figures

References in corpus (1)

• Sum rule for the optical scattering rates

Cited by in corpus (7)

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• Optical properties of the iron-chalcogenide superconductor FeTe0.55Se0.45
• The spin resonance and high frequency optical properties of the cuprates
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