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The conductivity sum rule for a one-band hopping model relates the integratedspectral weight of the real part of the conductivity to the average kineticenergy. For such a model, the superconducting penetration depth is thereforedependent upon both the change in the conductivity spectral weight and thechange in kinetic energy between the normal and superconducting states. Here weexamine the consequences of this for the c-axis penetration depth of a layeredsystem in which the charge transfer perpendicular to the layers (along thec-axis) is mediated by interlayer impurity scattering.Comment: 2 pages, minor corrections, additional concluding remark

physical review. b, condensed matter

Penetration depth and the conductivity sum rule for a model with incoherent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>c</mml:mi></mml:math>-axis coupling

Penetration depth and the conductivity sum rule for a model with incoherentc-axis coupling