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Penetration Depth in Impure Superconductors

P. B. Miller

Open publisher page 70 citations

Abstract

The equation giving the current density as a functional of the vector potential for an impurity superconductor derived by Mattis and Bardeen is used to compute the temperature dependence of the penetration depth of impure superconductors. Results of calculations for different values of the ratio of the coherence distance to the mean free path and also for different values of the ratio of the coherence distance to the London penetration depth are given. The results are applied to tin as an example, and appreciable deviations from the ${[1\ensuremath{-}{(\frac{T}{{T}_{c}})}^{4}]}^{\ensuremath{-}\frac{1}{2}}$ temperature dependence of the penetration depth are found for all values of the mean free path.

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What this paper is about

The equation giving the current density as a functional of the vector potential for an impurity superconductor derived by Mattis and Bardeen is used to compute the temperature dependence of the penetration depth of impure superconductors. Results of calculations for different values of the ratio of the coherence distance to the mean free path and also for different values of the ratio of the coherence distance to the London penetration depth are given. The results are applied to tin as an example, and appreciable deviations from the ${[1\ensuremath{-}{(\frac{T}{{T}_{c}})}^{4}]}^{\ensuremath{-}\frac{1}{2}}$ temperature dependence of the penetration depth are found for all values of the mean free path.

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OpenAlex reports 70 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The equation giving the current density as a functional of the vector potential for an impurity superconductor derived by Mattis and Bardeen is used to compute the temperature dependence of the penetration depth of impure superconductors. Results of calculations for different values of the ratio of the coherence distance to the mean free path and also for different values of the ratio of the coherence distance to the London penetration depth are given. The results are applied to tin as an example, and appreciable deviations from the ${[1\ensuremath{-}{(\frac{T}{{T}_{c}})}^{4}]}^{\ensuremath{-}\frac{1}{2}}$ temperature dependence of the penetration depth are found for all values of the mean free path.

Key concepts: London penetration depth, Penetration depth, Superconductivity, Coherence length, Mean free path, Condensed matter physics, Physics, Penetration (warfare)

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