Abstract
A quasi-classical theory of rough surface effect on diamagnetic response is developed for normal-superconducting proximity contact systems with arbitrary concentration of impurities. We calculate the diamagnetic current and the screening length of the normal layer taking into account the surface roughness by use of the thin dirty layer model. We propose an analytic treatment of the thin dirty layer model. The surface roughness has a considerable effect in the clean limit and also when the mean free path is comparable with the normal layer width. In dirty systems, while the diamagnetic current is significantly reduced near the rough surface, the screening fraction is not so much affected by the surface roughness in the whole temperature range.
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Hara, J., Higashitani, S. & Nagai, K. Rough Surface Effect on Diamagnetic Response of Normal-Superconducting Proximity Contact System with Arbitrary Concentration of Impurities. Journal of Low Temperature Physics 132, 147–165 (2003). https://doi.org/10.1023/A:1024447516434
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DOI: https://doi.org/10.1023/A:1024447516434