We study the linear diamagnetic response of a superconducting cylinder coated by a normal-metal layer due to the proximity effect using the clean limit quasiclassical Eilenberger equations. We compare the results for the susceptibility with those for a planar geometry. Interestingly, for R ~ d the cylinder exhibits a stronger overscreening of the magnetic field, i.e., at the interface to the superconductor it can be less than (−1 /2) of the applied field. Even for \({R\gg d}\) , the diamagnetism can be increased as compared to the planar case, viz. the magnetic susceptibility 4πχ becomes smaller than −3/4. This behavior can be explained by an intriguing spatial oscillation of the magnetic field in the normal layer.
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Belzig, W., Bruder, C. & Nazarov, Y.V. Overscreening Diamagnetism in Cylindrical Superconductor-normal Metal-heterostructures. J Low Temp Phys 147, 441–456 (2007). https://doi.org/10.1007/s10909-007-9326-9
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DOI: https://doi.org/10.1007/s10909-007-9326-9