Abstract
An exact calculation is given of the upper critical field of a hollow isotropic type-II superconducting cylinder. This field is the analogue of the surface-sheath critical field Hc3. As the temperature decreases below Tc the critical field corresponds to increasing values of the azimuthal quantum number mod m mod , i.e. the fluxoid number. The results are compared with those for a flat surface, a film and a solid cylinder and with the approximate result for a thin-walled cylinder. For the last case, it is shown bow the Little-Parks oscillations are modified as the cylinder wall thickness increases. The effects of normal-metal cladding on the inner and outer surfaces are calculated.
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