Critical Fields of mesoscopic superconductors

Physics – Condensed Matter – Superconductivity

Scientific paper

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5 pages (Revtex and 2 PostScript figures), to apppear in Z. Phys. B

Scientific paper

10.1007/s002570050391

Recent measurements have shown oscillations in the upper critical field of simply connected mesoscopic superconductors. A quantitative theory of these effects is given here on the basis of a Ginzburg-Landau description. For small fields, the $H-T$ phase boundary exhibits a cusp where the screening currents change sign for the first time thus defining a lower critical field $H_{c1}$. In the limit where many flux quanta are threading the sample, nucleation occurs at the boundary and the upper critical field becomes identical with the surface critical field $H_{c3}$.

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