Influence of the confinement geometry on surface superconductivity

The nucleation field for surface superconductivity $H_{c3\mathrm{}}$ depends on the geometrical shape of the mesoscopic superconducting sample and is substantially enhanced with decreasing sample size. As an example we studied circular, square, triangular, and wedge shaped disks. For the wedge the nucleation field diverges as $H_{c3\mathrm{}}{/H}_{c2\mathrm{}}=\sqrt{3}/\alpha$ with decreasing angle (α) of the wedge, where $H_{c2\mathrm{}}$ is the bulk upper critical field.