Upper critical field for superconductors with edges and corners

Abstract.

The effect of non-smoothness of sample surfaces on the value of the upper critical field $H_{C_3}$ and on the location of superconductivity nucleation is discussed. It is shown that, superconducting samples with edges and corners have higher value of $H_{C_3}$ comparing to samples with smooth surfaces. Superconductivity nucleates first at the top and bottom edges in a cylinder with a finite height, and nucleates first at vertices in a cuboid.