## Surface superconductivity in applied magnetic fields above $$H_{C_2}$$.(English)Zbl 1004.82020

Summary: In this paper we study the surface superconductivity phenomenon of type 2 superconductors under applied magnetic fields above the critical field $$H_{C_2}$$. We show that, for a cylindrical superconductor of infinite height placed in a homogeneous applied magnetic field, $$H \mathbf e_3$$, with $$H$$ lying in between and keeping away from $$H_{C_2}$$ and $$H_{C_3}$$, superconductivity persists uniformly at a thin sheath surrounding the entire lateral surface of the sample. As the applied field decreases gradually, superconductivity in the surface sheath becomes strong and develops into a surface superconducting state, while the interior of the sample remains close to the normal state.

### MSC:

 82D55 Statistical mechanics of superconductors 47N55 Applications of operator theory in statistical physics (MSC2000)
Full Text: