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.


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