Surface superconducting states in mesoscopic superconductors under different boundary conditions

摘要

The surface superconductivity of a mesoscopic superconducting cylinder in an external parallel magnetic field is discussed within the framework of the linearized Ginzburg-Landau equation under different boundary conditions. For the superconductor/insulator interface, our calculations give the corrugation-like phase boundary H-c3(T), with oscillating ripples as a result of the switching of the "giant vortex state" wave function between different angular quantum number L. The tangent for the linear background of the phase boundary H-c3(T) is about 1.7 times H-c2(T), consistent with the well-known result in bulk surface superconductivity. For the superconductorormal-metal interface, surface superconductivity disappears, accompanied by a decrease in the superconducting transition temperature T-c(H = 0). [References: 10]