Two-component Ginzburg–Landau theory of superconducting surfaces in transverse electric field

Abstract A boundary condition for the Ginzburg–Landau wave function of a two-component superconductor at surfaces biased by a strong transverse electric field is derived within the de Gennes approach. This boundary condition depends on two correlation lengths of order parameters. A small correlation length leads to the oscillations of the shift of the critical temperature of superconducting layers in the transverse electric field on layer width L . The superconducting temperature T c oscillates with the layer width also in the absence of the electric field in the two-band model. A simple theory of the field effect on the superconducting temperature of layers is developed.