Surface energy and magneto-capacitance of superconductors under electric field bias

Abstract

A superconducting layer exposed to a perpendicular electric field and a parallel magnetic field is considered within the Ginzburg-Landau (GL) approach. The GL equation is solved near the surface and the surface energy is calculated. The nucleation critical field of superconducting state at the surface depends on the magnetic and electric fields. Special consideration is paid to the induced magnetic-field effect cause d by diamagnetic surface currents. The latter effect is strongly dependent on the thickness of the sample. The effective inverse capacitance determines the effective penetration depth. It is found that the capacitance exhibits a jump at the surface critical field. An experiment is suggested for determining the change in the effective capacitance of the layer.

References in corpus (5)

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• Ginzburg-Landau theory of superconducting surfaces under electric fields
• Bernoulli potential in type-I and weak type-II supercoductors: II. Surface dipole
• Density Waves in a Transverse Electric Field
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Cited by in corpus (4)

• Field-Effect Control of Metallic Superconducting Systems
• Superconducting size effect in thin films under electric field: mean-field self-consistent model
• Discontinuity of capacitance at the onset of surface superconductivity
• Phase slips dynamics in gated Ti and V all-metallic supercurrent nano-transistors: a review