Pair-breaking of multi-gap superconductivity under parallel magnetic fields in electric-field-induced surface metallic state

TL;DR

This study investigates how parallel magnetic fields affect multi-gap superconductivity in electric-field-induced surface metallic states, revealing sub-band contributions and potential signatures for identifying multi-gap structures.

Contribution

It provides a detailed analysis of paramagnetic and diamagnetic pair-breaking effects on multi-gap surface superconductivity using Bogoliubov-de Gennes equations.

Findings

Sub-band contributions emerge with increasing magnetic fields.

Magnetic field dependence reveals multi-gap structure signatures.

Characteristic magnetic field responses can identify multi-gap superconductivity.

Abstract

Roles of paramagnetic and diamagnetic pair-breaking effects in superconductivity in electric-field-induced surface metallic state are studied by Bogoliubov-de Gennes equation, when magnetic fields are applied parallel to the surface. The multi-gap states of sub-bands are related to the depth dependence and the magnetic field dependence of superconductivity. In the Fermi-energy density of states and the spin density, sub-band contributions successively appear from higher-level sub-bands with increasing magnetic fields. The characteristic magnetic field dependence may be a key feature to identify the multi-gap structure of the surface superconductivity.