# The maximal current carried by a normal-superconducting interface in the absence of magnetic field

## TL;DR

This paper investigates the maximum current at a normal-superconducting interface, showing it decreases as normal conductivity approaches zero, with implications for superconducting device performance.

## Contribution

It provides a mathematical analysis of how the maximal current depends on normal conductivity at a normal-superconducting boundary.

## Key findings

- Maximal current decreases with diminishing normal conductivity.
- Asymptotic analysis near the boundary shows convergence to superconducting state.
- Results inform design limits for superconducting interfaces.

## Abstract

Modeling a normal/superconducting interface, we consider a semi-infinite wire whose edge is adjacent to a normal magnetic metal, assuming asymptotic convergence, away from the boundary, to the purely superconducting state. We obtain that the maximal current which can be carried by the interface diminishes in the small normal conductivity limit.