Superconducting Quantum Point contacts and Maxwell Potential

TL;DR

This paper reviews the quantization of current in superconducting quantum point contacts, analyzing how the critical current varies with temperature, carrier concentration, and potential models, revealing step-like behaviors.

Contribution

It introduces a model using Maxwell potential to study critical current variations, highlighting the impact of constriction width and carrier concentration on quantization effects.

Findings

Critical current exhibits step-like variation with constriction width.

Fermi wavelength comparable to constriction width influences quantization.

Maxwell potential provides insight into current quantization in superconducting contacts.

Abstract

The quantization of the current in a superconducting quantum point contact is reviewed and the critical current is discussed at different temperatures depending on the carrier concentration as well by suggesting a constant potential in the semiconductor and then a Maxwell potential. When the Fermi wave length is comparable with the constriction width we showed that the critical current has a step-like variation as a function of the constriction width and the carrier concentration.