Massive electrodynamics for London's superconductivity and Josephson effect

TL;DR

This paper develops a massive electrodynamics framework for London's superconductivity and the Josephson effect, linking electromagnetic properties to massive boson propagation and revealing novel quantized phenomena.

Contribution

It introduces a massive boson model for superconductivity and Josephson effects, connecting critical parameters to boson mass and predicting new quantized electric properties.

Findings

Mass of the boson depends on the critical current.

Electromagnetic interaction is mediated by a massive boson.

Quantized resistance and capacitance are predicted.

Abstract

Massive electrodynamics for London's superconductivity and Josephson effect are derived. The propagation of massive boson inside a medium yields electric phenomena that are reflected in the Josephson effect. Critical force, magnetic field and temperature are found to be related to the critical current of the junction. The mass of the boson depends only on the critical current of the junction. The electromagnetic interaction between the Cooper pairs in the two sides of the superconductor in the josephson junction is mediated by a massive boson. The propagation of the electromagnetic waves mediated by the massive bosons gives rise to the electric properties of the Josephson junction. Of these properties are a quantized resistance of Hall type corresponding to a non-quantized magnetic flux, and a quantized capacitance. A non zero magnetic flux encompassing a magnetic charge is found to arise despite the fact that it is not a priori assumed.