Electrodynamics in Superconductors Explained by Proca Equations

TL;DR

This paper introduces a comprehensive electrodynamics model for superconductors using Proca equations, revealing new insights into electric field penetration and deviations from traditional charge contributions.

Contribution

It develops a novel model based on Proca equations and massive photons to describe superconducting electrodynamics, including non-stationary regimes.

Findings

Electric field penetration depth analyzed with the new model

Deviation observed from previous charge contribution approaches

Model applicable to both stationary and non-stationary regimes

Abstract

A fully consistent model to study electrodynamics for superconductors in the stationary and non-stationary regime has been developed based on Proca equations and a massive photon. In particular, this approach has been applied to study the electric field penetration depth in superconductors. The model shows a deviation from the charge contribution to an internal electric field compared to previous approaches.