Comparative study of the Meissner and skin effects in superconductors

TL;DR

This paper investigates the Meissner and skin effects in superconductors using classical equations, exploring their connection, and predicting phenomena like the radial Hall effect, providing insights into superconducting energy properties.

Contribution

It offers a novel classical approach to analyze the Meissner and skin effects, connecting them and predicting the radial Hall effect in superconductors.

Findings

Radial Hall effect predicted in superconductors.

Energy associated with the Meissner effect calculated and compared.

Framework unifies analysis of Meissner and skin effects.

Abstract

The Meissner effect is studied by using an approach based on Newton and Maxwell's equations. The objective is to assess the relevance of London's equation and shed light on the connection between the Meissner and skin effects. The properties of a superconducting cylinder, cooled in a magnetic field, are accounted for within the same framework. The radial Hall effect is predicted. The energy, associated with the Meissner effect, is calculated and compared with the binding energy of the superconducting phase with respect to the normal one.