New Theory of Superconductivity (Part II): Confirmation at low temperature

TL;DR

This paper develops a theoretical framework for low-temperature superconductors, deriving equations for critical magnetic fields and specific heat, and compares these predictions with experimental data for tin and other materials.

Contribution

It introduces a specific phononic theory-based model for low-temperature superconductivity, deriving key thermodynamic and electrodynamical properties.

Findings

Derived an expression for the critical magnetic field as a function of temperature.

Calculated the specific heat and its jump at Tc for multiple superconductors.

Compared theoretical predictions with experimental data for tin and other materials.

Abstract

An application of the general equation obtained in Part I to low critical temperature superconductors utilizing an "ad hoc" phononic theory is developed. Then, we arrive to a specific expression for the bounding energy as a function of temperature. The density of states of the electron pairs is calculated and used to obtain an equation for the critical magnetic field. This result is needed for determine the electrodynamical properties. Finally, we obtain the specific heat as a function of temperature and compare it to experimental data for Sn, and calculate its jump at Tc for eight superconductors.