New Theory of Superconductivity

TL;DR

This paper introduces a new general theory of superconductivity based on stable electron pairing via phonons, deriving an equation that predicts critical temperatures and aligns well with experimental data for low-temperature superconductors.

Contribution

It presents a novel general equation for superconductivity derived from a self-consistent field approach, differing from BCS theory, and predicts critical temperatures based on stable electron pairing.

Findings

Derived a temperature-dependent screening equation for electron pairs.

Predicted critical temperatures consistent with experimental data.

Applied the theory successfully to low-temperature superconductors.

Abstract

A General Theory of Superconductivity with points of view differing from those of the BCS Theory is presented in two parts. In the first part, a general equation for the superconductivity is obtained; based on the stable pairing of two electrons bound by a phonon for any type of superconductor material. This equation comes from a self consistent field calculation with a screening which is temperature dependent; showing that the total energy of the electron pair is constant and the local energy of the paired electrons is equal to that of the phonon in the range 0 K to critical temperature. A specific condition for the existence of the superconducting state is established allowing the prediction of the critical temperature. In the second part, the general equation is applied to low critical temperature superconductors where new results, in good agreement with experimental data, are calculated.