Ultimate speed of the supercurrent and its pairing mechanism

TL;DR

This paper explores the critical current in a 2D room-temperature superconductor, revealing that supercurrent can reach the speed of light, and proposes a new pairing mechanism linked to fundamental constants.

Contribution

It introduces a novel pairing mechanism based on London's canonical momentum and predicts the superconducting energy gap, connecting supercurrent speed to fundamental physical constants.

Findings

Supercurrent can reach the speed of light in the proposed RTSC.

A new pairing mechanism explains the superconductor's properties.

The superconducting energy gap $$ is predicted by the model.

Abstract

Recently, the room-temperature superconductor (RTSC) was discovered as a two-dimensional (2D) square lattice made of a metal wherein positive charges, i.e. holes, were heavily concentrated. The experimental result for the critical magnetic field $H_{c}$ was fully consistent with the view on the RTSC that its lattice unit -- a metal island -- is filled with the Slater's atoms. Each Slater's atom has the expanded diameter of 14.5 nm in order to have perfect diamagnetism with the magnitude corresponding to a single flux quantum $\phi_{0}$. Its expanded orbit is associated with the fine structure constant $\alpha \approx \frac{1}{137}$. In this paper, another important critical value -- the critical current $I_{c}$ -- is reported. It was found that the supercurrent has achieved the ultimate speed of matter, i.e., the speed of light, $c$. Beginning with a warm-up exercise for the Bohr's atom, how the Slater's atom is formed and why the $c$ appears are shown. These considerations lead to a simple view on the pairing mechanism of superconductivity, which also gives an ample indication of the most mysterious physical number $\alpha$. Finally, it is shown that the proposed pairing mechanism in terms of London's canonical momentum naturally generates the perfect diamagnetic $\phi_{0}$ of the Slater's atom, and the superconducting energy gap $\Delta$ is predicted.