How the electron-phonon coupling mechanism work in metal superconductor

TL;DR

This paper explores a quantum model of electron-phonon coupling in metals, aiming to better understand the formation of Cooper pairs and the factors determining superconducting transition temperatures.

Contribution

It proposes an analogy with electrodynamics to describe electron-phonon interactions, providing a new operational quantum model for superconductivity in metals.

Findings

Quantum state calculation of Cooper pairs elucidates pairing mechanisms.

Model explains how transition temperature depends on material properties.

Identifies metals capable of low-temperature superconductivity.

Abstract

Superconductivity in some metals at low temperature is known to arise from an electron-phonon coupling mechanism. Such the mechanism enables an effective attraction to bind two mobile electrons together, and even form a kind of pairing system(called Cooper pair) to be physically responsible for superconductivity. But, is it possible by an analogy with the electrodynamics to describe the electron-phonon coupling as a resistivity-dependent attraction? Actually so, it will help us to explore a more operational quantum model for the formation of Cooper pair. In particularly, by the calculation of quantum state of Cooper pair, the explored model can provide a more explicit explanation for the fundamental properties of metal superconductor, and answer: 1) How the transition temperature of metal superconductor is determined? 2) Which metals can realize the superconducting transition at low temperature?