On a possibility of effective electron attraction without "a glue"

TL;DR

This paper explores how two electrons in a periodic potential can exhibit effective attraction without mediating agents, suggesting a new perspective on electron pairing in high-temperature superconductors.

Contribution

It demonstrates theoretically that electrons can experience effective attraction solely due to a periodic potential, without traditional mediating particles.

Findings

Electrons in a periodic potential can have effective attraction.

Potential implications for high-temperature superconductivity.

No mediating agents are necessary for electron pairing.

Abstract

With the means of Schrodinger equation a two electron problem is considered. It is shown that electrons in a periodic potential might experience effective attraction without any mediating agents; which means electrons in HTSC might have effective attraction potential.