The electric field of an electron in a electron-hole plasma with degenerate electrons

TL;DR

This paper explores the potential for superconductivity in electron-hole plasmas with degenerate electrons, focusing on the attractive interactions mediated by electron-hole sound waves and the formation of Cooper pairs.

Contribution

It introduces a new model of electron-electron interaction potential in degenerate electron-hole plasmas, highlighting conditions for Cooper pair formation and superconductivity.

Findings

Interaction potential is attractive beyond the Debye radius.

Potential decreases as 1/r^3 at large distances.

Conditions for bound electron states (Cooper pairs) are discussed.

Abstract

We consider the possibility of formation of a superconductivity state either in a semiconductor or in a electron-hole plasma with the degenerate electrons due to the attractive forces between the electrons as a result of the exchange effects through the electron-hole sound wave by analogy to the phonon waves in a solid state. We have determined the view of an interaction potential between two electrons in a degenerate electron-hole plasma. The potential appears to be attractive at distances large than the Debye radius and decreases as $1/r^3$. We discuss the conditions at which the bound electron state - Cooper Pair in a such field can be formed.