The electric field of an electron in an electron–hole plasma with degenerate electrons: Possibility of formation of a superconductivity state

Abstract

We consider the possibility of the formation of a superconductivity state either in a semiconductor or in an electron-hole plasma with degenerate electrons due to the attractive forces between the electrons as a result of the exchange effects through the electron-hole sound wave by an analogy to the phonon waves in a solid state.We have determined an interaction potential between two electrons in a degenerate electron-hole plasma. The potential appears to be attractive at distances much larger than the Debye radius and decreases as 1/r 3 . We discuss the conditions in which the bound electron state, the so-called "Cooper Pair," in a such field can be formed. K E Y W O R D SCooper pair, degenerate plasma, electron, electron-hole plasma, field of the point charge 1 † To the Great memory of Prof. A.A. Rukhadze.