Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interaction

TL;DR

This paper extends quantum hydrodynamics to include Coulomb exchange interaction, demonstrating the existence of spin-electron acoustic solitons and analyzing how various factors influence their properties.

Contribution

The work introduces a generalized model incorporating exchange interaction into spin evolution quantum hydrodynamics, revealing new soliton solutions in spin-electron systems.

Findings

Existence of spin-electron acoustic solitons confirmed.

Exchange interaction significantly affects soliton properties.

Concentration and spin polarization influence soliton behavior.

Abstract

Separate spin evolution quantum hydrodynamics is generalized to include the Coulomb exchange interaction. The Coulomb exchange interaction is considered as the interaction between the spin-down electrons being in the quantum states occupied by one electron, giving main contribution in the equilibrium. The generalized model is applied to study the non-linear spin-electron acoustic waves. Existence of the spin-electron acoustic soliton is demonstrated. Contributions of the concentration, spin polarization, and exchange interaction in the properties of the spin electron acoustic soliton are studied.