Ferromagnetism of an Electron Gas

Abstract

The ferromagnetic stability of an electron gas (with uniform positive charge background) interacting through a Yukawa potential with an arbitrary screening parameter has been examined previously. Here three evaluations of the screening parameter based on Thomas-Fermi, self-consistency, and plasma-cutoff considerations are given and the corresponding ferromagnetic stability is discussed. It is concluded that for $r_s>9.4\mathrm{}$, where $\frac{4}{3}\pi {r_s}^3$ is the volume per electron, such a system may become ferromagnetic for the third type of screening, while the other two do not exhibit ferromagnetism at all.