Eur. Phys. J. B (2015) 88: 246
https://doi.org/10.1140/epjb/e2015-60341-9

Regular Article

Magnetic properties of spin-1/2 Fermi gases with ferromagnetic interaction

¹ Department of Physics, University of Science and Technology Beijing, Beijing 100083, P.R. China
² Department of Physics, Beihang University, Beijing 100191, P.R. China

^a e-mail: jhqin@sas.ustb.edu.cn

Received: 30 April 2015
Received in final form: 11 August 2015
Published online: 5 October 2015

Abstract

We investigate the magnetic properties of spin-1/2 charged Fermi gases with ferromagnetic coupling via mean-field theory, and find the interplay among the paramagnetism, diamagnetism and ferromagnetism. Paramagnetism and diamagnetism compete with each other. When increasing the ferromagnetic coupling the spontaneous magnetization occurs in a weak magnetic field. The critical ferromagnetic coupling constant of the paramagnetic phase to ferromagnetic phase transition increases linearly with the temperature. Both the paramagnetism and diamagnetism increase when the magnetic field increases. It reveals the magnetization density M̅ increases firstly as the temperature increases, and then reaches a maximum. Finally the magnetization density M̅ decreases smoothly in the high temperature region. The domed shape of the magnetization density M̅ variation is different from the behavior of Bose gas with ferromagnetic coupling. We also find the curve of susceptibility follows the Curie-Weiss law, and for a given temperature the susceptibility is directly proportional to the Landé factor.