Competition between paramagnetism and diamagnetism in charged Fermi gases

Details Competition between paramagnetism and diamagnetism in charged Fermi gases Competition between paramagnetism and diamagnetism in charged Fermi gases

2010-06-27

arxiv.org/abs/1006.5179v1

Phys. Lett. A 374, 2580 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

The charged Fermi gas with a small Lande-factor $g$ is expected to be diamagnetic, while that with a larger $g$ could be paramagnetic. We calculate the critical value of the $g$-factor which separates the dia- and para-magnetic regions. In the weak-field limit, $g_{c}$ has the same value both at high and low temperatures, $g_{c}=1/\sqrt{12}$. Nevertheless, $g_{c}$ increases with the temperature reducing in finite magnetic fields. We also compare the $g_{c}$ value of Fermi gases with those of Boltzmann and Bose gases, supposing the particle has three Zeeman levels $\sigma=\pm1, 0$, and find that $g_{c}$ of Bose and Fermi gases is larger and smaller than that of Boltzmann gases, respectively.

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