Third-Order Magnetic Susceptibility of an Ideal Fermi Gas
Abstract
At low temperature and under weak magnetic field, non-interacting Fermi gases reveal both Pauli paramagnetism and Landau diamagnetism, and the magnitude of the diamagnetic susceptibility is 1/3 of that of the paramagnetic one. When the temperature is finite and the magnetic field is also finite, we demonstrate that the paramagnetism and diamagnetism start to deviate from the ratio 1/3. For understanding the magnetic properties of an ideal Fermi gas at quite low temperature and under quite weak magnetic field, we work out explicitly the third-order magnetic susceptibility in three cases, from intrinsic spin, orbital motion and in total. An interesting property is in third-order magnetic susceptibilities: when viewing individually, they are both diamagnetic, but in total it is paramagnetic.
Supported by National Natural Science Foundation of China under Grant No. 11675051- Publication:
-
Communications in Theoretical Physics
- Pub Date:
- November 2018
- DOI:
- 10.1088/0253-6102/70/5/619
- Bibcode:
- 2018CoTPh..70..619L