Canuto, V., and H.-Y. Chiu, 1968: Magnetic moment of a magnetized Fermi gas. Phys. Rev., 173, 1229-1235, doi:10.1103/PhysRev.173.1229.
In this paper we have calculated the exact expression for the magnetic moment of a Fermi gas in a magnetic field (magnetized Fermi gas). The susceptibility obtained from our result becomes the classical Curie-Langevin law in the weak-field limit for a nondegenerate and nonrelativistic gas. The induced magnetic moment M was found to be proportional to the square of the electron density, but at higher densities M passes through a maximum and eventually becomes negative; hence a magnetized gas is first paramagnetic but later becomes diamagnetic. We have also shown that spontaneous magnetization cannot take place in a noninteracting electron gas.