The magnetization is the derivative of the internal energy with respect to the magnetic field, $m = -\mu_0\frac{du}{dB}$.
B [T]
Electron density: n =
Minimum B field: Bmin =
Maximum B field: Bmax =
g - factor =
As $B\rightarrow0$, the magnetization oscillates around $m=0$. At very high magnetic fields, only the lowest Landau level is occupied. For $g=2$, the Landau energy that increases linearly with magnetic field cancels the Zeeman that decreases linearly with magnetic field and the magnetization goes to zero. The oscillations in the magnetization are called the De Haas-Van Alphen.