Fermi energy as a function of magnetic field for free electrons in 2d

The general condition for the Fermi energy is,

$$n=\int\limits_{-\infty}^{E_F}D(E)dE.$$

Here $n$ is the electron density and $D(E)$ is the density of states. For free electrons in a magnetic field at very low temperatures, the number of completely filled Landau levels will be the integer part of $\frac{n}{D_0}$. The highest occupied Landau level is partially filled and is at the Fermi energy.

EF [eV] 

1/B [T-1]

Electron density: n =

[m-2]

Maximum B field: Bmax =

[T]

Minimum B field: Bmin =

[T]

g - factor =