Electron density of states for the free-electron model in two dimensions

In the free electron model in two dimensions, the density of states is,

and the Fermi energy is,

Here n is the two dimensional electron density.

D(E) [1018 eV-1 m-2]

Energy [eV]

n = m-2  

 

E [eV]    D(E) [eV-1 m-2 ]