Calculating Fermi Level in Quantum Wells

[Cerkit]

Hi. Does anyone know how to calculate the fermi level for the conduction band in a quantum well?

 

[kanato]

Solve or approximate

\int_{-\infty}^\mu g(E) dE = N

where g(E) is the density of states, and N is the total number of electrons.

 

[Cerkit]

Can you explain the terms in equation a bit more. Also how do you know the total number of electrons?

 

[kanato]

Your problem statement is not specific enough to answer your question. You are solving for the Fermi energy in the conduction band of what? You know the number of electrons because they equal the number of protons in your system, unless it's charged.

 

[Cerkit]

I need to determine the distribution of electrons in a quantum well and therefore require the value of the fermi level in the conduction band.