Chemical potential and Fermi level

[chikchok]

TL;DR

My question is aimed to know where fermi level depends on Density of states or not

Does fermi level (in metals) depend on the density of states? I am asking this because from fermi-dirac distribution it seems like that fermi level is non-dependent of DOS, but there is chemical potential in fermi-dirac distribution, which is said to be dependent of DOS.

 

[anuttarasammyak]

Say there are 2N electrons in the system, I think N-th number of states counting from the ground state would become Fermi energy level. In that sense not density but integrated total number of states and energy levels structure would matter.