Deriving DOS of Bilayer Graphene Under Electric Field

[Physicslad78]

Hi all. Is there any place where I can check how to derive the DOS of bilayer graphene subject to an external field. I have got the Hamiltonian right and solved the eenrgies but then I am not sure how to obtain the DOS right..


Thanks

 

[olgranpappy]

Easiest thing to do is lorentzian broadened approximation.

pi*rho(E)~ sum_i g/((E-e_i)**2+g**2)

For some small g (the broadening), where e_i are the energies which you already have. If those are correct the dos should look correct, but I don't actually have a check for you, sorry. Also, apologies about the typesetting, I'm typing this on my phone. Cheers.