Deriving DOS of Bilayer Graphene Under Electric Field

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SUMMARY

The discussion focuses on deriving the density of states (DOS) for bilayer graphene under an external electric field. The key method suggested is the Lorentzian broadened approximation, represented by the formula πρ(E) ~ Σi g/((E-e_i)²+g²), where e_i are the calculated energy levels and g is a small broadening parameter. This approach ensures that if the energy values are accurate, the resulting DOS will also be correct. The conversation highlights the importance of proper energy calculations in obtaining reliable DOS results.

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Physicslad78
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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
 
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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.
 

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