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phonon DOS vs ELIASBERG FUNCTION

Posted: Fri Dec 29, 2017 8:14 pm
by topgun
dear all,

what is the difference between phonon DOS and eliasberg spectral function?
how the latter is different from the former?
if we have DOS what is the need for eliasberg spectral function?

regards
top gun

Re: phonon DOS vs ELIASBERG FUNCTION

Posted: Fri May 31, 2019 1:55 pm
by adenchfi
If by the Eliashberg function, you mean alpha^2 f(omega), then the difference is easy.
Phonon DOS = F(omega)
Eliashberg spectral function = alpha^2 (omega) F(omega), where alpha^2 is the electron-phonon coupling. One can think of the eliashberg spectral function as an electron-modified phonon DOS, I guess.

I recommend you read the EPW paper(s) for more answers. I know this answer is late, but perhaps others will benefit from the quick answer.