Hi all,

I'm working on calculations related to electron-phonon interactions during thermionic emission in a 2D material, using ab initio methods. I've come across the electron-phonon coupling constant, a dimensionless parameter commonly used in deriving the superconducting transition temperature. I'm curious about how this parameter can be related to thermal electron emission.

I can calculate the Density of States for my material and I have the Fermi-Dirac distribution at the emission temperature. I'm considering that incorporating the electron-phonon coupling constant might allow me to calculate a term for the emission probability, which could then yield the thermionic emission rate but I don't know the term. Could anyone assist me with this approach? Your help would be greatly appreciated

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