Thanks Dr. Blom. Yes, I understand where the Landauer formula comes from and usage from some textbooks. However, I tried to ask that apart from calculating the current with the formula you've mentioned; would it be possible to include phonon effects by considering the average number of phonons in a crystal and relating its effects on the transmission of the system, T(E). Then, after modifying T(E), the Landauer formula could be again used to calculate the current. I just thought loudly, these may or may not be possible mathematically.
Or can the effects of phonons be included in a semi - emprical way
Thanks very much for your kind response again.
Cheers,
Serhan