Dear Ran,
To my understanding, you can not do that: Kwant solves the Schrodinger
equation on a lattice whereas your paper studies a lattice wave equation
which is different since it is quadratic in the time derivative.
I hope this helps,
Adel
On Fri, Jul 10, 2020 at 9:35 PM Ran Mutc
Dear Adel,
For clarity, let me explain what I'd like to perform, via this paper: https://arxiv.org/pdf/0802.2761.pdf
What I'd like to calculate is the transmission of phonons, e.g. please see right subfigure of Fig. 1 in the paper. My plan is to calculate the Caroli formula (Eq. 57) in which the self energies and Green's functions are of phonons.
For example, rather than calculating the electron Green's function as G=[EI-H-sigma_L(E)-sigma_R(E)]^-1 I need to calculate the phonon Green's function as G=[w^2*I-K-sigma_L(w)-sigma_R(w)]^-1. Here K is the dynamical matrix, please see Eq. (2) in the paper above. I guess I'd need the surface Green's functions to calculate the self energies.
My question is whether doing all these is possible in Kwant or not? I tried to search the mail-list but couldn't encounter with anyone done that. So I thought maybe it is not doable at all and wanted to ask.
Would it be possible to calculate the transmission of phonons in Kwant by this way or any other?
Best, Ran
-- Abbout Adel