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 <mutc1r2...@gmail.com> wrote: > 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