# CMT Seminar: f-electron propagator of the Falicov-Kimball model in the Wiener-Hopf sum equation approach

Monday, February 22, 2010 – 3:15pm

Reiss 261A

Nandan Pakhira

Georgetown University

We calculate the finite temperature, real time f-electron propagator for the Falicov-Kimball model. The general formula for the retarded Green’s function involves two determinants of continuous matrix operators that have the Toeplitz form. By employing the Wiener-Hopf sum equation approach and Szego’s theorem, we can derive exact analytical formulae for the Green’s functions in the limit of large time. In the small time limit we apply finite time iterative corrections to the asymptotic formulae which shows good agreement with the exact (numerically evaluated) Green’s functions. This method can be used to bench mark other numerical techniques like the Numerical Renormalization Group (NRG) and to calculate the Resonant Inelastic X-ray Scattering (RIXS) spectra in the Falicov-Kimball model.

Host: Jim Freericks