Volume 141, Number 1, January 2023
|Number of page(s)||6|
|Section||Condensed matter and materials physics|
|Published online||04 January 2023|
Dynamical vertex correction to the generalized Kadanoff-Baym Ansatz
1 Institute of Physics AS CR - 182 21 Praha 8, Czech Republic
2 Faculty of Mathematics and Physics, Charles University - Ke Karlovu 5, 121 16 Praha 2, Czech Republic
(a) E-mail: firstname.lastname@example.org (corresponding author)
Received: 26 July 2022
Accepted: 21 December 2022
The generalized Kadanoff-Baym Ansatz, used to simplify the non-equilibrium Green's functions to the kinetic equation for the density matrix, leads to an incorrect dynamics of a system if the self-energy has a rich energy spectrum. We propose an approximation of the vertex correction which dynamically changes with the density matrix while it benefits from simplicity of stationary propagators. On the molecular bridge between ferromagnetic leads, we demonstrate that this simple vertex fixes the failure of the kinetic equation on a negligible computational cost.
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