Dynamical vertex correction to the generalized Kadanoff-Baym ansatz


 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 selfenergy 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.