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"Anderson Impurity Model: Vertex corrections within the finite U Non-Crossing Approximation"
P. Roura-Bas, V. Vildosola, L.O. Manuel and A.M. Llois
Proc. of the Workshop "At the Frontiers of Condensed Matter IV - Current Trends and Novel Materials" (FCM2008), Buenos Aires, Argentina, December 9-12, 2008. Ed. J. Guevara, A.M. Llois, G. Lozano and R. Weht
Physica B Condens. Matter. 404(18) (2009) 2861-2864
We revise the simplest possible approximations to solve numerically the vertex equations for the single impurity Anderson model (SIAM) within the finite U non-crossing approximation (UNCA), considering the self-energies at lowest order in the 1/N diagrammatic expansion. We introduce an approximation to the vertex corrections that includes the double energy dependence and compare it with an approximation (NCAf2v) that neglects a second energy argument. Finally, we analyse the influence of the different approximations on the estimated Kondo scale for simple electronic models.
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