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We propose an improved fast multi-orbital impurity solver for the dynamicalmean field theory (DMFT) based on equations of motion (EOM) of Green'sfunctions and decoupling scheme.  In this scheme the inter-orbital Coulomb interactions are treated fullyself-consistently, involving the inter-orbital fluctuations. As an example ofthe derived multi-orbital impurity solver, the two-orbital Hubbard model isstudied for various cases. Comparisons are made between numerical resultsobtained with our EOM scheme and those obtained with quantum Monte Carlo andnumerical renormalization group methods. The comparison substantiates a goodagreement, but also reveals a dissimilar behavior in the densities of states(DOS) which is caused by inter-site inter-orbital hopping effects and on-siteinter-orbital fluctuation effects, thus corroborating the value of the EOMmethod for the study of multi-orbital strongly correlated systems.

Advanced multi-orbital impurity solver for dynamical mean field theory based on the equation of motion approach