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We apply a recently introduced hybridization-flow functional renormalizationgroup scheme for Anderson-like impurity models as an impurity solver in adynamical mean-field theory (DMFT) approach to lattice Hubbard models. Wepresent how this scheme is capable of reproducing metallic and insulatingsolutions of the lattice model. Our setup also offers a numerically ratherinexpensive method to calculate two-particle correlation functions. For theparamagnetic Hubbard-model on the Bethe lattice in infinite dimensions wecalculate the local two-particle-vertex for the metallic and the insulatingphase. Then we go to a two-site cluster-DMFT-scheme for the two-dimensionalHubbard-model that includes short-range antiferromagnetic fluctuations andobtain the local and non-local two-particle-vertex-functions. We discuss therich frequency structures of these vertices and compare with the vertex in thesingle-site solution.

Two-particle-correlations in a functional renormalization group scheme using a dynamical mean-field theory approach