title: From infinite to two dimensions through the functional renormalization group.
abstract: We present a novel scheme for an unbiased, nonperturbative treatment of strongly correlated fermions. The proposed approach combines two of the most successful many-body methods, the dynamical mean field theory and the functional renormalization group. Physically, this allows for a systematic inclusion of nonlocal correlations via the functional renormalization group flow equations, after the local correlations are taken into account nonperturbatively by the dynamical mean field theory. To demonstrate the feasibility of the approach, we present numerical results for the two-dimensional Hubbard model at half filling.
authors.affiliation: Institute for Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria.
authors.forename: C
authors.initials: C
authors.lastname: Taranto
authors.affiliation: Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.
authors.forename: S
authors.initials: S
authors.lastname: Andergassen
authors.affiliation: Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA.
authors.forename: J
authors.initials: J
authors.lastname: Bauer
authors.affiliation: Institute for Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria.
authors.forename: K
authors.initials: K
authors.lastname: Held
authors.affiliation: Institute of Metal Physics, 620990 Ekaterinburg, Russia and Ural Federal University, 620002 Ekaterinburg, Russia.
authors.forename: A
authors.initials: A
authors.lastname: Katanin
authors.affiliation: Max Planck Institute for Solid State Research, 70569 Stuttgart, Germany.
authors.forename: W
authors.initials: W
authors.lastname: Metzner
authors.affiliation: Institute for Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria.
authors.forename: G
authors.initials: G
authors.lastname: Rohringer
authors.affiliation: Institute for Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria.
authors.forename: A
authors.initials: A
authors.lastname: Toschi