Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 86: Correlated Electrons: (General) Theory 2

TT 86.8: Talk

Thursday, March 19, 2015, 11:30–11:45, H 3005

From infinite to two dimensions through the functional renormalization group — •Ciro Taranto¹, Sabine Andergassen², Johannes Bauer³, Karsten Held¹, Andrey Katanin⁴, Walter Metzner⁵, Georg Rohringer¹, and Alessandro Toschi¹ — ¹Institute for solid state physics, Vienna University of Technology, Austria — ²Institute for theoretical physics and CQ center for collective quantum phenomena, University of Tübingen, Germany — ³Department of Physics, Harvard University, Usa — ⁴Institute of metal Physics, Ural Federal University, Ekatrinburg, Russia — ⁵Max Planck institute for Solid State research, Stuttgart, Germany

We present a novel scheme for an unbiased and non-perturbative treatment of strongly correlated fermions. The proposed approach combines two of the most successful many-body methods, i.e., the dynamical mean field theory (DMFT) and the functional renormalization group (fRG). Physically, this allows for a systematic inclusion of non-local correlations via the flow equations of the fRG, after the local correlations are taken into account non-perturbatively by the DMFT. To demonstrate the feasibility of the approach, we present numerical results for the two-dimensional Hubbard model at half-filling.