Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 59: Low-Dimensional Systems: 2D - Theory (organized by TT)

TT 59.8: Talk

Wednesday, April 2, 2014, 11:30–11:45, BEY 81

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 1040 Vienna, Austria — ²Faculty of Physics, University of Vienna, 1090 Vienna, Austria — ³Department of Physics, Harvard University, 17 Oxford St., MA 02138, USA — ⁴Institute of Metal Physics, Russian Academy of Sciences and Ural Federal University, Ekaterinburg, Russia — ⁵Max Planck Institute for Solid State Research, 70569 Stuttgart, Germany

We present a novel scheme[1] 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.
C. Taranto, S. Andergassen, J. Bauer, K. Held, A. Katanin, W. Metzner, G. Rohringer, and A. Toschi, arXiv: 1307.3475.