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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 groupCiro Taranto1, Sabine Andergassen2, Johannes Bauer3, Karsten Held1, Andrey Katanin4, Walter Metzner5, Georg Rohringer1, and •Alessandro Toschi11Institute 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.

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