Berlin 2008 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe
TT: Fachverband Tiefe Temperaturen
TT 28: Correlated Electrons: Metal-Insulator Transition 1
TT 28.8: Vortrag
Donnerstag, 28. Februar 2008, 11:30–11:45, H 2053
Real-space DMFT for inhomogeneous strongly correlated fermionic systems — •Michiel Snoek1, Csaba Toke1, Irakli Titvinidze1, Krzysztof Byczuk2, and Walter Hofstetter1 — 1J. W. Goethe-Universität, Frankfurt am Main, Deutschland — 2Universität Augsburg, Augsburg, Deutschland
We introduce the real-space dynamical mean-field theory (R-DMFT) method to describe strongly interacting lattice fermions in the presence of an external, space dependent potential. This method relies only on the assumption that the self-energy is a local quantity and is exact in infinite dimensions. The power of the method is demonstrated by calculating Friedel oscillations in an ultracold Fermi gas in an optical lattice. Using the numerical renormalization group (NRG) and exact diagonalization as impurity solvers, we study the Mott transition in a harmonically confined Fermi gas in an optical lattice. In particular, the emergence of antiferromagnetic structures in the Fermi gas is analyzed in detail.