Regensburg 2013 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 48: Correlated Electrons: Quantum-Critical Phenomena - Theory
TT 48.6: Vortrag
Mittwoch, 13. März 2013, 18:15–18:30, H19
Charge order in the Falicov-Kimball model - a dual fermion approach — •Andrey Antipov1,2, Emanuel Gull3, and Stefan Kirchner1,2 — 1Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany — 2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany — 3Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
We study charge ordering in the Falicov-Kimball model in 2,3,4, and infinite dimensions within the dynamical mean field theory (DMFT) and its recently developed dual fermion extension, which allows for the systematic diagrammatic description of the spatial corrections to the DMFT solution. We focus on the critical properties of the model and compare various levels of approximations. The Falicov-Kimball model is particularly well suited to this purpose as the reducible n-point vertices entering a dual fermion calculation can be constructed analytically from the exactly solvable DMFT limit. We make a comparison to exactly known results.