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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 Antipov^1,2, Emanuel Gull³, and Stefan Kirchner^1,2 — 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.