Berlin 2012 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 34: Correlated Electrons: Metal-Insulator Transition 1

TT 34.1: Vortrag

Mittwoch, 28. März 2012, 16:30–16:45, H 3010

Periodized Matsubara Green’s functions — •Andro Sabashvili, Mats Granath, and Stellan Östlund — Department of Physics, University of Gothenburg, Gothenburg, Sweden

A new formalism for Fermionic thermal Green’s functions that are periodized in imaginary (Matsubara) frequency space is developed. The periodization requires a generalisation of the Dyson equation and Luttinger-Ward-Baym-Kadanoff functional. Due to the Matsubara Green’s function periodicity imaginary frequency space is relatively small which allows calculations at the extremely high precision which is necessary to perform a reliable analytic continuation. The formalism was tested on dynamical mean field theory calculations using iterated perturbation theory for the paramagnetic Hubbard model [1]. Currently the method together with the DRPA (dressed random phase approximation) is being used to study particular 2D models.
arXiv:1103.3516v2