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Discretized thermal Green's functions

Journal article
Authors Mats Granath
Andro Sabashvili
Hugo Strand
Stellan Östlund
Published in Annalen der Physik
Volume 524
Issue 3-4
Pages 147-152
ISSN 0003-3804
Publication year 2012
Published at Department of Physics (GU)
Pages 147-152
Language en
Subject categories Condensed Matter Physics


We present a spectral weight conserving formalism for Fermionic thermal Green's functions that are discretized in imaginary time τ and thus periodic in imaginary (“Matsubara”) frequency i ωn. The formalism requires a generalization of the Dyson equation G (G0, Σ) and the Baym-Kadanoff-Luttinger-Ward functional for the free energy β Ω = Γ (G). A conformal transformation is used to analytically continue the periodized Matsubara Green's function to real frequencies in a way that conserves the discontinuity at t = 0 of the corresponding real-time Green's function. This allows numerical Green's function calculations of very high precision and it appears to give a well controlled convergent approximation in the τ discretization. The formalism is tested on dynamical mean field theory calculations of the paramagnetic Hubbard model.

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