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Title: Functional renormalization-group approaches, one-particle (irreducible) reducible with respect to local Green’s functions, with dynamical mean-field theory as a starting point

Abstract

We consider formulations of the functional renormalization-group (fRG) flow for correlated electronic systems with the dynamical mean-field theory as a starting point. We classify the corresponding renormalization-group schemes into those neglecting one-particle irreducible six-point vertices (with respect to the local Green’s functions) and neglecting one-particle reducible six-point vertices. The former class is represented by the recently introduced DMF{sup 2}RG approach [31], but also by the scale-dependent generalization of the one-particle irreducible representation (with respect to local Green’s functions, 1PI-LGF) of the generating functional [20]. The second class is represented by the fRG flow within the dual fermion approach [16, 32]. We compare formulations of the fRG approach in each of these cases and suggest their further application to study 2D systems within the Hubbard model.

Authors:
 [1]
  1. Russian Academy of Sciences, Miheev Institute of Metal Physics, Ural Branch (Russian Federation)
Publication Date:
OSTI Identifier:
22472215
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 120; Journal Issue: 6; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; FERMIONS; GREEN FUNCTION; HUBBARD MODEL; IRREDUCIBLE REPRESENTATIONS; MEAN-FIELD THEORY; RENORMALIZATION

Citation Formats

Katanin, A. A., E-mail: katanin@mail.ru. Functional renormalization-group approaches, one-particle (irreducible) reducible with respect to local Green’s functions, with dynamical mean-field theory as a starting point. United States: N. p., 2015. Web. doi:10.1134/S1063776115050039.
Katanin, A. A., E-mail: katanin@mail.ru. Functional renormalization-group approaches, one-particle (irreducible) reducible with respect to local Green’s functions, with dynamical mean-field theory as a starting point. United States. doi:10.1134/S1063776115050039.
Katanin, A. A., E-mail: katanin@mail.ru. Mon . "Functional renormalization-group approaches, one-particle (irreducible) reducible with respect to local Green’s functions, with dynamical mean-field theory as a starting point". United States. doi:10.1134/S1063776115050039.
@article{osti_22472215,
title = {Functional renormalization-group approaches, one-particle (irreducible) reducible with respect to local Green’s functions, with dynamical mean-field theory as a starting point},
author = {Katanin, A. A., E-mail: katanin@mail.ru},
abstractNote = {We consider formulations of the functional renormalization-group (fRG) flow for correlated electronic systems with the dynamical mean-field theory as a starting point. We classify the corresponding renormalization-group schemes into those neglecting one-particle irreducible six-point vertices (with respect to the local Green’s functions) and neglecting one-particle reducible six-point vertices. The former class is represented by the recently introduced DMF{sup 2}RG approach [31], but also by the scale-dependent generalization of the one-particle irreducible representation (with respect to local Green’s functions, 1PI-LGF) of the generating functional [20]. The second class is represented by the fRG flow within the dual fermion approach [16, 32]. We compare formulations of the fRG approach in each of these cases and suggest their further application to study 2D systems within the Hubbard model.},
doi = {10.1134/S1063776115050039},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 6,
volume = 120,
place = {United States},
year = {2015},
month = {6}
}