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Irreducible Greens` Functions method in the theory of highly correlated systems

Technical Report:

Abstract

The self-consistent theory of the correlation effects in Highly Correlated Systems (HCS) is presented. The novel Irreducible Green`s Function (IGF) method is discussed in detail for the Hubbard model and random Hubbard model. The interpolation solution for the quasiparticle spectrum, which is valid for both the atomic and band limit is obtained. The (IGF) method permits to calculate the quasiparticle spectra of many-particle systems with the complicated spectra and strong interaction in a very natural and compact way. The essence of the method deeply related to the notion of the Generalized Mean Fields (GMF), which determine the elastic scattering corrections. The inelastic scattering corrections leads to the damping of the quasiparticles and are the main topic of the present consideration. The calculation of the damping has been done in a self-consistent way for both limits. For the random Hubbard model the weak coupling case has been considered and the self-energy operator has been calculated using the combination of the IGF method and Coherent Potential Approximation (CPA). The other applications of the method to the s-f model, Anderson model, Heisenberg antiferromagnet, electron-phonon interaction models and quasiparticle tunneling are discussed briefly. (author). 79 refs.
Authors:
Publication Date:
Sep 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/292
Reference Number:
SCA: 665400; PA: AIX-26:014021; EDB-95:033003; SN: 95001325770
Resource Relation:
Other Information: PBD: Sep 1994
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HUBBARD MODEL; DYSON REPRESENTATION; ELECTRON CORRELATION; BAND THEORY; ELECTRONIC STRUCTURE; GREEN FUNCTION; INTERPOLATION; IRREDUCIBLE REPRESENTATIONS; MEAN-FIELD THEORY; 665400; QUANTUM PHYSICS ASPECTS OF CONDENSED MATTER
OSTI ID:
10112983
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95614446; TRN: XA9438443014021
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
27 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kuzemsky, A L. Irreducible Greens` Functions method in the theory of highly correlated systems. IAEA: N. p., 1994. Web.
Kuzemsky, A L. Irreducible Greens` Functions method in the theory of highly correlated systems. IAEA.
Kuzemsky, A L. 1994. "Irreducible Greens` Functions method in the theory of highly correlated systems." IAEA.
@misc{etde_10112983,
title = {Irreducible Greens` Functions method in the theory of highly correlated systems}
author = {Kuzemsky, A L}
abstractNote = {The self-consistent theory of the correlation effects in Highly Correlated Systems (HCS) is presented. The novel Irreducible Green`s Function (IGF) method is discussed in detail for the Hubbard model and random Hubbard model. The interpolation solution for the quasiparticle spectrum, which is valid for both the atomic and band limit is obtained. The (IGF) method permits to calculate the quasiparticle spectra of many-particle systems with the complicated spectra and strong interaction in a very natural and compact way. The essence of the method deeply related to the notion of the Generalized Mean Fields (GMF), which determine the elastic scattering corrections. The inelastic scattering corrections leads to the damping of the quasiparticles and are the main topic of the present consideration. The calculation of the damping has been done in a self-consistent way for both limits. For the random Hubbard model the weak coupling case has been considered and the self-energy operator has been calculated using the combination of the IGF method and Coherent Potential Approximation (CPA). The other applications of the method to the s-f model, Anderson model, Heisenberg antiferromagnet, electron-phonon interaction models and quasiparticle tunneling are discussed briefly. (author). 79 refs.}
place = {IAEA}
year = {1994}
month = {Sep}
}