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Title: Self-energies, renormalization factor, Luttinger sum rule and quasiparticle structure of the Hubbard systems

Abstract

In this paper, the authors give a method for obtaining the renormalized electronic structure of the Hubbard systems. The first step is the determination of the self-energy beyond the Hartree-Fock approximation. This self-energy is constructed from several dielectric response functions. The second step is the determination of the quasiparticle band structure calculation which is performed from an appropriate modification of the augmented plane wave method. The third step consists in the determination of the renormalized density of states deduced from the spectral functions. The analysis of the renormalized density of states of the strongly correlated systems leads to the conclusion that there exist three types of resonances in their electronic structures, the lower energy resonances (LER), the middle energy resonances (MER) and the upper energy resonances (UER). In addition, the authors analyze the conditions for which the Luttinger theorem is satisfied. All of these questions are determined in a characteristic example which allows to test the theoretical method.

Authors:
;  [1]
  1. Dept. de Fisica, Grupo de Electromagnetismo, Univ. Autonoma de Barcelona, Bellaterra, E-08193 Barcelona (ES)
Publication Date:
OSTI Identifier:
7070871
Resource Type:
Journal Article
Journal Name:
International Journal of Modern Physics B; (United States)
Additional Journal Information:
Journal Volume: 6:13; Journal ID: ISSN 0217-9792
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HUBBARD MODEL; ELECTRONIC STRUCTURE; DIELECTRIC PROPERTIES; ENERGY-LEVEL DENSITY; HARTREE-FOCK METHOD; QUASI PARTICLES; RENORMALIZATION; RESONANCE; SELF-ENERGY; SPECTRAL FUNCTIONS; SUM RULES; CRYSTAL MODELS; ELECTRICAL PROPERTIES; ENERGY; EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; 665400* - Quantum Physics Aspects of Condensed Matter- (1992-)

Citation Formats

Lopez-Aguilar, F, and Costa-Quintana, J. Self-energies, renormalization factor, Luttinger sum rule and quasiparticle structure of the Hubbard systems. United States: N. p., 1992. Web. doi:10.1142/S0217979292001195.
Lopez-Aguilar, F, & Costa-Quintana, J. Self-energies, renormalization factor, Luttinger sum rule and quasiparticle structure of the Hubbard systems. United States. https://doi.org/10.1142/S0217979292001195
Lopez-Aguilar, F, and Costa-Quintana, J. Fri . "Self-energies, renormalization factor, Luttinger sum rule and quasiparticle structure of the Hubbard systems". United States. https://doi.org/10.1142/S0217979292001195.
@article{osti_7070871,
title = {Self-energies, renormalization factor, Luttinger sum rule and quasiparticle structure of the Hubbard systems},
author = {Lopez-Aguilar, F and Costa-Quintana, J},
abstractNote = {In this paper, the authors give a method for obtaining the renormalized electronic structure of the Hubbard systems. The first step is the determination of the self-energy beyond the Hartree-Fock approximation. This self-energy is constructed from several dielectric response functions. The second step is the determination of the quasiparticle band structure calculation which is performed from an appropriate modification of the augmented plane wave method. The third step consists in the determination of the renormalized density of states deduced from the spectral functions. The analysis of the renormalized density of states of the strongly correlated systems leads to the conclusion that there exist three types of resonances in their electronic structures, the lower energy resonances (LER), the middle energy resonances (MER) and the upper energy resonances (UER). In addition, the authors analyze the conditions for which the Luttinger theorem is satisfied. All of these questions are determined in a characteristic example which allows to test the theoretical method.},
doi = {10.1142/S0217979292001195},
url = {https://www.osti.gov/biblio/7070871}, journal = {International Journal of Modern Physics B; (United States)},
issn = {0217-9792},
number = ,
volume = 6:13,
place = {United States},
year = {1992},
month = {7}
}