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

Journal Article · Fri Jul 10 00:00:00 EDT 1992 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979292001195· OSTI ID:7070871

Lopez-Aguilar, F; Costa-Quintana, J ^[1]

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1. Dept. de Fisica, Grupo de Electromagnetismo, Univ. Autonoma de Barcelona, Bellaterra, E-08193 Barcelona (ES)

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.

• OSTI ID: 7070871
• Journal Information: International Journal of Modern Physics B; (United States), Vol. 6:13; ISSN 0217-9792
• Country of Publication: United States
• Language: English

Related Subjects

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-)