Cluster expansion for the selfenergy: A simple manybody method for interpreting the photoemission spectra of correlated Fermi systems
Abstract
The selfenergy of a translational invariant system of interacting fermions may be expanded in diagrams contributing to the selfenergy of finite clusters with open boundary conditions. The exact solution of small clusters might therefore be used to construct a systematic approximation to the selfenergy of the infinite system. This approximation incorporates both the local and the itinerant degrees of freedom on an equal footing. We develop this method for the oneband Hubbard Hamiltonian and apply it to the threeband Hamiltonian of the CuO superconductors. Already the lowest nontrivial approximation yields interesting results for the spectral density useful for the interpretation of photoemission experiments. We find (i) transfer of spectral weight from the upper to the lower Hubbard band upon doping, (ii) the formation of an [ital isolated] band of ZhangRice singlets separated from the band of triplet states by a manybody gap, and (iii) creation of density of states [ital above] the top of the oxygen band upon doping.
 Authors:

 Institut fuer Physik, Universitaet Dortmund, Postfach 500 500, 4600 Dortmund 50 (Germany)
 Publication Date:
 OSTI Identifier:
 5654297
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, B: Condensed Matter; (United States)
 Additional Journal Information:
 Journal Volume: 48:1; Journal ID: ISSN 01631829
 Country of Publication:
 United States
 Language:
 English
 Subject:
 36 MATERIALS SCIENCE; COPPER OXIDES; CLUSTER EXPANSION; PHOTOEMISSION; HIGHTC SUPERCONDUCTORS; CORRELATEDPARTICLE MODELS; CRYSTAL DOPING; FERMI STATISTICS; HUBBARD MODEL; SELFENERGY; CHALCOGENIDES; COPPER COMPOUNDS; CRYSTAL MODELS; EMISSION; ENERGY; MATHEMATICAL MODELS; OXIDES; OXYGEN COMPOUNDS; PARTICLE MODELS; SECONDARY EMISSION; SERIES EXPANSION; SUPERCONDUCTORS; TRANSITION ELEMENT COMPOUNDS; 360207*  Ceramics, Cermets, & Refractories Superconducting Properties (1992)
Citation Formats
Gros, C, and Valenti, R. Cluster expansion for the selfenergy: A simple manybody method for interpreting the photoemission spectra of correlated Fermi systems. United States: N. p., 1993.
Web. doi:10.1103/PhysRevB.48.418.
Gros, C, & Valenti, R. Cluster expansion for the selfenergy: A simple manybody method for interpreting the photoemission spectra of correlated Fermi systems. United States. https://doi.org/10.1103/PhysRevB.48.418
Gros, C, and Valenti, R. Thu .
"Cluster expansion for the selfenergy: A simple manybody method for interpreting the photoemission spectra of correlated Fermi systems". United States. https://doi.org/10.1103/PhysRevB.48.418.
@article{osti_5654297,
title = {Cluster expansion for the selfenergy: A simple manybody method for interpreting the photoemission spectra of correlated Fermi systems},
author = {Gros, C and Valenti, R},
abstractNote = {The selfenergy of a translational invariant system of interacting fermions may be expanded in diagrams contributing to the selfenergy of finite clusters with open boundary conditions. The exact solution of small clusters might therefore be used to construct a systematic approximation to the selfenergy of the infinite system. This approximation incorporates both the local and the itinerant degrees of freedom on an equal footing. We develop this method for the oneband Hubbard Hamiltonian and apply it to the threeband Hamiltonian of the CuO superconductors. Already the lowest nontrivial approximation yields interesting results for the spectral density useful for the interpretation of photoemission experiments. We find (i) transfer of spectral weight from the upper to the lower Hubbard band upon doping, (ii) the formation of an [ital isolated] band of ZhangRice singlets separated from the band of triplet states by a manybody gap, and (iii) creation of density of states [ital above] the top of the oxygen band upon doping.},
doi = {10.1103/PhysRevB.48.418},
url = {https://www.osti.gov/biblio/5654297},
journal = {Physical Review, B: Condensed Matter; (United States)},
issn = {01631829},
number = ,
volume = 48:1,
place = {United States},
year = {1993},
month = {7}
}