Mechanism of hole attraction in the extended Hubbard model

Journal Article · Sat May 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.47.11521· OSTI ID:6608840

Sherman, A V ^[1]

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1. Institute of Physics, Estonian Academy of Sciences Riia 142, EE2400 Tartu (Estonia)

The expansion in the Cu-O hybridization energy, [ital t], usually used for the simplification of the extended Hubbard Hamiltonian, is shown to meet with difficulties for the known parameters of CuO[sub 2] planes of cuprate perovskites. An expansion in a power series in [lambda][ital t], [lambda][approx]0.1, is suggested, which is applicable for these values of parameters and in which the Hubbard repulsion and the Cu-O hybridization are considered on an equal footing. A Hamiltonian obtained with the help of the expansion for the lower part of the energy spectrum, is equivalent to the [ital t]-[ital J] Hamiltonian and the corresponding states are some generalizations of the Zhang-Rice singlets. The Hamiltonian contains terms describing a static attraction between holes and for reasonable sets of parameters the attraction is approximately equal to a half of the superexchange constant.

• OSTI ID: 6608840
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 47:17; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COPPER
CRYSTAL MODELS
ELEMENTS
HAMILTONIANS
HIGH-TC SUPERCONDUCTORS
HOLES
HUBBARD MODEL
HYBRIDIZATION
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
METALS
NONMETALS
OXYGEN
PAIRING INTERACTIONS
QUANTUM OPERATORS
SERIES EXPANSION
SUPERCONDUCTORS
TRANSITION ELEMENTS