Electron-phonon coupling and [ital d]-wave superconductivity in the cuprates

Journal Article · Wed Feb 01 04:00:00 EST 1995 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.51.3840· OSTI ID:6599525

Song, J; Annett, J F ^[1]

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1. Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802 (United States)

We derive an effective single-band Hubbard-type Hamiltonian for CuO[sub 2] planes in the cuprate high-[ital T][sub [ital c]] superconductors. The Hamiltonian includes both electron-electron repulsion and electron-phonon coupling to oxygen vibrational modes. The effective Hamiltonian is derived by mapping from the multiband constrained-density-functional-theory Hamiltonian to a one-band model. A Hartree-Fock mapping leads to [ital t]=0.66 eV, [ital t][prime]=[minus]0.14 eV, and [ital U]=4.0 eV. Very similar parameters are obtained by exact diagonalization of finite clusters. The electron-phonon coupling to oxygen breathing modes gives [lambda]=0.57 for [ital s]-wave and [lambda]=0.35 for [ital d][sub [ital x]][sup 2][minus][ital y][sup 2] pairing. [ital d]-wave superconductivity is predicted to occur at 30 K for doped La[sub 2]CuO[sub 4], while the strong Coulomb repulsion suppresses the [ital s]-wave [ital T][sub [ital c]] to 10 K.

• OSTI ID: 6599525
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 51:6; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
COPPER COMPOUNDS
COULOMB FIELD
COUPLING
CRYSTAL MODELS
CUPRATES
D WAVES
ELECTRIC FIELDS
ELECTRON-PHONON COUPLING
ELEMENTS
HARTREE-FOCK METHOD
HIGH-TC SUPERCONDUCTORS
HUBBARD MODEL
MATHEMATICAL MODELS
NONMETALS
OXYGEN
OXYGEN COMPOUNDS
PARTIAL WAVES
SUPERCONDUCTORS
TRANSITION ELEMENT COMPOUNDS