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Derivation of Models for the Interacting Electrons in Cu-O Superconductors

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  • RICHARD M. MARTIN

    (Physics Department and Science and Technology Center for Superconductivity, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA)

Abstract

Key questions for theory of high temperature superconductors involve the nature of the electronic system: the minimum essential Hamiltonian and the low energy states of such Hamiltonians. To attempt to answer these questions we are carrying out studies using constrained density functional (CDF) methods to identify the relevant electronic states and realistic values of the parameters, combined with exact calculations on the reduced model Hamiltonians. The CDF calculations lead to a 3-band Hubbard model for Cu-O planes with parameters in general agreement with high energy spectroscopies and low energy magnetic excitations. We describe a modified Lanczos method to carry out large many-body calculations and give a representative result, where we find the spectra are described by the 1-band Hubbard model in regimes which imply spin interactions beyond the usual Heisenberg form.

Suggested Citation

  • Richard M. Martin, 1991. "Derivation of Models for the Interacting Electrons in Cu-O Superconductors," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 105-114.
    • Handle: RePEc:wsi:ijmpcx:v:02:y:1991:i:01:n:s0129183191000111
    DOI: 10.1142/S0129183191000111
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    Keywords

    ; 75.10.Jm; 75.40.Mg; 74.20.-z;
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