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Towards the Limits of present-day Supercomputers: Exact Diagonalization of Strongly Correlated Electron-Phonon Systems

In: High Performance Computing in Science and Engineering ’99

Author

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  • Gerhard Wellein

    (Universität Erlangen, Regionales Rechenzentrum Erlangen)

  • Holger Fehske

    (Universität Bayreuth, Physikalisches Institut)

Abstract

The problem of describing lattice dynamical effects in electronically low-dimensional highly correlated systems, such as, e.g., the quasi-1D charge-density wave and spin-Peierls materials or the quasi-2D high-T c superconductors, has been a challenge to solid state physicists for a long time. At present, perhaps the only realible results come from purely numerical finite-lattice calculations. Employing the Lanczos algorithm in combination with a kernel polynomial moment expansion and the maximum entropy method on massive parallel computers, we show a way of calculating ground-state and spectral properties for models of electrons or spins strongly interacting with quantum phonons.

Suggested Citation

  • Gerhard Wellein & Holger Fehske, 2000. "Towards the Limits of present-day Supercomputers: Exact Diagonalization of Strongly Correlated Electron-Phonon Systems," Springer Books, in: Egon Krause & Willi Jäger (ed.), High Performance Computing in Science and Engineering ’99, pages 112-129, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59686-5_11
    DOI: 10.1007/978-3-642-59686-5_11
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