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Density-Matrix Algorithm for Phonon Hilbert Space Reduction in the Numerical Diagonalization of Quantum Many-Body Systems

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High Performance Computing in Science and Engineering ’01

Abstract

Combining density-matrix and Lanczos algorithms we propose a new optimized phonon approach for finite-cluster diagonalizations of interacting electronphonon systems. To illustrate the efficiency and reliability of our method, we investigate the problem of bipolaron band formation in the extended Holstein Hubbard model.

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Author information

Authors and Affiliations

  1. Physikalisches Institut, Universität Bayreuth, D-95440, Bayreuth, Germany

    Alexander Weiße & Holger Fehske

  2. Regionales Rechenzentrum Erlangen, Universität Erlangen, D-91058, Erlangen, Germany

    Gerhard Wellein

Authors
  1. Alexander Weiße
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  2. Gerhard Wellein
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  3. Holger Fehske
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Editor information

Editors and Affiliations

  1. Aerodynamisches Institut der RWTH Aachen, Wuellnerstraße zw. 5 u. 7, 52062, Aachen, Germany

    Egon Krause

  2. Institut für Wissenschaftliches Rechnen, Universität Heidelberg, Im Neuenheimer Feld 368, 69120, Heidelberg, Germany

    Willi Jäger

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© 2002 Springer-Verlag Berlin Heidelberg

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Weiße, A., Wellein, G., Fehske, H. (2002). Density-Matrix Algorithm for Phonon Hilbert Space Reduction in the Numerical Diagonalization of Quantum Many-Body Systems. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56034-7_12

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  • DOI: https://doi.org/10.1007/978-3-642-56034-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62719-4

  • Online ISBN: 978-3-642-56034-7

  • eBook Packages: Springer Book Archive

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