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Modeling, Simulation and Optimization of Complex Processes pp 165–177Cite as

Exact Numerical Treatment of Finite Quantum Systems Using Leading-Edge Supercomputers

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Summary

Using exact diagonalization and density matrix renormalization group techniques a finite-size scaling study in the context of the Peierls-insulator Mott-insulator transition is presented. Program implementation on modern supercomputers and performance aspects are discussed.

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Author information

Authors and Affiliations

  1. Regionales Rechenzentrum Erlangen (RRZE), Martensstraße 1, D-91058, Erlangen, Germany

    Georg Hager & Gerhard Wellein

  2. Institut für Physik, Johannes-Gutenberg-Universität Mainz, KOMET 337 Staudingerweg 7/9, D-55099, Mainz, Germany

    Eric Jeckelmann

  3. Institut für Physik, Ernst-Moritz-Arndt-Universität Greifswald, Domstr.10a, D-17489, Greifswald, Germany

    Holger Fehske

Authors
  1. Georg Hager
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  2. Eric Jeckelmann
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  3. Holger Fehske
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  4. Gerhard Wellein
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Editor information

Editors and Affiliations

  1. Interdisziplinäres Zentrum für Wissenschaftliches Rechnen (IWR), Universität Heidelberg, Im Neuenheimer Feld 368, 69120, Heidelberg, Germany

    Hans Georg Bock  & Ekaterina Kostina  & 

  2. Institute of Mathematics, Vietnamese Academy of Science and Technology (VAST), 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam

    Hoang Xuan Phu

  3. Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 68120, Heidelberg, Germany

    Rolf Rannacher

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© 2005 Springer-Verlag Berlin Heidelberg

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Hager, G., Jeckelmann, E., Fehske, H., Wellein, G. (2005). Exact Numerical Treatment of Finite Quantum Systems Using Leading-Edge Supercomputers. In: Bock, H.G., Phu, H.X., Kostina, E., Rannacher, R. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27170-8_13

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