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

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • Georg Hager

    (Regionales Rechenzentrum Erlangen (RRZE))

  • Eric Jeckelmann

    (Johannes-Gutenberg-Universität Mainz, Institut für Physik)

  • Holger Fehske

    (Ernst-Moritz-Arndt-Universität Greifswald, Institut für Physik)

  • Gerhard Wellein

    (Regionales Rechenzentrum Erlangen (RRZE))

Abstract

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.

Suggested Citation

  • Georg Hager & Eric Jeckelmann & Holger Fehske & Gerhard Wellein, 2005. "Exact Numerical Treatment of Finite Quantum Systems Using Leading-Edge Supercomputers," Springer Books, in: Hans Georg Bock & Hoang Xuan Phu & Ekaterina Kostina & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 165-177, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27170-3_13
    DOI: 10.1007/3-540-27170-8_13
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