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Monte Carlo Diagonalization Of Very Large Matrices: Application To Fermion Systems

Author

Listed:
  • H. DE RAEDT

    (Institute for Theoretical Physics, University of Groningen, P.O. BOX 800, NL-9700 AV Groningen, The Netherlands)

  • W. VON DER LINDEN

    (Max-Planck-Institute für Plasmaphysik, D-8046 Garching bei München, United Germany)

Abstract

All known Quantum-Monte-Carlo algorithms for fermions suffer from the so-called “minus-sign-problem” which is detrimental to the application of these simulation methods to fermion systems at very low temperatures and/or of very many lattice sites. We identify the origin of this fundamental problem, demonstrate that it is a very general feature, not necessarily related to the presence of fermionic degrees of freedom. We describe an novel algorithm which does not suffer from the minus-sign problem. Illustrative results for the two-dimensional Hubbard model are presented

Suggested Citation

  • H. De Raedt & W. Von Der Linden, 1992. "Monte Carlo Diagonalization Of Very Large Matrices: Application To Fermion Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 97-104.
    • Handle: RePEc:wsi:ijmpcx:v:03:y:1992:i:01:n:s0129183192000087
    DOI: 10.1142/S0129183192000087
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