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Numerical Stability And The Sign Problem In The Determinant Quantum Monte Carlo Method

Author

Listed:
  • E. Y. LOH

    (Sun Microsystems, Inc., Menlo Park, CA, USA)

  • J. E. GUBERNATIS

    (Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA)

  • R. T. SCALETTAR

    (Department of Physics, University of California, Davis, CA 95616, USA)

  • S. R. WHITE

    (Department of Physics, University of California, Irvine, CA 92697, USA)

  • D. J. SCALAPINO

    (Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA)

  • R. L. SUGAR

    (Department of Physics, University of California, Santa Barbara, CA 93106-9530, USA)

Abstract

A recent paper by Matuttis and Ito questions the numerical accuracy of a widely-used fermion Monte Carlo algorithm. They also claim that the increase in thed-wave pairfield susceptibilityχd(T)of a doped4×4Hubbard model at low temperature, previously found using this algorithm, is an artifact due to numerical errors. Here, we provide tests which show that this algorithm is numerically accurate and show that the simulation ofχdfor a2×2lattice agrees with exact diagonalization results. We also provide more complete data forχdon a4×4lattice that is consistent with our previous results.

Suggested Citation

  • E. Y. Loh & J. E. Gubernatis & R. T. Scalettar & S. R. White & D. J. Scalapino & R. L. Sugar, 2005. "Numerical Stability And The Sign Problem In The Determinant Quantum Monte Carlo Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(08), pages 1319-1327.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:08:n:s0129183105007911
    DOI: 10.1142/S0129183105007911
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