NUMERICAL STABILITY AND THE SIGN PROBLEM IN THE DETERMINANT QUANTUM MONTE CARLO METHOD

E. Y. Loh (), J. E. Gubernatis (), R. T. Scalettar (), S. R. White (), D. J. Scalapino () and R. L. Sugar ()
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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

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 08, 1319-1327

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.

Keywords: Quantum Monte Carlo; Hubbard model; sign problem; high temperature superconductivity (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105007911

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