NUMERICAL STABILITY AND THE SIGN PROBLEM IN THE DETERMINANT QUANTUM MONTE CARLO METHOD
| Autor: | J. E. Gubernatis, Steven R. White, Douglas J. Scalapino, Richard T. Scalettar, E. Y. Loh, Robert L. Sugar |
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| Rok vydání: | 2005 |
| Předmět: |
Physics
Quantum Monte Carlo General Physics and Astronomy Statistical and Nonlinear Physics Computer Science Applications Hybrid Monte Carlo Computational Theory and Mathematics Quantum mechanics Monte Carlo integration Diffusion Monte Carlo Monte Carlo method in statistical physics Statistical physics Quasi-Monte Carlo method Mathematical Physics Monte Carlo algorithm Monte Carlo molecular modeling |
| Zdroj: | International Journal of Modern Physics C. 16:1319-1327 |
| ISSN: | 1793-6586 0129-1831 |
| Popis: | 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 the d-wave pairfield susceptibility χd(T) of a doped 4×4 Hubbard 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 of χd for a 2×2 lattice agrees with exact diagonalization results. We also provide more complete data for χd on a 4×4 lattice that is consistent with our previous results. |
| Databáze: | OpenAIRE |
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