Back to Search Start Over

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

Authors :
LOH, E. Y.
GUBERNATIS, J. E.
SCALETTAR, R. T.
WHITE, S. R.
SCALAPINO, D. J.
SUGAR, R. L.
Source :
International Journal of Modern Physics C: Computational Physics & Physical Computation; Aug2005, Vol. 16 Issue 8, p1319-1327, 9p
Publication Year :
2005

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 the d-wave pairfield susceptibility χ<subscript>d</subscript>(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 χ<subscript>d</subscript> for a 2×2 lattice agrees with exact diagonalization results. We also provide more complete data for χ<subscript>d</subscript> on a 4×4 lattice that is consistent with our previous results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01291831
Volume :
16
Issue :
8
Database :
Complementary Index
Journal :
International Journal of Modern Physics C: Computational Physics & Physical Computation
Publication Type :
Academic Journal
Accession number :
18316968
Full Text :
https://doi.org/10.1142/S0129183105007911