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Phys. Rev. B 72, 085124 (2005) [13 pages]

Variance-minimization scheme for optimizing Jastrow factors

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N. D. Drummond and R. J. Needs
TCM Group, Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge CB3 0HE, United Kingdom

Received 9 May 2005; revised 23 June 2005; published 18 August 2005

We describe a scheme for optimizing many-electron trial wave functions by minimizing the unreweighted variance of the energy using stochastic integration and correlated-sampling techniques. The scheme is restricted to parameters that are linear in the exponent of a Jastrow correlation factor, which are the most important parameters in the wave functions we use. The scheme is highly efficient and allows us to investigate the parameter space more closely than has been possible before. We search for multiple minima of the variance in the parameter space and compare the wave functions obtained using reweighted and unreweighted variance minimization.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.72.085124
DOI:
10.1103/PhysRevB.72.085124
PACS:
71.15.Dx, 02.70.Ss, 31.25.−v