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Phys. Rev. B 77, 085111 (2008) [8 pages]

Nodal Pulay terms for accurate diffusion quantum Monte Carlo forces

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A. Badinski1, P. D. Haynes1,2, and R. J. Needs1
1Theory of Condensed Matter Group, Cavendish Laboratory, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
2Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom

Received 2 August 2007; published 13 February 2008

Exact expressions are derived for forces within the mixed and pure fixed-node diffusion quantum Monte Carlo (DMC) methods. These expressions include the “nodal terms” which arise from the discontinuity in the gradient of the DMC wave function at the nodal surface. We devise a practical scheme for estimating the nodal terms, and demonstrate that their inclusion leads to very accurate forces.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.085111
DOI:
10.1103/PhysRevB.77.085111
PACS:
02.70.Ss, 31.15.V−, 71.10.−w, 71.15.−m