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Phys. Rev. E 74, 066701 (2006) [15 pages]

Inhomogeneous backflow transformations in quantum Monte Carlo calculations

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P. López Ríos, A. Ma, N. D. Drummond, M. D. Towler, and R. J. Needs
Theory of Condensed Matter Group, Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

Received 16 June 2006; published 19 December 2006

An inhomogeneous backflow transformation for many-particle wave functions is presented and applied to electrons in atoms, molecules, and solids. We report variational and diffusion quantum Monte Carlo (VMC and DMC) energies for various systems and study the computational cost of using backflow wave functions. We find that inhomogeneous backflow transformations can provide a substantial increase in the amount of correlation energy retrieved within VMC and DMC calculations. The backflow transformations significantly improve the wave functions and their nodal surfaces.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.74.066701
DOI:
10.1103/PhysRevE.74.066701
PACS:
02.70.Ss, 31.25.−v, 71.10.−w, 71.15.−m