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Phys. Rev. Lett. 87, 246406 (2001) [4 pages]

Linear-Scaling Quantum Monte Carlo Calculations

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A. J. Williamson, Randolph Q. Hood, and J. C. Grossman
Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550

Received 3 May 2001; published 26 November 2001

A method is presented for using truncated, maximally localized Wannier functions to introduce sparsity into the Slater determinant part of the trial wave function in quantum Monte Carlo calculations. When combined with an efficient numerical evaluation of these localized orbitals, the dominant cost in the calculation, namely, the evaluation of the Slater determinant, scales linearly with system size. This technique is applied to accurate total energy calculation of hydrogenated silicon clusters and carbon fullerenes containing 20–1000 valence electrons.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.246406
DOI:
10.1103/PhysRevLett.87.246406
PACS:
71.15.Dx, 02.70.Ss, 71.15.Nc