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Phys. Rev. Lett. 87, 036401 (2001) [4 pages]

Quantum Monte Carlo Analysis of Exchange and Correlation in the Strongly Inhomogeneous Electron Gas

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Maziar Nekovee1,*, W. M. C. Foulkes1, and R. J. Needs2
1The Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, United Kingdom
2Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, United Kingdom

Received 31 July 2000; published 25 June 2001

We use the variational quantum Monte Carlo method to calculate the density-functional exchange-correlation hole nxc, the exchange-correlation energy density exc, and the total exchange-correlation energy Exc of several strongly inhomogeneous electron gas systems. We compare our results with the local density approximation and the generalized gradient approximation. It is found that the nonlocal contributions to exc contain an energetically significant component, the magnitude, shape, and sign of which are controlled by the Laplacian of the electron density.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.036401
DOI:
10.1103/PhysRevLett.87.036401
PACS:
71.15.Mb, 71.10.-w, 71.45.Gm

*Present address: Complexity Research Group, Admin2 PP5, British Telecom Laboratories, Martlesham Heath, Suffolk IP5 3RE, UK.