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Phys. Rev. Lett. 78, 3350–3353 (1997)

Quantum Monte Carlo Investigation of Exchange and Correlation in Silicon

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Randolph Q. Hood1, M. Y. Chou1, A. J. Williamson2, G. Rajagopal2, R. J. Needs2, and W. M. C. Foulkes3
1School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430
2Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, United Kingdom
3The Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, United Kingdom

Received 9 September 1996; published in the issue dated 28 April 1997

Realistic many-body wave functions for diamond-structure silicon are constructed for different values of the Coulomb coupling constant. The coupling-constant-integrated pair correlation function, the exchange-correlation hole, and the exchange-correlation energy density are calculated and compared with those obtained from the local density and average density approximations. We draw conclusions about the reasons for the success of the local density approximation and suggest a method for testing the effectiveness of exchange-correlation functionals.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.3350
DOI:
10.1103/PhysRevLett.78.3350
PACS:
71.15.Mb, 71.10.-w, 71.45.Gm