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Phys. Rev. B 79, 085102 (2009) [5 pages]

Order- N implementation of exact exchange in extended insulating systems

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Xifan Wu, Annabella Selloni, and Roberto Car
Department of Chemistry, Princeton University, Princeton, New Jersey 08544-0001, USA

Received 6 December 2008; revised 11 January 2009; published 5 February 2009

See accompanying Physics Synopsis

Exact (Hartree-Fock) exchange is needed to overcome some of the limitations of local and semilocal approximations of density-functional theory. So far, however, computational cost has limited the use of exact exchange in plane-wave calculations for extended systems. We show that this difficulty can be overcome by performing a unitary transformation from Bloch to maximally localized Wannier functions in combination with an efficient technique to compute real-space Coulomb integrals. The resulting scheme scales linearly with system size. We validate the scheme with representative applications.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.79.085102
DOI:
10.1103/PhysRevB.79.085102
PACS:
71.15.Dx, 71.15.Mb, 71.15.Pd