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Phys. Rev. B 74, 161103(R) (2006) [4 pages]

Effect of spatial nonlocality on the density functional band gap

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Myrta Grüning1,*, Andrea Marini2, and Angel Rubio3
1Donostia International Physics Center (DIPC) and European Theoretical Spectroscopy Facility (ETSF), E-20018 San Sebastián, Spain
2CNR-INFM and European Theoretical Spectroscopy Facility (ETSF), Dipartimento di Fisica dell'Universita di Roma “Tor Vergata,” Via della Ricerca Scientifica, I-00133 Roma, Italy
3Departamento de Física de Materiales, Facultad de Químicas Universidad del Pais Vasco, European Theoretical Spectroscopy Facility (ETSF), Centro Mixto CSIC-UPV, Donostia International Physics Center (DIPC), E-20018 Donostia-San Sebastián, Spain

Received 27 July 2006; revised 14 September 2006; published 27 October 2006

We show that for a large class of exchange-correlation functionals the local exchange-correlation potential obtained within an optimized effective potential severely underestimates the band gap. On the other hand, the corresponding nonlocal potential obtained from a generalized Kohn-Sham scheme provides a much better description of the band gap, in good agreement with experiments. These results strongly indicate that a local exchange-correlation potential, however good the exchange-correlation approximation, cannot capture the delicate interplay between correlation effects and spatial localization in the KS band structure, unless the (cumbersome) contribution from the derivative discontinuity of the exchange-correlation energy functional is considered.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.74.161103
DOI:
10.1103/PhysRevB.74.161103
PACS:
71.15.Mb, 71.20.−b

*Present address: Université Catholique de Louvain, Unité de Physico-Chimie et de Physique des Matériaux, B-1348 Louvain-la-Neuve, Belgium.