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Phys. Rev. B 31, 6541–6551 (1985)

Total-energy gradients and lattice distortions at point defects in semiconductors

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Matthias Scheffler
Physikalische-Technische Bundesanstalt, D-3300 Braunschweig, Federal Republic of Germany, and Max-Planck-Institut für Festkörperforschung, D-7000 Stuttgart 80, Federal Republic of Germany

Jean Pol Vigneron
Département de Physique Facultés Notre-Dame de la Paix, B-5000 Namur, Belgium

Giovanni B. Bachelet
Max-Planck-Institut für Festkörperforschung, D-7000 Stuttgart 80, Federal Republic of Germany

Received 9 October 1984; published in the issue dated 15 May 1985

A parameter-free, self-consistent method for calculating the gradient of the total energy (i.e., forces on atoms) of point defects in semiconductors is described. It is shown that under two conditions, (i) the pseudopotential approach and (ii) the inclusion of basis-set derivatives, the Hellmann-Feynman theorem can be applied. The convergence properties of the force calculation are examined, and the method is used to study the breathing distortions of the vacancy in silicon. The results, such as the direction and amplitude of the distortions and the force constants, are compared to other calculations and to available experimental data.

© 1985 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.31.6541
DOI:
10.1103/PhysRevB.31.6541
PACS:
61.70.Rj, 71.55.Fr