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Band structure of silicon by the self‐consistent variational cellular method
Author(s) -
Lino A. T.,
Takahashi E. K.,
Leite J. R.,
Ferraz A. C.
Publication year - 1987
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560320714
Subject(s) - brillouin zone , inscribed figure , silicon , electronic band structure , charge density , lattice (music) , molecular physics , condensed matter physics , variational method , charge (physics) , lattice constant , quantum mechanics , physics , atomic physics , mathematics , geometry , diffraction , optoelectronics , acoustics
The self‐consistent formulation of the variational cellular method has been developed in order to calculate the electronic structure of crystals with an arbitrary number of atoms per unit cell. Applications for silicon have been carried out. Silicon, chosen here as a test case, is treated as a face‐centered cubic lattice with four “atoms” per unit cell by adding empty cells. The electronic charge density was taken muffin‐tin, assuming a constant value in the interstitial region between the inscribed sphere and the Wigner–Seitz polyhedrum. The spherical symmetric electronic charge density in the inscribed sphere was obtained by adding a limited number of contributions of Brillouin zone states using the “mean value point theory” developed by Baldereschi and Chadi‐Cohen. Our results are in good agreement with those obtained by other methods.