Physics – Condensed Matter – Materials Science
Scientific paper
2007-09-19
Journal of Physics: Conference Series 92, 012139 (2007)
Physics
Condensed Matter
Materials Science
to appear in the proceedings of the Phonons2007 conference (Paris, July 2007)
Scientific paper
10.1088/1742-6596/92/1/012139
A simple and accurate method of calculating phonon spectra in mixed semiconductors alloys, on the basis of preliminarily (from first principles) relaxed atomic structure, is proposed and tested for (Zn,Be)Se and (Ga,In)As solid solutions. The method uses an observation that the interatomic force constants, calculated ab initio for a number of microscopic configurations in the systems cited, show a clear linear variation of the main (diagonal) values of the interatomic force constants with the corresponding bond length. We formulate simple rules about how to recover the individual 3x3 subblocks of the force constants matrix in their local (bonds-related) coordinate systems and how to transform them into a global (crystal cell-related) coordinate system. Test calculations done for 64-atom supercells representing different concentrations of (Zn,Be)Se and (Ga,In)As show that the phonon frequencies and compositions of eigenvectors are faithfully reproduced in a linearized force constants calculation, as compared to true ab initio calculations.
Hugel Joseph
Nassour Ayoub
Postnikov Andrei Viktor
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