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Dynamical Matrices and Interatomic-Force Constants from Wave-Commensurate Supercells

2004/07/08 by Hadley M. Lawler, Lawler, Hadley M., Eric K. Chang +3
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0407221

18 pages, 3 figures. v2 includes updated references

arxiv created 2004/07/13 · arxiv updated 2009/12/01

Abstract

We apply standard, first-principles calculations to a complete treatment of lattice dynamics in the harmonic approximation. The algorithm makes use of the straightforward ``frozen-phonon'' approach to the calculation of vibrational spectra and addresses some limitations of the method. Our prescription's validity is independent of crystal structure. It treats polar crystals in a general way, and it incorporates interatomic-force constants reaching beyond the supercell that is considered. For a range of materials, phonon dispersion exhibits the close agreement with experiment that is now characteristic of first-principles schemes. Results for graphite, Si and GaAs are presented.

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