Physics – Condensed Matter – Materials Science
Scientific paper
1996-01-08
Physics
Condensed Matter
Materials Science
9 pages, 4 tables, 1 figure
Scientific paper
10.1209/epl/i1996-00404-8
Using first-principles calculations, the phonon frequencies at the $\Gamma$ point and the dielectric tensor are determined and analysed for the cubic and rhombohedral phases of BaTiO$_{3}$. The dipole-dipole interaction is then separated \`a la Cochran from the remaining short-range forces, in order to investigate their respective influence on lattice dynamics. This analysis highlights the delicate balance of forces leading to an unstable phonon in the cubic phase and demonstrates the extreme sensitivity of this close compensation to minute effective charge changes. Within our decomposition, the stabilization of the unstable mode in the rhombohedral phase or under isotropic pressure has a different origin.
Ghosez Ph.
Gonze Xavier
Michenaud J.-P.
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