Sa. Kiselev et al., INTRINSIC RESONANT MODES FOR A ONE-DIMENSIONAL LATTICE WITH A SOFT OPTIC MODE, Physical review. B, Condensed matter, 57(6), 1998, pp. 3402-3405
Localization of lattice vibrations is investigated for a soft zone-cen
ter optic mode overlapping the acoustic spectrum of an anharmonic one-
dimensional diatomic lattice. An intrinsic resonant mode is found belo
w the plane-wave optic spectrum. Using numerical methods the frequency
and eigenvector of the intrinsic resonant mode has been measured as a
function of its amplitude and the optic-mode frequency. Molecular-dyn
amics simulations show that these localized modes are stable.