Abstract

We present theoretical investigations of atomic vibrations in thin ${(\mathrm{GaAs})}_{n}{(\mathrm{AlAs})}_{n}$ superlattices grown in the favored [001] direction, and also the less well-studied [110] direction, using the adiabatic bond charge model. In the acoustic range we confirm the existence of minigaps at the zone center and edges, and also provide evidence for acoustic mode anticrossing and confinement. In the optical range we observe folding, confinement, and mode anisotropy behaviors. The anisotropy is markedly reduced for the [110] system with an angular dispersion opposite to that for the [001] system. The interface mode characteristics are also different for the two growth directions. The highest confined optical mode in the [110] system reaches its bulk value in roughly half the layer width of the [001] system.

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