Abstract

We were the first to report the realization of quasiperiodic amorphous semiconductor superlattices composed of alternating layers of a-Si:H and a-SiN x :H to form a Fibonacci sequence in which the ratio of incommensurate periods is equal to the golden mean, τ = (1+√5)/2. In the present work new results of low-angle X-ray diffraction with L f = τL a+L b = 148 A ̊ are in good agreement with a numerical calculation using the formula k m, n = 2 πL f −1( m+ n τ). The effect of the quasiperiodicity on folded-zone longitudinal acoustic phonons is observed by Raman scattering. The folded-phonon frequencies calculated from an elastic continuum model are consistent with the observed doublet-peak frequencies.

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