Phonon Spectra of Isotopic Ge Superlattice in the (1 0 0) Direction: A Simple Model

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Published under licence by IOP Publishing Ltd
, , Citation R Pérez-Alvarez and F de León-Pérez 1998 Phys. Scr. 58 525 DOI 10.1088/0031-8949/58/5/017

1402-4896/58/5/525

Abstract

A simple model is proposed to describe the phonon spectra of isotopic superlattices grown in the (1 0 0) direction. A perturbative approach is developed to obtain simple formulae for the eigenfrequencies, the gaps and the eigenstates. Numerical results in (70Ge)n–(74Ge)n superlattice agree quite well with more sophisticated models and experimental results reported recently.

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10.1088/0031-8949/58/5/017