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26 April 2024
 
  » arxiv » cond-mat/0203385

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Sound modes in composite incommensurate crystals
R. Currat ; E. I. Kats ; I. Luk’yanchuk ;
Date 19 Mar 2002
Subject Materials Science | cond-mat.mtrl-sci
AffiliationLaue-Langevin Institute, Grenoble, France), E. I. Kats (L. D. Landau Institute for Theoretical Physics, Moscow, Russia; and Institut Laue-Langevin, Grenoble, France), I. Luk’yanchuk (L. D. Landau Institute for Theoretical Physics, Moscow, Russia;
AbstractWe propose a simple phenomenological model describing composite crystals, constructed from two parallel sets of periodic inter-penetrating chains. In the harmonic approximation and neglecting thermal fluctuations we find the eigenmodes of the system. It is shown that at high frequencies there are two longitudinal sound modes with standard attenuation, while in the low frequency region there is one propagating sound mode and an over-damped phase mode. The crossover between these two regions is analyzed numerically and the dynamical structure factor is calculated. It is shown that the qualitative features of the experimentally observed spectra can be consistently described by our model.
Source arXiv, cond-mat/0203385
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