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On the problem of the relation between phason elasticity and phason dynamics in quasicrystals

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  • G. Coddens

Abstract

It has recently been claimed that the dynamics of long-wavelength phason fluctuations has been observed in i-AlPdMn quasicrystals [S. Francoual et al. Phys. Rev. Lett. 91, 225501 (2003); A. Létoublon et al. 54, 753 (2001)]. We will show that the data reported call for a more detailed development of the elasticity theory of Jarić and Nelsson [M.V. Jarić and D.R. Nelsson, Phys. Rev. B 37, 4458 (1988)] in order to determine the nature of small phonon-like atomic displacements with a symmetry that follows the phason elastic constants. We also show that a simple model with a single diffusing tile is sufficient to produce a signal that (1) is situated at a “satellite position” at a distance q from each Bragg peak; that (2) has an intensity that scales with the intensity of the corresponding Bragg peak; (3) falls off as 1/q 2 ; and (4) has a time decay constant that is proportional to 1/Dq 2 . It is thus superfluous to call for a picture of “phason waves” in order to explain such data, especially as such “waves” violate many physical principles. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • G. Coddens, 2006. "On the problem of the relation between phason elasticity and phason dynamics in quasicrystals," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(1), pages 37-65, November.
    • Handle: RePEc:spr:eurphb:v:54:y:2006:i:1:p:37-65
    DOI: 10.1140/epjb/e2006-00429-9
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