Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T11:33:16.075Z Has data issue: false hasContentIssue false
  • English
  • Français

Discerning Phason Coherency In Quasicrystalline Systems

Published online by Cambridge University Press:  10 February 2011

G. G. Naumis ,
Chumin Wang  and
R. A. Barrio
G. G. Naumis
Affiliation:
Instituto de Física, Universidad Nacional Autónoma de México (UNAM), Apdo 20–364, 01000, D.F., Mexico.
Chumin Wang
Affiliation:
Instituto de Investigaciones en Materiales, UNAM, Apdo 70–360, 04510, D.F. , México.
R. A. Barrio
Affiliation:
Instituto de Física, Universidad Nacional Autónoma de México (UNAM), Apdo 20–364, 01000, D.F., Mexico.
Get access

Abstract

Phason disorder is expected to modify the neutron and x-ray scattering spectra of quasicrystals. However, it is not clear yet if phasons are coherent modes in real space, or if they should be considered as local random defects. In this work, a comparative study of different sorts of phasons is performed, and their effects on the dynamical structure factor of Fibonacci chains are analyzed in detail. The results show that coherent and random phasons can be distinguished for high values of the momentum transfer. Finally, it is observed that a random phason produced in the quasicrystal's hyper-space leads to a coherent phason field in real quasicrystalline lattice.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 553: Symposium LL – Quasicrystals , 1998 , 147
Copyright
Copyright © Materials Research Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Lubensky, T. C., Socolar, J. E. S., Steinhardt, P. J., Heiney, P. A., Phys. Rev. Lett. 57, 1440 (1986).Google Scholar
2. Lyonnard, S.,Codens, G., Calvayrac, Y., Gratias, D., Phys. Rev. B 53, 3150 (1996).Google Scholar
3. Steinhardt, P. J., Ostlund, S., The Physics of Quasicrystals, (World Scientific, Singapore, 1987) p.395.Google Scholar
4. Naumis, G. G., Aragón, J. L., Phys. Rev. B 54, 15079 (1996).Google Scholar
5. Wang, C., Barrio, R. A., in Quasicrystals and Incommensurate Structures in Condensed Matter, edited by José-Yacamán, M., Romeu, D., Castaño, V., and Gómez, A., (World Scientific, Singapore, 1990), p. 448.Google Scholar
6. Wang, C. and Barrio, R. A., Phys. Rev. Lett., 61, 191 (1988)Google Scholar
7. Mackay, A. L., Physica 114A, 609 (1982).Google Scholar
8. Elliott, R. J., Krumhansl, J. A., and Leath, P. L., Rev. Mod. Phys. 46, 465 (1974).Google Scholar
9. Naumis, G. G., Wang, C., Thorpe, M. F., and Barrio, R. A., (submitted to Physical Review B).Google Scholar
10. Horn, P. M., Malzfeldt, W., DiVincenzo, D. P., Toner, J. and Gambino, R., Phys. Rev. Lett., 57, 1444 (1986).Google Scholar
11. Frey, F., and Hradil, K., in Proc. 5th Int. Conf. on Quasicrystals, Ed. Janot, C., and Mosseri, R., (World Scientific, Singapore, 1995)p.180.Google Scholar