https://doi.org/10.1007/s100510170211
Dynamical properties of three component Fibonacci quasicrystal
Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics,
1/AF, Bidhannagar, Calcutta 700 064, India
Corresponding author: a anath@cmp.saha.ernet.in
Received:
23
October
2000
Revised:
11
January
2001
Published online: 15 May 2001
We present a real space renormalization group (RSRG) method to study the lattice dynamics of a three component Fibonacci (3CF) quasicrystal. Phonon dispersion relations corresponding to different models of this lattice are obtained. Some features of the phonon dispersion curves are compared with experiments on real quasicrystal. It is observed that the positions of the strongest Bragg peaks calculated analytically are in perfect agreement with our RSRG calculations.
PACS: 71.23.Ft – Quasicrystals / 61.44.-n – Semi-periodic solids
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001