Eur. Phys. J. B 21, 45-51 (2001)
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

Abstract

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.