Sound modes broadening for Fibonacci one dimensional quasicrystals

Details Sound modes broadening for Fibonacci one dimensional quasicrystals Sound modes broadening for Fibonacci one dimensional quasicrystals

2005-02-28

arxiv.org/abs/cond-mat/0502673v1

Physics

Condensed Matter

Statistical Mechanics

2o pages, 15 figures

Scientific paper

10.1088/0953-8984/17/43/006

We investigate vibrational excitation broadening in one dimensional Fibonacci model of quasicrystals (QCs). The chain is constructed from particles with two masses following the Fibonacci inflation rule. The eigenmode spectrum depends crucially on the mass ratio. We calculate the eigenstates and eigenfunctions. All calculations performed self-consistently within the regular expansion over the three wave coupling constant. The approach can be extended to three dimensional systems. We find that in the intermediate range of mode coupling constants, three-wave broadening for the both types of systems (1D Fibonacci and 3D QCs) depends universally on frequency. Our general qualitative conclusion is that for a system with a non-simple elementary cell phonon spectrum broadening is always larger than for a system with a primitive cell (provided all other characteristics are the same).

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