Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-04-11
Physical Review B 75, 144203 (2007)
Physics
Condensed Matter
Other Condensed Matter
12 pages, 15 figures
Scientific paper
10.1103/PhysRevB.75.144203
The dynamics of quasicrystals is characterized by the existence of phason excitations in addition to the usual phonon modes. In order to investigate their interplay on an elementary level we resort to various one-dimensional model systems. The main observables are the static, the incoherent, and the coherent structure factor, which are extracted from molecular dynamics simulations. For the validation of the algorithms, results for the harmonic periodic chain are presented. We then study the Fibonacci chain with harmonic and anharmonic interaction potentials. In the dynamic Fibonacci chain neighboring atoms interact by double-well potentials allowing for phason flips. The difference between the structure factors of the dynamic and the harmonic Fibonacci chain lies in the temperature dependence of the phonon line width. If a bias is introduced in the well depth, dispersionless optic phonon bands split off.
Engel Michael
Lipp Hansjörg
Sonntag Steffen
Trebin Hans-Rainer
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