Recent developments in IMD: Interactions for covalent and metallic systems

Ulrich Koschella, Franz Gähler, Johannes Roth, Hans-Rainer Trebin

Abstract:

For a two-dimensional binary tiling model quasicrystal, the full set of (zero temperature) elastic constants is determined. It is found that the elastic energy is a perfect quadratic form in the phonon and phason strains. One of the phason elastic constants turns out to be negative, implying that the quasicrystal is only metastable at zero temperature.