| Issue |
Europhys. Lett.
Volume 52, Number 5, December I 2000
|
|
|---|---|---|
| Page(s) | 578 - 583 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2000-00476-x | |
| Published online | 01 September 2002 | |
Non-spiky density of states of an icosahedral quasicrystal
Institute for Theoretical Physics, University of Nijmegen
Toernooiveld, 6525 ED Nijmegen, The Netherlands
Corresponding authors: eeuwe@sci.kun.nl ted@sci.kun.nl
Received:
5
June
2000
Accepted:
25
September
2000
The density of states of the ideal three-dimensional Penrose tiling, a
quasicrystalline model, is calculated with a resolution of 10 meV. It is not
spiky. This falsifies theoretical predictions so far, that spikes of width
10–20 meV are generic for the density of states of quasicrystals, and it
confirms recent experimental findings. The qualitative difference between our
results and previous calculations is partly explained by the small number of
points that has usually been included in the evaluation of the
density of states of periodic approximants of quasicrystals. It is also shown
that both the density of states of a small approximant of the three-dimensional
Penrose tiling and the density of states of the ideal two-dimensional Penrose
tiling do have spiky features, which also partly explains earlier predictions.
PACS: 71.23.Ft – Quasicrystals / 71.20.-b – Electron density of states and band structure of crystalline solids
© EDP Sciences, 2000
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