Long-range order in a three-dimensional random-tiling quasicrystal
- 1 February 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 43 (4) , 3423-3433
- https://doi.org/10.1103/physrevb.43.3423
Abstract
Monte Carlo simulations are performed on the rhombohedral random-tiling model of icosahedral quasicrystals. Long-range order is observed in agreement with a squared-gradient form of the coarse-grained free energy, and the two independent phason elastic constants are determined. Schematic transmission electron micrographs, generated by two-dimensional projections of the tile vertices of a typical random configuration, display phason disorder only for sufficiently thin samples.Keywords
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