Rectangle-triangle soft-matter quasicrystals with hexagonal symmetry
| Autor: | Tomonari Dotera, Andrew Archer, Alastair Rucklidge |
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| Rok vydání: | 2022 |
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| Zdroj: | Physical Review E. 106 |
| ISSN: | 2470-0053 2470-0045 |
| DOI: | 10.1103/physreve.106.044602 |
| Popis: | Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all quasicrystals occurring in soft-matter are of the dodecagonal type. Here, we investigate a class of aperiodic tilings with hexagonal symmetry that are based on rectangles and two types of equilateral triangles. We show how to design soft-matter systems of particles interacting via pair potentials containing two length-scales that form aperiodic stable states with two different examples of rectangle--triangle tilings. One of these is the bronze-mean tiling, while the other is a generalization. Our work points to how more general (beyond dodecagonal) quasicrystals can be designed in soft-matter. Comment: 15 pages, 13 figures. Submitted to Physical Review E. The data associated with this paper are openly available from the University of Leeds Data Repository at https://doi.org/10.5518/1188 |
| Databáze: | OpenAIRE |
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