Two-Dimensional Quasicrystals of Decagonal Order in One-Component Monolayer Films

Patrykiejew, A.; Sokołowski, S.

doi:10.1103/physrevlett.99.156101

Cited by 8 publications

(6 citation statements)

References 20 publications

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“…In systems of patchy colloids the ordering preferred by the isotropic part of the potential (with only one length scale) competes with structures that possess the binding angles preferred by the patches. Competitions between different symmetries are known to lead to interesting new phenomena, like the formation of Archimedeantiling phases [33][34][35][36], rhombic phases [37], or new types of growth behavior [38,39]. Here we report on similar intermediate orderings of patchy colloids.…”

mentioning

confidence: 64%

Stabilizing quasicrystals composed of patchy colloids by narrowing the patch width

Gemeinhardt¹,

Martinsons²,

Schmiedeberg³

2019

EPL

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We explore the behavior of two-dimensional patchy colloidal particles with 8 or 10 symmetrically arranged patches by employing Monte-Carlo simulations. The particles interact according to an isotropic pair potential that possesses only one typical length. The patches lead to additional attractions that are anisotropic and depend on the relative orientation of two neighboring particles. We investigate the assembled structures with a special interest in quasicrystals. We found that the patch width is of great importance: Only in case of narrow patch widths we are able to observe metastable octagonal and decagonal quasicrystals, while dodecagonal quasicrystals can also occur for broad patches. These results are important to understand the role of interactions with preferred binding angles in order to obtain quasicrystals. Our findings suggest that in case of sharp binding angles, as they occur in metallic alloys, octagonal and decagonal symmetries might be observed more often than in systems with less sharp binding angles as it is the case in soft matter systems where dodecagonal quasicrystals dominate.

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mentioning

confidence: 64%

Stabilizing quasicrystals composed of patchy colloids by narrowing the patch width

Gemeinhardt¹,

Martinsons²,

Schmiedeberg³

2019

EPL

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“…The appearance of decagons, like that shown in figure 1, has led us to the conclusion that such monolayer films can be treated as an example of a two-dimensional quasicrystal of decagonal ordering [17]. Shortly after our paper [16] was published we realized, however, that this ordered phase is periodic. This was also pointed out by Schmiedeberg and Stark in their comments [18] on our work.…”

Section: Introductionmentioning

confidence: 93%

“…The results of Monte Carlo simulation reported in our recent works [15,16] have demonstrated that monolayer films formed on a square lattice of sites can order into a rather exotic phase in which every adatom has five nearest neighbors (see figure 1). The appearance of decagons, like that shown in figure 1, has led us to the conclusion that such monolayer films can be treated as an example of a two-dimensional quasicrystal of decagonal ordering [17].…”

Section: Introductionmentioning

confidence: 97%

Incommensurate monolayers of Archimedean tiling formed on a square lattice

Rżysko¹,

Patrykiejew²,

Sokołowski³

2008

J. Phys.: Condens. Matter

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By using Monte Carlo simulation we investigate the structure of monolayer films formed on the (100) plane of a face centered cubic crystal, being a lattice of square symmetry. It is demonstrated that besides the commensurate c(2 × 2) phase, different incommensurate structures develop. In particular, we concentrate on the formation of rather peculiar structure which exhibits Archimedean tiling (AT) of type (32.4.3.4). The mechanism leading to the formation of the AT phase is identified and it is shown that it develops via small displacements of adatoms from registry positions. It is shown that the stability of the AT phase depends on the misfit between the adsorbate and the surface lattice as well as on the properties of the surface corrugation potential. The AT phase may be stable in the ground state or develop at finite temperatures from the commensurate c(2 × 2) structure, via a sharp first-order phase transition. The AT phase remains stable over a certain temperature range, and then it undergoes a transition to either the partially ordered phase of square symmetry or the incommensurate floating phase of triangular symmetry. In both cases a further increase of temperature leads to the formation of a liquid-like phase.

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“…Phase transitions induced by substrates are widely studied, for example on substrates with a one dimensional commensurate structure [2], which enhances the triangular order that is present without substrate. On other substrates with more complex periodic or even aperiodic symmetry, new phases have been observed [3][4][5][6][7][8][9][10][11]. For small interactions between the particles and the substrate, the phase preferred by the particles in the absence of a substrate strength prevails, while the phase preferred by the substrate is enforced for a strong substrate strength.…”

mentioning

confidence: 99%

“…For small interactions between the particles and the substrate, the phase preferred by the particles in the absence of a substrate strength prevails, while the phase preferred by the substrate is enforced for a strong substrate strength. In many systems, additional phases at intermediate substrate strength have been observed, for example for nanoparticles or micron-sized colloids [3,6,9,10], for vortices in type-II superconductors [12,13], for adsorbed atoms (cf., e.g., [7,14,15]) or molecules (for a recent review, see [16]). An intermediate phase also has been predicted from defect-mediated melting theory [17].…”

mentioning

confidence: 99%

Rhombic Preordering on a Square Substrate

et al. 2013

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A competition of incommensurate symmetries occurs whenever a system is forced to conform to an ordering that is different from the intrinsically preferred structure of the system itself. As a model system of such a competition, we study the rivalry between the triangular ordering of hard disks and the square symmetry induced by a periodic square substrate. By using density functional theory as well as Monte Carlo computer simulations, we determine the full phase behavior for the case of one particle per minimum. We observe a rhombic preordering structure preceding the hexagonal solid as a direct consequence of the competing symmetries. Furthermore, the square-rhombic transition is reentrant with increasing substrate interaction. Our predictions can be verified in experiments of colloids in laser fields.

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Two-Dimensional Quasicrystals of Decagonal Order in One-Component Monolayer Films

Cited by 8 publications

References 20 publications

Stabilizing quasicrystals composed of patchy colloids by narrowing the patch width

Stabilizing quasicrystals composed of patchy colloids by narrowing the patch width

Incommensurate monolayers of Archimedean tiling formed on a square lattice

Rhombic Preordering on a Square Substrate

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