Archimedean-like colloidal tilings on substrates with decagonal and tetradecagonal symmetry

Schmiedeberg, Michael; Mikhael, Jules; Rausch, Sebastian; Roth, Johannes; Helden, Laurent; Bechinger, Clemens; Stark, Holger

doi:10.1140/epje/i2010-10587-1

Cited by 29 publications

(47 citation statements)

References 34 publications

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“…Under these conditions, an Archimedean like tiling phase should occur. 19 Similar to above, we observe a gradual decrease of triangular and a strong increase of square tiles with increasing in (a, c, e, g). The scale is exponential.…”

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confidence: 86%

Phase behavior of colloidal monolayers in quasiperiodic light fields

et al. 2011

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We experimentally investigate the phase behavior of a dense two dimensional system of interacting colloidal particles subjected to a decagonal quasiperiodic potential landscape created by the interference of five laser beams. Upon increasing the intensity I 0 of the laser field, we observe the initial triangular crystal to change into a quasicrystal via a two step process. To characterize this transition, we apply an algorithm that describes the resulting structures in terms of a polygonal tiling comprised of triangular, square and pentagonal tiles. First, square tiles develop at the expense of triangular tiles and assemble into bands. Only at higher laser intensities, pentagonal tiles, which reflect the decagonal quasiperiodic ordering, occur. For certain particle densities, an Archimedean like tiling occurs where the bands of square extend across the entire system. We demonstrate how the alignment of these bands can be related to phasonic strain fields in the laser pattern.

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confidence: 86%

Phase behavior of colloidal monolayers in quasiperiodic light fields

et al. 2011

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“…For the diamond and square symbols, error bars are estimated by propagating the standard errors of the fit parameters in Eqs. (14) and (15), respectively. For the circular symbols, error bars are determined by propagating the standard errors of the linear fit functions shown in Fig.…”

Section: Phase Diagramsmentioning

confidence: 99%

“…7 The formation of liquid-crystal phases on twodimensional surfaces is also key for various nanotechnological applications. [8][9][10] Control over self-assembly has already enabled the formation of two-dimensional aggregates with quasicrystal, [11][12][13][14] hexagonal, 15 crystal, 16 and liquid crystal [17][18][19] orders. Improving control on the spontaneous formation of ordered structures, however, requires a deep understanding of how molecular geometry influences supramolecular ordering.…”

Section: Introductionmentioning

confidence: 99%

Phase ordering of zig-zag and bow-shaped hard needles in two dimensions

Tavarone

Stark

2015

The Journal of Chemical Physics

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We perform extensive Monte Carlo simulations of a two-dimensional bent hard-needle model in both its chiral zig-zag and its achiral bow-shape configurations and present their phase diagrams. We find evidence for a variety of stable phases: isotropic, quasi-nematic, smectic-C, anti-ferromorphic smectic-A, and modulated-nematic. This last phase consists of layers formed by supramolecular arches. They create a modulation of the molecular polarity whose period is sensitively controlled by molecular geometry. We identify transition densities using correlation functions together with appropriately defined order parameters and compare them with predictions from Onsager theory. The contribution of the molecular excluded area to deviations from Onsager theory and simple liquid crystal phase morphology is discussed. We demonstrate the isotropic-quasi-nematic transition to be consistent with a Kosterlitz-Thouless disclination unbinding scenario. C 2015 AIP Publishing LLC. [http://dx

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“…Furthermore, quasicrystalline monolayers can also be achieved in colloidal systems if a colloidal suspension that is confined to two dimensions is subjected to a laser field created by interfering laser beams that acts as an external potential [16][17][18][19][20][21][22]. If colloid-colloid interactions and the interaction with the external laser field are of similar strength so that they compete with each other, a huge variety of complex phases occur [17,18,20].…”

Section: Introductionmentioning

confidence: 99%

Effective substrate potentials with quasicrystalline symmetry depend on the size of the adsorbed particles

et al. 2015

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Abstract. We explore the effective potential landscapes that extended particles experience when adsorbed on the surface of quasicrystals. Commonly, these are solids with long-ranged order but no translational symmetry. The effective potentials significantly depend on the size of the adsorbed particles. We show how changing the particle radius changes the so-called local isomorphism class of the effective quasicrystalline pattern. This means effective potentials for different particle sizes cannot directly be mapped onto each other. Our theoretical predictions are confirmed by Monte Carlo simulations. The results are important for colloidal particles with different sizes that are subjected to laser fields with quasicrystalline symmetry as well as for systems where extended molecules are deposited onto the surface of metallic quasicrystals.

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Archimedean-like colloidal tilings on substrates with decagonal and tetradecagonal symmetry

Cited by 29 publications

References 34 publications

Phase behavior of colloidal monolayers in quasiperiodic light fields

Phase behavior of colloidal monolayers in quasiperiodic light fields

Phase ordering of zig-zag and bow-shaped hard needles in two dimensions

Effective substrate potentials with quasicrystalline symmetry depend on the size of the adsorbed particles

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