Colloidal Trajectories in Two-Dimensional Light-Induced Quasicrystals with 14-Fold Symmetry due to Phasonic Drifts

Martinsons, M.; Sandbrink, Matthias; Schmiedeberg, Michael

doi:10.12693/aphyspola.126.568

Cited by 13 publications

(19 citation statements)

References 25 publications

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“…Furthermore, additional hydrodynamic modes, termed phasons, can occur in quasicrystals [11]. They correspond to complex correlated rearrangements of the particles [12][13][14]. Similar to phonons, exciting phasons do not cost any energy in the limit of long wavelengths.…”

Section: Introductionmentioning

confidence: 99%

Dislocation-free growth of quasicrystals from two seeds due to additional phasonic degrees of freedom

et al. 2017

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We explore the growth of two-dimensional quasicrystals, i.e., aperiodic structures that possess long-range order, from two seeds at various distances and with different orientations by using dynamical phase-field crystal calculations. We compare the results to the growth of periodic crystals from two seeds. There, a domain border consisting of dislocations is observed in case of large distances between the seed and large angles between their orientation. Furthermore, a domain border is found if the seeds are placed at a distance that does not fit to the periodic lattice. In the case of the growth of quasicrystals, we only observe domain borders for large distances and different orientations. Note that all distances do inherently not match to a perfect domain wall-free quasicrystalline structure. Nevertheless, we find dislocation-free growth for all seeds at a small enough distance and for all seeds that approximately have the same orientation. In periodic structures, the stress that occurs due to incommensurate distances between the seeds results in phononic strain fields or, in the case of too large stresses, in dislocations. In contrast, in quasicrystals an additional phasonic strain field can occur and suppress dislocations. Phasons are additional degrees of freedom that are unique to quasicrystals. As a consequence, the additional phasonic strain field helps to distribute the stress and facilitates the growth of dislocation-free quasicrystals from multiple seeds. In contrast, in the periodic case the growth from multiple seeds most likely leads to a structure with multiple domains. Our work lays the theoretical foundations for growing perfect quasicrystals from different seeds and is therefore relevant for many applications.

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Section: Introductionmentioning

confidence: 99%

Dislocation-free growth of quasicrystals from two seeds due to additional phasonic degrees of freedom

et al. 2017

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“…They seem to build more likely than quasicrystals with other symmetries [9,10] that would possess even more degrees of freedom (see, e.g. [7]).…”

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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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“…k = 3 for N = 5 or N = 8 and k = 5 for N = 12 [5,7]. Note, for quasicrystals with D > 4 there are additional phasonic variables [9].…”

Section: Methods and Background: Laser Patterns Phasons And Charactermentioning

confidence: 99%

Stability of particles in two-dimensional quasicrystals against phasonic perturbations

Martinsons

Schmiedeberg

2020

J. Phys.: Conf. Ser.

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We investigate particles in two-dimensional quasicrystalline interference patterns and present a method to determine for each particle at which phasonic displacement a phasonic flip occurs. By mapping all particles into characteristic areas of reduced phononic and phasonic displacements, we identify the particles that are close to edges of these areas and can easily flip. In contrast, the particles in the center are hardly affected by phasonic fluctuations. Our results are important e.g. for light-induced colloidal structures or cold atomic gases in laser traps. In addition, our approach can help to predict how thermal fluctuations induce phasonic flips in intrinsic quasicrystals with structures close to interference patterns.

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Colloidal Trajectories in Two-Dimensional Light-Induced Quasicrystals with 14-Fold Symmetry due to Phasonic Drifts

Cited by 13 publications

References 25 publications

Dislocation-free growth of quasicrystals from two seeds due to additional phasonic degrees of freedom

Dislocation-free growth of quasicrystals from two seeds due to additional phasonic degrees of freedom

Stabilizing quasicrystals composed of patchy colloids by narrowing the patch width

Stability of particles in two-dimensional quasicrystals against phasonic perturbations

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