2017
DOI: 10.1103/physreve.96.012602
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Dislocation-free growth of quasicrystals from two seeds due to additional phasonic degrees of freedom

Abstract: 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 p… Show more

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Cited by 17 publications
(18 citation statements)
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“…These systems could potentially provide a rich source of performative geometries for innovating new structures, systems, materials, patterns, surfaces and forms. One intriguing potential of their unique quasi-periodic formations is the ability to orchestrate the flow of light or sound energy, which could find applications across a wide range of light and soundbased technologies (Roichman and Grier 2005;Steurer and Widmer 2007;Mikhael et al 2010;Schmiedeberg and Stark 2012;Martinsons et al 2014;Dong et al 2015;Boriskina 2015;Schmiedeberg et al 2017). In this context, this paper is focused specifically on investigating aspects of the acoustical diffusion behavior of quasi-periodic formations.…”
Section: Introductionmentioning
confidence: 99%
“…These systems could potentially provide a rich source of performative geometries for innovating new structures, systems, materials, patterns, surfaces and forms. One intriguing potential of their unique quasi-periodic formations is the ability to orchestrate the flow of light or sound energy, which could find applications across a wide range of light and soundbased technologies (Roichman and Grier 2005;Steurer and Widmer 2007;Mikhael et al 2010;Schmiedeberg and Stark 2012;Martinsons et al 2014;Dong et al 2015;Boriskina 2015;Schmiedeberg et al 2017). In this context, this paper is focused specifically on investigating aspects of the acoustical diffusion behavior of quasi-periodic formations.…”
Section: Introductionmentioning
confidence: 99%
“…Modeling quasicrystals and their evolution using the PFC approach shows great promise. Recent works have considered quasicrystal growth modes [23], interfaces between quasicrystalline grains from multiple separate seeds [24], monolayers on quasicrystalline surfaces [25] and even three-dimensional quasicrystalline systems [26]. On the other hand, where periodic crystals display an endlessly repeating motif quasicrystals do not obey this rule which drastically complicates both the detection of a lattice orientation and grain extraction with the current methods [11,13,19].…”
Section: Introductionmentioning
confidence: 99%
“…Although past studies on QC growth mechanisms extend our understanding of phason contributions to stability in a bulk QC 1,2,9 , studies on phason contributions to the formation and motion of grain boundaries (GBs) remain limited 10 . Yet the latter is critically important from a practical standpoint since the formation of polycrystals is unavoidable due to finite nucleation rates below the melting point.…”
mentioning
confidence: 99%
“…Recently, Schmiedeberg et al 10 conducted phase field crystal simulations to determine whether and when a GB may form between two QCs. In general, they observe that grain coalescence occurs more readily in dodecagonal QCs than in periodic crystals.…”
mentioning
confidence: 99%