Quasicrystals—The impact of N.G. de Bruijn

Au-Yang, Helen; Perk, Jacques H. H.

doi:10.1016/j.indag.2013.07.003

Cited by 4 publications

(3 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[ 3 ] Similar challenges exist for understanding their perfect growth and the generation of defects along the so‐called Conway worms, that is, characteristic chains of tiles in 2D quasicrystals. [ 4,5 ] The underlying mathematical concepts [ 6–8 ] and state‐of‐the‐art nanofabrication techniques allow researchers nowadays to explore aperiodicity‐induced effects based on a materials‐by‐design approach. [ 9 ] In photonics, artificial quasicrystals composed from nanoholes in thin dielectrics provoked distinct optical responses offering advanced manipulation of light waves.…”

Section: Introductionmentioning

confidence: 99%

“…These worms form aperiodic Fibonacci chains in the 2D Penrose tilings. [ 6–8 ] By BLS we obtain direct images of propagating magnons (Figure 1h) that exhibit irregular wavefronts across neighboring nanochannels which change with magnon frequency. These real‐space images taken on a 2D analogue of a natural quasicrystal [ 32 ] thereby provide fundamental insight into the formation of wave‐like states in quasicrystalline matter.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Direct Observation of Worm‐Like Nanochannels and Emergent Magnon Motifs in Artificial Ferromagnetic Quasicrystals

Watanabe

Bhat

Baumgaertl

et al. 2020

Adv Funct Materials

View full text Add to dashboard Cite

Quasicrystalline structures and aperiodic metamaterials find applications ranging from established consumer gadgets to potential high‐tech photonic components owing to both complex arrangements of constituents and exotic rotational symmetries. Magnonics is an evolving branch of magnetism research where information is transported via magnetization oscillations (magnons). Their control and manipulation are so far best accomplished in periodic metamaterials which exhibit properties artificially modulated on the nanoscale. They give rise to functional components, such as band stop filters, magnonic transistors and nanograting couplers. Here, spin‐wave excitations in artificial ferromagnetic quasicrystals created via aperiodic arrangement of nanoholes are studied experimentally. Their ten‐fold rotational symmetry results in multiplexed magnonic nanochannels, suggesting a width down to 50 nm inside a so‐called Conway worm. Key elements of design are emergent magnon motifs and the worm‐like features which are scale‐invariant and not present in the periodic metamaterials. By imaging wavefronts in quasicrystals, insight is gained into how the discovered features materialize as a dense wavelength division multiplexer.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Direct Observation of Worm‐Like Nanochannels and Emergent Magnon Motifs in Artificial Ferromagnetic Quasicrystals

Watanabe

Bhat

Baumgaertl

et al. 2020

Adv Funct Materials

View full text Add to dashboard Cite

show abstract

“…Penrose's original inflation construction gives a particular subset of the AR tilings. An overview of de Bruijn's work and connections with physical quasicrystals and diffraction is given by Au-Yang and Perk [1].…”

Section: Multigrid Frameworkmentioning

confidence: 99%

Parallelogram Frameworks and Flexible Quasicrystals

Power¹

2021

Mathematical Proceedings of the Royal Irish Academy

View full text Add to dashboard Cite

The first-order flex space of the bar-joint framework G P of a parallelogram tiling P is determined in terms of an explicit free basis. Applications are given to braced parallelogram frameworks and to quasicrystal frameworks associated with multigrids in the sense of de Bruijn and Beenker. In particular we characterise rigid bracing patterns, identify quasicrystal frameworks with finite dimensional flex spaces, and define a zero mode spectrum.

show abstract

Darb-e Imam Tessellations: A Mistake of 250 Years

Lauwers

2018

Nexus Netw J

View full text Add to dashboard Cite

A particular mosaic at the Darb-e Imam mausoleum in Isfahan has caused some controversy 10 years ago when it was claimed to exhibit quasi-periodic properties and that it was 500 years old. The technical part of this claim has been disputed (and refuted) by several authors. The date, 1453, also a key part of the press coverage that medieval Islamic artisans did advanced mathematics 500 years before the West, has not been challenged. We argue that the panel in question dates from the end of the Safavid period (1715-1717). Techniques developed during the Safavid period seem to be wrongly attributed to the fifteenth century.

show abstract

Quasicrystals—The impact of N.G. de Bruijn

Cited by 4 publications

References 70 publications

Direct Observation of Worm‐Like Nanochannels and Emergent Magnon Motifs in Artificial Ferromagnetic Quasicrystals

Direct Observation of Worm‐Like Nanochannels and Emergent Magnon Motifs in Artificial Ferromagnetic Quasicrystals

Parallelogram Frameworks and Flexible Quasicrystals

Darb-e Imam Tessellations: A Mistake of 250 Years

Contact Info

Product

Resources

About