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Line Defects in One-Dimensional Hexagonal Quasicrystals [PDF]
MathematicsUsing the eight-dimensional framework of the integral formalism of one-dimensional quasicrystals, the analytical expressions for the displacement fields and stress functions of line defects, which are dislocations and line forces, in one-dimensional ...
Markus Lazar
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Forming quasicrystals by monodisperse soft core particles [PDF]
Nature Communications, 2017 Quasicrystals with structural symmetries forbidden in crystals have been found in alloys or mono-component systems composed of anisotropic units. Zu et al.
Mengjie Zu, Peng Tan, Ning Xu
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Line Defects in Quasicrystals [PDF]
CrystalsThe six-dimensional framework of the integral formalism for line defects (straight dislocations and line forces) in anisotropic elasticity has been extended to a 2n-dimensional integral formalism for line defects in quasicrystals (n=4,5,6 for one-, two-,
Markus Lazar
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Comprehensive experimental datasets of quasicrystals and their approximants [PDF]
Scientific DataQuasicrystals are solid-state materials that typically exhibit unique symmetries, such as icosahedral or decagonal diffraction symmetry. They were first discovered in 1984.
Erina Fujita +8 more
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Line Defects in Two-Dimensional Dodecagonal Quasicrystals
MathematicsIn this work, line defects in two-dimensional dodecagonal quasicrystals are investigated. Using the ten-dimensional framework of the integral formalism of two-dimensional quasicrystals, the closed-form solutions for the displacement fields and stress ...
Markus Lazar
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Robust flat bands in twisted trilayer graphene moiré quasicrystals [PDF]
Nature CommunicationsMoiré structures formed by twisting three layers of graphene with two independent twist angles present an ideal platform for studying correlated quantum phenomena, as an infinite set of angle pairs is predicted to exhibit flat bands.
Chen-Yue Hao +8 more
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Disclinations in quasicrystals [PDF]
Physical Review Letters, 1987 The most significant feature in the transition from the quasicrystalline to the amorphous state is the loss of long-range bond-orientational order. Disclinations are candidates for elementary excitations which destroy angular correlations. Generalizing the topological defect classification, we investigate point singularities in two-dimensional ...
Bohsung, Jörg, Trebin, Hans-Rainer
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Macedonian Journal of Chemistry and Chemical Engineering, 2023 Photographic slides of an aperiodic heptagonal tiling were used as two-dimensional diffraction gratings (as a standard approach) to describe and demonstrate the basic properties of dodecagonal quasicrystals.
Vladimir M. Petruševski +1 more
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INTERACTIONS IN QUASICRYSTALS [PDF]
International Journal of Modern Physics B, 2000 Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is dealing with interacting electrons in periodic crystalline structures.
Vidal, Julien +2 more
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Fascinating quasicrystals [PDF]
Acta Crystallographica Section A Foundations of Crystallography, 2007 It took Dan Shechtman more than two years to get his discovery of an Al–Mn phase with icosahedral diffraction symmetryandsharp Bragg reflections published. A paradigm shift had to take place before this novel ordering state of matter – seemingly contradicting crystallographic laws – could be accepted.
Steurer W, Deloudi S
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