Results 81 to 90 of about 31,449 (238)
We introduce the concept of quasicrystals and discuss their diffraction patterns. The idea of local isomorphism is argued to be a physically meaningful one.
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Localized and Extended Phases in Square Moiré Patterns
Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero+2 more
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Asymptotic estimates of large gaps between directions in certain planar quasicrystals
Abstract For quasicrystals of cut‐and‐project type in Rd$\mathbb {R}^d$, it was proved by Marklof and Strömbergsson [Int. Math. Res. Not. IMRN (2015), no. 15, 6588–6617; erratum, ibid. 2020] that the limit local statistical properties of the directions to the points in the set are described by certain SLd(R)$\operatorname{SL}_d(\mathbb {R})$‐invariant ...
Gustav Hammarhjelm+2 more
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There are several incentives to identify the analogues of dislocations and disclinations in quasicrystals. Penrose patterns are two-dimensional systems, and according to phase space counting fluctuations of the atomic displacements are so strong that exact long-range order is reduced to quasi-longrange order just as in periodic crystals.
Bohsung, Jörg, Trebin, Hans-Rainer
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Use of Frit‐Disc Crucible Sets to Make Solution Growth More Quantitative and Versatile
The recent availability of step‐edge, frit‐disc crucible sets (generally sold as Canfield Crucible Sets or CCS) has led to multiple innovations associated with the group's use of solution growth. The use of CCS allows for the clean separation of liquid from solid phases during the growth process.
Paul C. Canfield, Tyler J. Slade
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The eight-fold way for optical quasicrystals
In a recent Letter we proposed a means to realize a quasicrystal with eight-fold symmetry by trapping particles in an optical potential created by four lasers.
Duneau, Michel, Jagannathan, Anuradha
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Discrete time quasicrystals [PDF]
Periodically driven quantum many-body systems can spontaneously reorganize their motion and start moving with a period different than the driving period. These are ``discrete time crystals'' and they have been realized already in the laboratory. It turns
Krzysztof Giergiel+2 more
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The remarkable surface properties of quasicrystals have motivated extensive investigations of their intrinsic atomic and electronic structures. In this article, we summarize some of the main conclusions obtained so far. We also describe adsorption experiments where quasiperiodic surfaces are used as templates to grow thin films with novel structures ...
Ledieu, Julian, Fournée, Vincent
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Engineering “Meso‐Atom” Bonding: Honeycomb‐Network Transitions in Reticular Liquid Crystals
Rod‐like molecules with highly branched carbosilane‐based side‐chains show two modes of aromatic core aggregation controlled by core fluorination. Serving as “meso‐atom bonds,” the locked‐in shift mode due to strong core–core interaction from fluorination replaces the A15‐type 3D cubic liquid crystal network phase by honeycombs with 2D periodicity ...
Christian Anders+8 more
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Stability of the decagonal quasicrystal in the Lennard-Jones-Gauss system
Although quasicrystals have been studied for 25 years, there are many open questions concerning their stability: What is the role of phason fluctuations? Do quasicrystals transform into periodic crystals at low temperature? If yes, by what mechanisms? We
Engel, Michael, Trebin, Hans-Rainer
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