Results 51 to 60 of about 31,449 (238)

Topological models in rotationally symmetric quasicrystals [PDF]

open access: yesPhysical review B, 2019
We investigate the physics of quasicrystalline models in the presence of a uniform magnetic field, focusing on the presence and construction of topological states. This is done by using the Hofstadter model but with the sites and couplings denoted by the
C. Duncan, Sourav Manna, A. Nielsen
semanticscholar   +1 more source

Proliferation of anomalous symmetries in colloidal monolayers subjected to quasiperiodic light fields

open access: yes, 2010
Quasicrystals provide a fascinating class of materials with intriguing properties. Despite a strong potential for numerous technical applications, the conditions under which quasicrystals form are still poorly understood.
Ashkin   +16 more
core   +2 more sources

Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport [PDF]

open access: yes, 2016
We show that it is possible to have a topological phase in two-dimensional quasicrystals without any magnetic field applied, but instead introducing an artificial gauge field via dynamic modulation.
M. Bandres, M. Rechtsman, M. Segev
semanticscholar   +1 more source

Generalized dynamics of moving dislocations in quasicrystals

open access: yes, 2010
A theoretical framework for dislocation dynamics in quasicrystals is provided according to the continuum theory of dislocations. Firstly, we present the fundamental theory for moving dislocations in quasicrystals giving the dislocation density tensors ...
Agiasofitou, Eleni   +2 more
core   +1 more source

A Tale of Two Tilings [PDF]

open access: yes, 2008
What do you get when you cross a crystal with a quasicrystal? The surprising answer stretches from Fibonacci to Kepler, who nearly 400 years ago showed how the ancient tiles of Archimedes form periodic patterns.Comment: 3 pages, 1 ...
Aaron S. Keys   +10 more
core   +2 more sources

Topological Boundary Floppy Modes in Quasicrystals [PDF]

open access: yesPhysical Review X, 2018
We study topological mechanics in two-dimensional quasicrystalline parallelogram tilings. Topological mechanics has been studied intensively in periodic lattices in the past a few years, leading to the discovery of topologically protected boundary floppy
Di Zhou, Leyou Zhang, Xiaoming Mao
semanticscholar   +1 more source

Modulated quasicrystals

open access: yesIndagationes Mathematicae (Proceedings), 1987
In two previous papers [ibid. 43, 39-52 (1981; Zbl 0457.05021), 53-66 (1981; Zbl 0457.05022)] the author introduced the concept of a Poisson comb, a Dirac comb where Fourier transform is again a Dirac comb. Analogies between this concept and that of quasicrystal are pointed out.
openaire   +2 more sources

Visibility and Directions in Quasicrystals [PDF]

open access: yesInternational Mathematics Research Notices, 2014
It is well known that a positive proportion of all points in a $d$-dimensional lattice is visible from the origin, and that these visible lattice points have constant density in $\mathbb{R}^d$. In the present paper we prove an analogous result for a large class of quasicrystals, including the vertex set of a Penrose tiling.
Jens Marklof, Andreas Strömbergsson
openaire   +4 more sources

Zwitterion‐Stabilized Superlattices and Frank‐Kasper Phases in Charged Block Copolymers for Mechanically Robust Dielectric Soft Materials

open access: yesAdvanced Science, EarlyView.
Superlattices formed by the co‐assembly of acid‐functionalized block copolymers and zwitterions exhibit tunable morphologies, transitioning from lamellae to cylinders to Frank‐Kasper phases. Zwitterion interfacial localization enhances dielectric constant, mechanical strength, and thermal stability, making these materials promising for soft electronics
Jaemin Min, Hojun Lee, Moon Jeong Park
wiley   +1 more source

New group of stable icosahedral quasicrystals: structural properties and formation conditions

open access: yes, 2003
Structural studies on the icosahedral quasicrystals in Zn-Mg-Sc, Cu-Ga-Mg-Sc, and Zn-Mg-Ti alloys as well as their corresponding 1/1 cubic approximants, have revealed that these quasicrystals belong to a new structural group similar to Cd-based ...
Andrusyak   +22 more
core   +1 more source

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