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Quantum dots in aperiodic order
Physica E: Low-dimensional Systems and Nanostructures, 1998Abstract We study numerically with a Green-function technique one-dimensional arrays of quantum dots with two different models. The arrays are ordered according to the Fibonacci, the Thue–Morse, and the Rudin–Shapiro sequences. As a comparison, results from a periodically ordered chain and also from a random chain are included.
Michael Hörnquist, Thomas Ouchterlony
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Aperiodic Order in Nanoplasmonics
2013In this chapter, we review our work on the engineering of aperiodic order for nanoplasmonics device applications. In particular, we discuss the optical response of arrays of metallic nanoparticles with Fourier spectral features that interpolate in a tunable fashion between periodic crystals and disordered random media, referred to as Deterministic ...
Sylvanus Y. Lee +5 more
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Entropy in the context of aperiodic order
2021Entropy is a well-studied concept and the literature contains a vast amount of material on this concept in the context of actions of countable discrete amenable groups. In this thesis we extend several statements about entropy and topological pressure to the context of unimodular amenable groups.
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Aperiodic structures and notions of order and disorder
Philosophical Magazine, 2010The fabrication of artificial heterostructures is mainly based on substitution systems. We present simple ways to construct double-sided versions of the Fibonacci, Prouhet–Thue–Morse, paperfolding, period doubling and Golay–Rudin–Shapiro sequences. We also construct a generic instance of the two-dimensional Prouhet–Thue–Morse structure and explore its ...
S.I. Ben-Abraham, Alexander Quandt
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Mathematics of Aperiodic Order
2015Preface.- 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures.- 2.S. Akiyama, M. Barge, V. Berthe, J.-Y. Lee and A. Siegel: On the Pisot Substitution Conjecture.- 3. L. Sadun: Cohomology of Hierarchical Tilings.- 4.J. Hunton: Spaces of Projection Method Patterns and their Cohomology.- 5.J.-B. Aujogue, M. Barge,
Kellendonk, Johannes +2 more
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On Wave Dynamics Pertaining to Structures with Aperiodic Order [PDF]
, 2004 Interactions of electromagnetic (EM) waves with either perfectly periodic or randomly disordered structures are problems of longstanding interest, with many applications. For instance, periodic structures are encountered in a variety of applications in modern EM engineering, such as phased arrays, frequency selective surfaces and photonic band-gap ...
V. GALDI +5 more
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Local rules and global order, or aperiodic tilings
The Mathematical Intelligencer, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leonid A. Levin +2 more
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Phonons in aperiodically ordered layer systems
Surface Science, 2008Abstract We have studied the phonons in multilayer structures following different aperiodic sequences (Fibonacci, Thue–Morse, Period-Doubling) along the growth direction. We have employed a nearest-neighbor force constant model giving a reasonably realistic description of metal systems.
F.J. Fernández-Velicia +3 more
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The impact of aperiodic order on mathematics
Materials Science and Engineering: A, 2000Abstract Mathematics has been strongly influenced by problems arising from physics. The existence of quasicrystals as strongly ordered structures which cannot be periodic has raised various mathematical questions that have stimulated developments in the areas of discrete geometry, harmonic analysis, group theory and ergodic theory.
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