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We report theoretical electronic structure of Fibonacci superlattices of narrow-gap III-V semiconductors. Electron dynamics is accurately described within the envelope-function approximation in a two-band model. Quasiperiodicity is…

凝聚态物理 · 物理学 2009-10-28 F. Dominguez-Adame , E. Macia , B. Mendez , C. L. Roy , A. Khan

We describe a quasiperiodic optical lattice, created by a physical realization of the abstract cut-and-project construction underlying all quasicrystals. The resulting potential is a generalization of the Fibonacci tiling. Calculation of…

量子气体 · 物理学 2016-01-18 Kevin Singh , Kush Saha , Siddharth A. Parameswaran , David M. Weld

We present a detailed study of the dynamics of electronic wavepackets in Fibonacci semiconductor superlattices, both in flat band conditions and subject to homogeneous electric fields perpendicular to the layers. Coherent propagation of…

介观与纳米尺度物理 · 物理学 2009-10-28 Enrique Diez , Francisco Dominguez-Adame , Enrique Macia , Angel Sanchez

We study the electronic structure of a new type of Fibonacci superlattice based on Si $\delta$-doped GaAs. Assuming that $\delta$-doped layers are equally spaced, quasiperiodicity is introduced by selecting two different donor…

凝聚态物理 · 物理学 2015-06-25 F. Dominguez-Adame , E. Macia , B. Mendez

We analyse nonlinear wave propagation and cascaded self-focusing due to second-harmonic generation in Fibbonacci optical superlattices and introduce a novel concept of nonlinear physics, the quasiperiodic soliton, which describes spatially…

patt-sol · 物理学 2009-10-31 Carl Balslev Clausen , Yuri S. Kivshar , Ole Bang , Peter L. Christiansen

The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is revisited as a basis for investigating binary waveguide arrays, such as ribbed AlGaAs structures, among…

斑图形成与孤子 · 物理学 2009-11-13 Kyriakos Hizanidis , Yannis Kominis , Nikolaos K. Efremidis

The distinctive electronic properties of quasicrystals stem from their long range structural order, with invariance under rotations and under discrete scale change, but without translational invariance. d-dimensional quasicrystals can be…

统计力学 · 物理学 2021-11-24 Anuradha Jagannathan

Recently, a nonlinear stability theory has been developed for wave trains in reaction-diffusion systems relying on pure $L^\infty$-estimates. In the absence of localization of perturbations, it exploits diffusive decay caused by smoothing…

偏微分方程分析 · 数学 2024-10-24 Joannis Alexopoulos , Björn de Rijk

We present exact results for the transmission coefficient of a linear lattice at one or more sites of which we attach a Fibonacci quasiperiodic chain. Two cases have been discussed, viz, when a single quasiperiodic chain is coupled to a…

介观与纳米尺度物理 · 物理学 2009-11-11 Arunava Chakrabarti

We study the emergence of quasiperiodic Bloch wave functions in quasicrystals, employing the one-dimensional Fibonacci model as a test case. We find that despite the fact that Bloch functions are not eigenfunctions themselves,…

材料科学 · 物理学 2022-03-29 Omri Lesser , Ron Lifshitz

Exploring nonminimal-rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long-range order in models that are easier to treat.…

软凝聚态物质 · 物理学 2025-07-30 Sam Coates , Akihisa Koga , Toranosuke Matsubara , Ryuji Tamura , Hem Raj Sharma , Ronan McGrath , Ron Lifshitz

The spectral evolution from periodic structure to random structure has always been an interesting topic in solid state physics, the generalized n-component Fibonacci sequences (n- CF) provide a convenient tool to investigate such process…

材料科学 · 物理学 2015-05-20 Da Liu , Weiyi Zhang

We study a model of quasiparticles on a two-dimensional square lattice coupled to Gaussian distributed dynamical fields. The model describes quasiparticles coupled to spin or charge fluctuations and is solved by a Monte Carlo sampling of…

强关联电子 · 物理学 2009-11-10 P. Monthoux

Quasi-phasematched interactions in waveguides with quadratic nonlinearities enable highly efficient nonlinear frequency conversion. In this article, we demonstrate the first generation of devices that combine the dispersion-engineering…

We investigate the transport properties of a classical wave propagating through a quasi-periodic Fibonacci array of waveguide segments in the form of loops. The formulation is general, and applicable for electromagnetic or acoustic waves…

无序系统与神经网络 · 物理学 2009-11-10 Sheelan Sengupta , Arunava Chakrabarti

Quasiperiodic Fibonacci-like and fractal Cantor-like single- and multiple-row nanopillar waveguides are investigated theoretically employing the finite difference time domain (FDTD) method. It is shown that resonant modes of the Fibonacci…

材料科学 · 物理学 2009-11-11 Sergei V. Zhukovsky , Dmitry N. Chigrin , Johann Kroha

We show that a quasiperiodic magnetic chain comprising magnetic atomic sites sequenced in Fibonacci pattern can act as a prospective candidate for spin filters for particles with arbitrary spin states. This can be achieved by tuning a…

介观与纳米尺度物理 · 物理学 2019-04-29 Biplab Pal

Noise-enhanced chaos in a doped, weakly coupled GaAs/Al_{0.45}Ga_{0.55}As superlattice has been observed at room temperature in experiments as well as in the results of the simulation of nonlinear transport based on a discrete tunneling…

Semiconductor superlattices are strongly nonlinear media offering several technological challenges associated with the generation of high-frequency Gigahertz radiation and very effective frequency multiplication up to several Terahertz.…

介观与纳米尺度物理 · 物理学 2020-08-11 Apostolos Apostolakis , Mauro F. Pereira

The spectrum of spinless, non-interacting electrons on a linear chain that is buckled in a non- uniform manner giving it a flavor of a topologically disordered lattice, is investigated within a tight binding formalism. We have addressed two…

无序系统与神经网络 · 物理学 2017-06-07 Amrita Mukherjee , Atanu Nandy , Arunava Chakrabarti
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