arXiv 1509.040282015-09physics.opticscond-mat.mes-hallcond-mat.mtrl-sciquant-ph

Topological properties of Fibonacci quasicrystals : A scattering analysis of Chern numbers

E. Levy, A. Barak, A. Fisher, E. Akkermans

备注：: The text has been edited, and references were added

英文摘要：

We report on a study of topological properties of Fibonacci quasicrystals. Chern numbers which label the dense set of spectral gaps, are shown to be related to the underlying palindromic symmetry. Topological and spectral features are related to the two independent phases of the scattering matrix: the total phase shift describing the frequency spectrum and the chiral phase sensitive to topological features. Conveniently designed gap modes with spectral properties directly related to the Chern numbers allow to scan these phases. An effective topological Fabry-Perot cavity is presented.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Topological Pumping over a Photonic Fibonacci Quasicrystal

Quasiperiodic lattices have recently been shown to be a non-trivial topological phase of matter. Charge pumping -- one of the hallmarks of topological states of matter -- was recently realized for photons in a one-dimensional (1D) off-diagonal Harper model implemented in a photonic waveguide array. The topologically nontrivial 1D Fibonacci quasicrystal (QC) is expected to facilitate a similar phenomenon, but its discrete nature and lack of pumping parameter hinder the experimental study of such topological effects. In this work we overcome these obstacles by utilizing a family of topologically…

2014-03-27cond-mat.mes-hallcond-mat.mtrl-sciphysics.optics

Measuring topological invariants from generalized edge states in polaritonic quasicrystals

We investigate the topological properties of Fibonacci quasicrystals using cavity polaritons. Composite structures made of the concatenation of two Fibonacci sequences allow investigating generalized edge states forming in the gaps of the fractal energy spectrum. We employ these generalized edge states to determine the topological invariants of the quasicrystal. When varying a structural degree of freedom (phason) of the Fibonacci sequence, the edge states spectrally traverse the gaps, while their spatial symmetry switches: the periodicity of this spectral and spatial evolution yields direct m…

2017-05-22cond-mat.mes-hallcond-mat.quant-gasphysics.optics

One-dimensional photonic quasicrystals

In this chapter, first we will address principal aspects of 1D quasiperiodicity with a particular focus on 1D Fibonacci chains. Further, the rest of the chapter will be dedicated to the electromagnetic counterpart of 1D Fibonacci structures as a relatively simplest case of the large class of photonic quasicrystals.

2015-05-10cond-mat.mes-hallphysics.optics

Luminescence Properties of a Fibonacci Photonic Quasicrystal

We report the realization of an active one-dimensional Fibonacci photonic quasi-crystal via spin coating. Manipulation of the luminescence properties of an organic dye embedded in the quasi-crystal is presented and compared to theoretical simulations. The luminescence occurs via the pseudo-bandedge mode and follows the dispersion properties of the Fibonacci crystal. Time resolved luminescence measurement of the active structure shows faster spontaneous emission rate, indicating the effect of the large photon densities available at the bandedge due to the presence of critically localized states…

2008-09-10physics.optics

Revealing the topology of quasicrystals with a diffraction experiment

Topological properties of crystals and quasicrystals is a subject of recent and growing interest. This Letter reports an experiment where, for certain quasicrystals, these properties can be directly retrieved from diffraction. We directly observe, using an interferometric approach, all the topological invariants of finite-length Fibonacci chains in their diffraction pattern. We also demonstrate quantitatively the stability of these topological invariants with respect to structural disorder.

2017-11-23cond-mat.mes-hallcond-mat.mtrl-sciphysics.optics

Observation of Topological Phase Transitions in Photonic Quasicrystals

Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In quasicrystals, the bulk phase transitions occur in the same manner as standard topological materials, but their boundary phenomena are more subtle. In this Letter we directly observe bulk phase transitions, using photonic quasicrystals, by constructing a smooth boundary between topologically distinct one-dimensional quasicrystals. Moreover, we use the same method…

2013-02-15cond-mat.mes-hallphysics.opticsquant-ph

更多相关论文收起更多论文

Two dimensional photonic quasicrystal edge states protected by second Chern number

Topological physics in photonic systems have attracted great attentions in recent years. In this work, we theoretically study the one and two dimensional photonic quasicrystal resonator lattices characterized by the first and second Chern number, which show exotic boundary states within the photonic energy band gap. In particular, the second Chern number protected edge states has opened up new possibilities for realizing topological physics of dimensions higher than three in photonic systems, which is highly sought for. Such photonic systems can be easily experimentally realized in regular pho…

2015-04-15cond-mat.mes-hallphysics.optics

Topological States and Adiabatic Pumping in Quasicrystals

The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i) quasicrystals exhibit nontrivial topological properties and (ii) these properties are attributed to dimensions higher than that of the quasicrystal. Specifically, we show, both theoretically and experimentally, that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and, respectively, exhibit topologically protected boundary states equivale…

2012-09-17cond-mat.mes-hallcond-mat.mtrl-sciphysics.optics

准周期斐波那契时间调制介质中波放大的能量估计

Energy estimates for wave amplification in quasiperiodic Fibonacci time-modulated media

针对准周期斐波那契时间调制介质中的波放大问题，提出用时间超胞近似斐波那契时间准晶的方法，可预测参量放大区域并准确估计能量增长率。

2025-11-14math-phmath.MPphysics.optics

Penrose准晶体中的手性光子拓扑态

Chiral photonic topological states in Penrose quasicrystals

该研究在磁光Penrose光子准晶体中发现无需Bloch能带的手性拓扑边缘态，并用实空间Bott指数±1表征其非平凡拓扑。

2023-04-25cond-mat.mes-hallphysics.optics