Topological states in quasicrystals
Webtopological phases of quasicrystals, whose properties can sometimes be inferred from those of a higher-dimensional periodic system. For instance, certain 1D quasiperiodic systems have been shown [31] to inherit the topological indices and edge states of the ubiquitous 2D Harper-Hofstadter model [32,33]. Indeed, a plethora of intriguing WebOct 26, 2014 · Topological ideas in photonics branch from exciting developments in solid-state materials, along with the discovery of new phases of matter called topological insulators 1,2. Topological ...
Topological states in quasicrystals
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WebSep 4, 2012 · They demonstrate an unexpected mathematical connection between quasicrystals and topological insulators , a class of unconventional insulators with …
WebMar 13, 2024 · The presence and construction of topological states in two-dimensional quasicrystalline models are investigated. Interesting topological states that exist in the bulk but not at the boundary are found for single-particle Hofstadter models on quasicrystalline quasilattices. The destruction of the periodic nature of the Hofstadter butterfly, due to … WebMay 19, 2012 · The 2011 Nobel Prize in chemistry has been awarded to Dan Shechtman for his discovery of quasicrystals. The discovery has indeed been a breakthrough in crystallography and solid state physics and chemistry. After a brief introduction to the subject, we review some of the recent advances in the understanding of the atomic …
WebApr 9, 2024 · λ = 1.0, where the states of the system change from extended to localized, precisely like in a metal-insulator phase transition. Keywords: topological states, phonons, phase transition, quasicrystals (Some figures may appear in colour only in the online journal) J R M Silva et al Phononic topological states in one-dimensional quasicrystals WebDec 14, 2024 · Recently, study of topological states of matter has moved to amorphous and quasicrystalline systems, which offer further diversity in the physics and resultant phenomena. Here, the authors study ...
WebJan 19, 2024 · However, in non-Hermitian quasicrystals, such transitions can be mutually interlinked by forming a triple phase transition ¹⁰ . ... Yao, S. & W ang, Z. Edge states and topological invariants of ...
WebMay 26, 2024 · The robustness of topological corner states is also demonstrated. Our work provides the experimental evidence of topological phases in 2D quasicrystalline systems. hernando beach fl mapWebWith the rapid development of topological states in crystals, the study of topological states has been extended to quasicrystals in recent years. In this review, we summarize the … hernando beach florida fishing reportWebDec 29, 2024 · Corner states (CSs) in higher-order topological insulators (HOTIs) have recently been of great interest in both crystals and quasicrystals. In contrast to electronic systems, HOTIs have not been found in photonic quasicrystals (PQCs). Here, we systemically study the higher-order topology in the two-dimensional Thue-Morse photonic … maximilian mohrichWebSep 7, 2012 · We harness the topological nature of these states to adiabatically pump light across the quasicrystal. We generalize our results to higher-dimensional systems and … maximilian morgenthalerWebOct 28, 2012 · Figure 1: Experimental observation of adiabatic pumping via topologically protected boundary states in a photonic quasicrystal. (a) An illustration of the adiabatically modulated photonic quasicrystal, … maximilian michael andreas schillingWebChiral photonic topological states in Penrose quasicrystals. Yingfang Zhang, Zhihao Lan, Liyazhou Hu, Yiqing Shu, Xun Yuan, Penglai Guo, Xiaoling Peng, Weicheng Chen, and … maximilian mordhorstWebHere, we show that 2D quasicrystals have a topological insulating phase that exhibits mobile one-way edge states residing in the topological gap. These topologically pro … maximilian mordhorst bundestag