Revealing the topology of quasicrystals with a diffraction experiment

Abstract

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.

Supplementary Material available as ancillary files

References in corpus (3)

• The electronic properties of graphene
• Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
• Measuring topological invariants from generalized edge states in polaritonic quasicrystals

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