Energy landscape in two-dimensional Penrose-tiled quasicrystal

Abstract

Since their spectacular experimental realisation in the early 80's, quasicrystals have been the subject of very active research, whose domains extend far beyond the scope of solid state physics. In optics, for instance, photonic quasicrystals have attracted strong interest for their specific behaviour, induced by the particular spectral properties, in light transport, plasmonic and laser action. Very recently, one of the most salient spectral feature of quasicrystals, namely the gap labelling, has been observed for a polariton gas confined in a one dimensional quasi-periodic cavity. This experimental result confirms a theory which is now very complete in dimension one. In dimension greater than one, the theory is very far from being complete. Furthermore, some intriguing phenomena, like the existence of self-similar eigenmodes can occur. All this makes two dimensional experimental realisations and numerical simulations pertinent and attractive. Here, we report on measurements and energy-scaling analysis of the gap labelling and the spatial intensity distribution of the eigenstates for a microwave Penrose-tiled quasicrystal. Far from being restricted to the microwave system under consideration, our results apply to a more general class of systems.

References in corpus (3)

• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential
• Brillouin zone labelling for quasicrystals

Cited by in corpus (16)

• Topological Photonics
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Measuring topological invariants from generalized edge states in polaritonic quasicrystals
• Many-body localization in a quasiperiodic Fibonacci chain
• Hofstadter butterfly of a quasicrystal
• Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling
• Quantum many-body topology of quasicrystals
• Mean-field study of the Bose-Hubbard model in Penrose lattice
• Physical properties of an Aperiodic monotile: Graphene-like features, chirality and zero-modes
• Spin waves in planar quasicrystal of Penrose tiling
• Local symmetry theory of resonator structures for the real-space control of edge states in binary aperiodic chains
• Lasing in optically induced gap states in photonic graphene
• Beating the aliasing limit with aperiodic monotile arrays
• Fractal Surface States in Three-Dimensional Topological Quasicrystals
• Spin-wave localization on phasonic defects in one-dimensional magnonic quasicrystal
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor