Energy landscape in a Penrose tiling

2014/11/05 by Patrizia Vignolo, Matthieu Bellec, Julian Boehm +5 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Computer graphics (images) #Computer science #Energy (signal processing) #Energy landscape #Geography #Geometry #Liquid Crystal Research Advancements #Mathematics #Penrose tiling #Photonic Crystals and Applications #Physics #Quasicrystal #Quasicrystal Structures and Properties #Statistics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.93.075141

published as Phys. Rev. B 93, 075141 (2016)

arxiv created 2014/11/05 · openalex publication_date 2016/02/22 · arxiv updated 2016/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We report on microwave measurements of the spectrum and the spatial intensity distribution of the eigenstates for an artificial Penrose tiling. The energy-scaling behavior of the Hamiltonian parameters in this particular system allows us to identify the main patterns that determine the first hierarchical structure of the spectrum and to provide a physical interpretation of the gap labeling. Our results apply to a general class of systems.

Citations

• Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard)
• Tilings and Patterns.
• Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
• Natural Quasicrystals

Cited by

• Lasing in optically induced gap states in photonic graphene
• Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling