Energy landscape in a Penrose tiling

Energy landscape in a Penrose tiling

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 hierarc...

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Veröffentlicht in:Physical review. B 2016-02, Vol.93 (7), Article 075141
Hauptverfasser: Vignolo, Patrizia, Bellec, Matthieu, Böhm, Julian, Camara, Abdoulaye, Gambaudo, Jean-Marc, Kuhl, Ulrich, Mortessagne, Fabrice
Format: Artikel
Sprache:eng
Schlagworte:
Condensed Matter
Landscapes
Marking
Mathematical Physics
Microwaves
Physics
Quasicrystalline structure
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Beschreibung
Zusammenfassung: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.
ISSN:2469-9950
1098-0121
2469-9969
1550-235X
DOI:10.1103/PhysRevB.93.075141