Properties of the Ammann–Beenker Tiling and its Square Periodic Approximants
Anuradha Jagannathan,
Michel Duneau
Abstract:Our understanding of physical properties of quasicrystals owes a great deal to studies of tight‐binding models constructed on quasiperiodic tilings. Among the large number of possible quasiperiodic structures, two dimensional tilings are of particular importance – in their own right, but also for information regarding properties of three dimensional systems. We provide here a users manual for those wishing to construct and study physical properties of the 8‐fold Ammann–Beenker quasicrystal, a good starting poi… Show more
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