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cond-mat.other2022
A three tile 6-fold golden-mean tiling
Sam Coates, Toranosuke Matsubara, Akihisa Koga
We present a multi-edge-length aperiodic tiling which exhibits 6--fold rotational symmetry. The edge lengths of the tiling are proportional to 1:, where is the golden mean $…
cond-mat.str-el2022★ 5 cited
Confined states in the tight-binding model on the hexagonal golden-mean tiling
Toranosuke Matsubara, Akihisa Koga, Sam Coates
We study the tight-binding model with two distinct hoppings on the two-dimensional hexagonal golden-mean tiling and examine the confined states with , where i…
cond-mat.soft2022★ 5 cited
Hexagonal and trigonal quasiperiodic tilings
Sam Coates, Akihisa Koga, Toranosuke Matsubara +4
Exploring nonminimal-rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of ape…