20 citations · 37 across the 9 of their papers we have counts for
4 papers · 1 filter
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 $…
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…
Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
Akihisa Koga, Sam Coates
We study magnetic properties of the half-filled Hubbard model on the two-dimensional hexagonal golden-mean tiling. We find that the vertex model of the tiling is bipartite, with a…
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…