20 citations · 37 across the 9 of their papers we have counts for
11 papers
Intrinsic excitations and a proposed ground state in an Ammann-Beenker artificial spin ice
E Weightman, L O'Brien, S Coates
Artificial spin ices built on quasiperiodic geometries remain under-explored. Here we investigate an ASI based on the octagonal Ammann-Beenker tiling, whose six vertex types presen…
Artificial spin ice systems on single edge length tilings
Ellie Weightman, Sam Coates
Artificial spin ices (ASIs) are decorations of single domain nanomagnets on geometric lattices allowing for study of magnetic interactions on easily varied lattice geometries. We e…
Octagonal tilings with three prototiles
April Lynne D. Say-awen, Sam Coates
Motivated by theoretically and experimentally observed structural phases with octagonal symmetry, we introduce a family of octagonal tilings which are composed of three prototiles.…
Interaction of water surface waves with periodic and quasiperiodic cylinder arrays
Joseph A. Smerdon, Sam Coates, Bogdan J. Matuszewski +1
Inspired by transformation optics and photonic crystals, this paper presents a computational investigation into the interaction between water surface waves and array waveguides of…
Metallic mean fractal systems and their tilings
Sam Coates
Fractals and quasiperiodic structures share self-similarity as a structural property. Motivated by the link between Fibonacci fractals and quasicrystals which are scaled by the gol…
Designing aperiodic to periodic interfaces
Sam Coates
Symmetry sharing facilitates coherent interfaces which can transition from periodic to aperiodic structures. Motivated by the design and construction of such systems, we present he…
Ferromagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
Toranosuke Matsubara, Akihisa Koga, Sam Coates
We study magnetic properties of the half-filled Hubbard model on the two-dimensional hexagonal golden-mean quasiperiodic tiling. The tiling is composed of large and small…
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…