Sam Coates
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View article: Quasiperiodic arrays of finite-size <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi mathvariant="normal">C</mml:mi> <mml:mn>60</mml:mn> </mml:msub> </mml:math> molecular chains induced by anisotropic growth
Quasiperiodic arrays of finite-size molecular chains induced by anisotropic growth Open
Due to their diverse adsorption sites with distinct electronic, chemical, and geometrical properties, quasicrystal surfaces serve as a platform for growing novel overlayer structures. Here, we present the growth of C 60 molecules on a …
View article: Metallic mean fractal systems and their tilings
Metallic mean fractal systems and their tilings Open
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 golden mean ratio \frac{1+\sqrt{5}}{2} , we introduce and char…
View article: Interaction of water surface waves with periodic and quasiperiodic cylinder arrays
Interaction of water surface waves with periodic and quasiperiodic cylinder arrays Open
Inspired by transformation optics and photonic crystals, this paper presents a computational investigation into the interaction between water surface waves and array waveguides of cylinders with multiple previously unexplored lattice geome…
View article: Designing aperiodic to periodic interfaces
Designing aperiodic to periodic interfaces Open
Symmetry sharing facilitates coherent interfaces which can transition from periodic to aperiodic structures. Motivated by the design and construction of such systems, we present hexagonal aperiodic tilings with a single edge-length which c…
View article: Octagonal tilings with three prototiles
Octagonal tilings with three prototiles Open
Motivated by theoretically and experimentally observed structural phases with octagonal symmetry, we introduce a family of octagonal tilings which are composed of three prototiles. We define our tilings with respect to two non-negative int…
View article: Hexagonal and Trigonal Quasiperiodic Tilings
Hexagonal and Trigonal Quasiperiodic Tilings Open
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 aperiodic long‐range order in models that are easier to treat.…
View article: Metallic mean fractal systems and their tilings
Metallic mean fractal systems and their tilings Open
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 golden mean ratio $\frac{1+\sqrt{5}}{2}$, we introduce and cha…
View article: Designing aperiodic to periodic interfaces
Designing aperiodic to periodic interfaces Open
Symmetry sharing facilitates coherent interfaces which can transition from periodic to aperiodic structures. Motivated by the design and construction of such systems, we present hexagonal aperiodic tilings with a single edge-length which c…
View article: Fabricating Quasiperiodic Tilings with Thermal‐Scanning Probe Lithography
Fabricating Quasiperiodic Tilings with Thermal‐Scanning Probe Lithography Open
We outline an approach to fabricate nanoscale artificial quasiperiodic tilings with thermal‐scanning probe lithography. Quasiperiodic tilings such as the Ammann‐Beenker, Square Fibonacci tiling, and Penrose are fabricated and imaged with t…
View article: Quasicrystalline Antimony Thin Films
Quasicrystalline Antimony Thin Films Open
The growth of antimony (Sb) thin films on the fivefold surface of icosahedral Ag−In−Yb quasicrystal has been studied by scanning tunneling microscopy (STM) and x‐ray photoelectron spectroscopy (XPS). At low coverage, the deposited Sb yield…
View article: Scanning Tunnelling Microscopy Studies of Tsai‐Type Quasicrystal Approximants
Scanning Tunnelling Microscopy Studies of Tsai‐Type Quasicrystal Approximants Open
We review scanning tunnelling microscopy (STM) studies of the surfaces of periodic Tsai‐type approximants. Although they are useful analogues to the Tsai‐type quasicrystals, the surfaces of these periodic approximants behave in subtly diff…
View article: Ferromagnetically ordered states in the Hubbard model on the $H_{00}$ hexagonal golden-mean tiling
Ferromagnetically ordered states in the Hubbard model on the $H_{00}$ hexagonal golden-mean tiling Open
We study magnetic properties of the half-filled Hubbard model on the two-dimensional $H_{00}$ hexagonal golden-mean quasiperiodic tiling. The tiling is composed of large and small hexagons, and parallelograms, and its vertex model is bipar…
View article: Confined states in the tight-binding model on the hexagonal golden-mean tiling
Confined states in the tight-binding model on the hexagonal golden-mean tiling Open
We study the tight-binding model with two distinct hoppings ( t L , t S ) on the two-dimensional hexagonal golden-mean tiling and examine the confined states with E = 0, where E is the eigenenergy. Some confined states found in the case t …
View article: A three tile 6-fold golden-mean tiling
A three tile 6-fold golden-mean tiling Open
We present a multi-edge-length aperiodic tiling which exhibits 6--fold rotational symmetry. The edge lengths of the tiling are proportional to 1:$τ$, where $τ$ is the golden mean $\frac{1+\sqrt{5}}{2}$. We show how the tiling can be genera…
View article: Confined states in the tight-binding model on the hexagonal golden-mean tiling
Confined states in the tight-binding model on the hexagonal golden-mean tiling Open
We study the tight-binding model with two distinct hoppings $(t_L, t_S)$ on the two-dimensional hexagonal golden-mean tiling and examine the confined states with $E=0$, where $E$ is the eigenenergy. Some confined states found in the case $…
View article: Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling Open
We study magnetic properties of the half-filled Hubbard model on the\ntwo-dimensional hexagonal golden-mean tiling. We find that the vertex model of\nthe tiling is bipartite, with a sublattice imbalance of $\\sqrt{5}/(6\\tau^3)$\n(where $\…
View article: Hexagonal and trigonal quasiperiodic tilings
Hexagonal and trigonal quasiperiodic tilings Open
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 aperiodic long-range order in models that are easier to treat.…
View article: Growth of pentacene molecules on Tsai-type quasicrystals and related crystal surfaces
Growth of pentacene molecules on Tsai-type quasicrystals and related crystal surfaces Open
We present a study of the adsorption of pentacene (Pn) molecules on the high symmetry (fivefold, threefold, and twofold) surfaces of the icosahedral (i) Ag–In–Yb quasicrystal. We also compare the results with adsorption of Pn on a surface …
View article: Epitaxial thin films on Tsai-type quasicrystals
Epitaxial thin films on Tsai-type quasicrystals Open
We will present several interesting structures of thin films grown on Tsai-type quasicrystal, icosahedral (i)-Ag-In-Yb, studied by various experimental techniques including scanning tunnelling microscopy (STM).The results include three dim…
View article: High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems
High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems Open
Monte Carlo approaches to aperiodic spin systems have found a range of antiferromagnetic ground states for both classical and quantum spins. In each case, the spin calculations have been undertaken on quasilattices in the appropriate dimen…
View article: Adsorption of Pentacene on the 2–Fold Surface of the Icosahedral Ag–In–Yb Quasicrystal
Adsorption of Pentacene on the 2–Fold Surface of the Icosahedral Ag–In–Yb Quasicrystal Open
The adsorption of pentacene molecules on the 2–fold surface of the icosahedral (i)–Ag–In–Yb quasicrystal (QC) has been studied using scanning tunnelling microscopy (STM). The STM images show that the molecules are arranged in rows, and ali…
View article: C<sub>60</sub> on impurity phases of the 2–fold surface of the Al–Pd–Mn quasicrystal
C<sub>60</sub> on impurity phases of the 2–fold surface of the Al–Pd–Mn quasicrystal Open
Using STM, we show several off-stoichiometric impurity phases detected at the 2-fold Al–Pd–Mn quasicrystal surface. By comparing the observed surface structure to planes from similar bulk phases in the Al–Pd system, we identify these phase…
View article: Bias-voltage dependent STM images from the 2–fold surface of the icosahedral Ag-In-Yb quasicrystal
Bias-voltage dependent STM images from the 2–fold surface of the icosahedral Ag-In-Yb quasicrystal Open
The 2–fold surface of the icosahedral ( i -)Ag–In–Yb quasicrystal has been investigated using scanning tunnelling microscopy (STM). STM data reveals a bias-voltage dependency. At high positive bias, bright protrusions are observed. At nega…
View article: Preparation dependent surface structure of NiAl(100)
Preparation dependent surface structure of NiAl(100) Open
The dependence of surface structure formation on preparation conditions of NiAl(100) has been investigated by Scanning Tunnelling Microscopy (STM), Low Energy Electron Diffraction (LEED) and Density Functional Theory (DFT). STM and LEED ha…