Research outputs
2025
Metallic mean fractal systems and their tilings
Coates, S. (2025). Metallic mean fractal systems and their tilings. Journal of Fractal Geometry, Mathematics of Fractals and Related Topics. doi:10.4171/jfg/170
Interaction of water surface waves with periodic and quasiperiodic cylinder arrays
Smerdon, J. A., Coates, S., Matuszewski, B. J., & Rogers, B. D. (2025). Interaction of water surface waves with periodic and quasiperiodic cylinder arrays. Applied Ocean Research, 161, 104673. doi:10.1016/j.apor.2025.104673
Designing aperiodic to periodic interfaces
Coates, S. (2025). Designing aperiodic to periodic interfaces. Journal of Physics A: Mathematical and Theoretical, 58(23), 235001. doi:10.1088/1751-8121/addb93
2024
Fabricating Quasiperiodic Tilings with Thermal‐Scanning Probe Lithography
Chandler, L., Barker, O. J., Wright, A. J., O'Brien, L., Coates, S., McGrath, R., . . . Sharma, H. R. (2024). Fabricating Quasiperiodic Tilings with Thermal‐Scanning Probe Lithography. Israel Journal of Chemistry, 64(10-11). doi:10.1002/ijch.202300115
Hexagonal and Trigonal Quasiperiodic Tilings
Coates, S., Koga, A., Matsubara, T., Tamura, R., Sharma, H. R., McGrath, R., & Lifshitz, R. (2024). Hexagonal and Trigonal Quasiperiodic Tilings. Israel Journal of Chemistry. doi:10.1002/ijch.202300100
Quasicrystalline Antimony Thin Films
Raj Sharma, H., Nugent, P. J., Coates, S., & McGrath, R. (2024). Quasicrystalline Antimony Thin Films. Israel Journal of Chemistry, 64(10-11). doi:10.1002/ijch.202300135
Ferromagnetically ordered states in the Hubbard model on the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>H</mml:mi><mml:mn>00</mml:mn></mml:msub></mml:math> hexagonal golden-mean tiling
Matsubara, T., Koga, A., & Coates, S. (2024). Ferromagnetically ordered states in the Hubbard model on the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>H</mml:mi><mml:mn>00</mml:mn></mml:msub></mml:math> hexagonal golden-mean tiling. Physical Review B, 109(1). doi:10.1103/physrevb.109.014413
2023
Scanning Tunnelling Microscopy Studies of Tsai‐Type Quasicrystal Approximants
Coates, S., Burnie, D., Sharma, H. R., & McGrath, R. (2023). Scanning Tunnelling Microscopy Studies of Tsai‐Type Quasicrystal Approximants. Israel Journal of Chemistry. doi:10.1002/ijch.202300116
Ferromagnetically ordered states in the Hubbard model on the $H_{00}$ hexagonal golden-mean tiling
Confined states in the tight-binding model on the hexagonal golden-mean tiling
Matsubara, T., Koga, A., & Coates, S. (2023). Confined states in the tight-binding model on the hexagonal golden-mean tiling. In Journal of Physics: Conference Series Vol. 2461 (pp. 012003). IOP Publishing. doi:10.1088/1742-6596/2461/1/012003
2022
Confined states in the tight-binding model on the hexagonal golden-mean tiling
Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
Koga, A., & Coates, S. (2022). Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling. PHYSICAL REVIEW B, 105(10). doi:10.1103/PhysRevB.105.104410
Ferrimagnetically ordered states in the Hubbard model on the hexagonal golden-mean tiling
Growth of pentacene molecules on Tsai-type quasicrystals and related crystal surfaces
Sharma, H. R., Coates, S., Alofi, A., & McGrath, R. (2022). Growth of pentacene molecules on Tsai-type quasicrystals and related crystal surfaces. JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A, 40(1). doi:10.1116/6.0001412
2021
Epitaxial Thin Films on Tsai-type Quasicrystals
Sharma, H. R., Coates, S., Hars, S., & McGrath, R. (2021). Epitaxial Thin Films on Tsai-type Quasicrystals. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 77 (pp. C662). Retrieved from https://www.webofscience.com/
Pentacene growth on the (111) surface of the 1/1 Au-Al-Tb approximant: Influence of surface geometry on adsorption
Coates, S., McGrath, R., Sharma, H. R., & Tamura, R. (2021). Pentacene growth on the (111) surface of the 1/1 Au-Al-Tb approximant: Influence of surface geometry on adsorption. PHYSICAL REVIEW MATERIALS, 5(7). doi:10.1103/PhysRevMaterials.5.076002
Adsorption of Pentacene on the 2-Fold Surface of the Icosahedral Ag-In-Yb Quasicrystal
Alofi, A., Burnie, D., Coates, S., McGrath, R., & Sharma, H. R. (2021). Adsorption of Pentacene on the 2-Fold Surface of the Icosahedral Ag-In-Yb Quasicrystal. MATERIALS TRANSACTIONS, 62(3), 312-316. doi:10.2320/matertrans.MT-MB2020013
High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems
Coates, S., & Tamura, R. (2021). High Dimensional Approach to Antiferromagnetic Aperiodic Spin Systems. MATERIALS TRANSACTIONS, 62(3), 307-311. doi:10.2320/matertrans.MT-MB2020010
2020
Atomic structure of the (111) surface of the antiferromagnetic 1/1 Au-Al-Tb approximant
Coates, S., Nozawa, K., Fukami, M., Inagaki, K., Shimoda, M., McGrath, R., . . . Tamura, R. (2020). Atomic structure of the (111) surface of the antiferromagnetic 1/1 Au-Al-Tb approximant. PHYSICAL REVIEW B, 102(23). doi:10.1103/PhysRevB.102.235419
Influence of differences in orientational planar density on the growth of Pb on the i-Ag-In-Yb quasicrystal
Sharma, H., McGrath, R., & Coates, S. (2020). Influence of differences in orientational planar density on the growth of Pb on the i-Ag-In-Yb quasicrystal. Journal of Physics: Condensed Matter, 32(42). doi:10.1088/1361-648X/aba294
Unique growth mode observed in a Pb thin film on the threefold surface of an i-Ag-In-Yb quasicrystal
Coates, S., Thorn, S., McGrath, R., Sharma, H. R., & Tsai, A. P. (2020). Unique growth mode observed in a Pb thin film on the threefold surface of an i-Ag-In-Yb quasicrystal. PHYSICAL REVIEW MATERIALS, 4(2). doi:10.1103/PhysRevMaterials.4.026003
Bias-voltage dependent STM images from the 2-fold surface of the icosahedral Ag-In-Yb quasicrystal
Burnie, D., Coates, S., McGrath, R., & Sharma, H. R. (2020). Bias-voltage dependent STM images from the 2-fold surface of the icosahedral Ag-In-Yb quasicrystal. In 14TH INTERNATIONAL CONFERENCE ON QUASICRYSTALS Vol. 1458. doi:10.1088/1742-6596/1458/1/012017
C<sub>60</sub> on impurity phases of the 2-fold surface of the Al-Pd-Mn quasicrystal
Coates, S., Sharma, H. R., & McGrath, R. (2020). C<sub>60</sub> on impurity phases of the 2-fold surface of the Al-Pd-Mn quasicrystal. In 14TH INTERNATIONAL CONFERENCE ON QUASICRYSTALS Vol. 1458. doi:10.1088/1742-6596/1458/1/012015
C<sub>60</sub> on impurity phases of the 2–fold surface of the Al–Pd–Mn quasicrystal
Coates, S., Sharma, H. R., & McGrath, R. (2020). C<sub>60</sub> on impurity phases of the 2–fold surface of the Al–Pd–Mn quasicrystal. In Journal of Physics: Conference Series Vol. 1458 (pp. 012015). IOP Publishing. doi:10.1088/1742-6596/1458/1/012015
Unique growth mode observed in a Pb thin film on the 3-fold surface of an i-Ag-In-Yb quasicrystal
Coates, S., Thorn, S., McGrath, R., Sharma, H. R., & Tsai, A. P. (2020). Unique growth mode observed in a Pb thin film on the 3-fold surface of an i-Ag-In-Yb quasicrystal. Unknown Journal, 2204. doi:10.11316/jpsgaiyo.75.1.0_2204
2019
Quasicrystal systems with simple symmetries
Coates, S. (2019, January 11). Quasicrystal systems with simple symmetries.
Epitaxial growth on low symmetry quasicrystal surfaces
Coates, S., McGrath, R., Tsai, A. -P., & Sharma, H. R. (2019). Epitaxial growth on low symmetry quasicrystal surfaces. Unknown Journal, 1341. doi:10.11316/jpsgaiyo.74.2.0_1341
2018
Growth of a bismuth thin film on the five-fold surface of the icosahedral Ag-In-Yb quasicrystal
Hars, S. S., Sharma, H. R., Smerdon, J. A., Coates, S., Nozawa, K., Tsai, A. P., & McGrath, R. (2018). Growth of a bismuth thin film on the five-fold surface of the icosahedral Ag-In-Yb quasicrystal. SURFACE SCIENCE, 678, 222-227. doi:10.1016/j.susc.2018.04.023
A molecular overlayer with the Fibonacci square grid structure
Coates, S., Smerdon, J. A., McGrath, R., & Sharma, H. R. (2018). A molecular overlayer with the Fibonacci square grid structure. Nature Communications, 9. doi:10.1038/s41467-018-05950-7
Quasicrystalline overlayers with crystallographic orders of rotational symmetry
Coates, S., Thorn, S., Smerdon, J. A., McGrath, R., & Sharma, H. R. (2018). Quasicrystalline overlayers with crystallographic orders of rotational symmetry. In Aperiodic 2018 ("9th Conference on Aperiodic Crystals"). Iowa State University, Digital Press. doi:10.31274/aperiodic2018-180810-55
2017
Templated quasicrystalline thin film of molecules: recent extended study
Sharma, H. R., Coates, S., Smerdon, J., & McGrath, R. (2014). Templated quasicrystalline thin film of molecules: recent extended study. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 70 (pp. C1316). Retrieved from http://gateway.webofknowledge.com/
Templated quasicrystalline thin film of molecules: recent extended study
Sharma, H. R., Coates, S., Smerdon, J., & McGrath, R. (2017). Templated quasicrystalline thin film of molecules: recent extended study. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 73 (pp. C1316). doi:10.1107/S2053273317082596
Preparation dependent surface structure of NiAl(100)
Coates, S., Al-Mahboob, A., McGrath, R., & Sharma, H. R. (2017). Preparation dependent surface structure of NiAl(100). In 13TH INTERNATIONAL CONFERENCE ON QUASICRYSTALS (ICQ13) Vol. 809. doi:10.1088/1742-6596/809/1/012016