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Philosophical Magazine Volume 86, 2006 - Issue 6-8: Proceedings of the 9th International Conference on Quasicrystals, 22–26 May 2005, Part 2 Guest Editors: Cynthia J. Jenks, Daniel J. Sordelet and Patricia Thiel
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Original Articles

Electronic energy spectra and wave functions on the square Fibonacci tiling

S. Even-Dar Mandel School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
&
R. Lifshitz School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, IsraelCorrespondence[email protected]
Pages 759-764 | Received 15 May 2005, Accepted 19 Jul 2005, Published online: 19 Aug 2006

Citations (11)

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Read on this site (4)

Ron Lifshitz & Shahar Even-Dar Mandel. (2011) Observation of log-periodic oscillations in the quantum dynamics of electrons on the one-dimensional Fibonacci quasicrystal. Philosophical Magazine 91:19-21, pages 2792-2800.
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D. Mayou. (2008) Discussion of electronic properties of quasicrystals. Philosophical Magazine 88:13-15, pages 2209-2215.
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S. Even-Dar Mandel & R. Lifshitz. (2008) Electronic energy spectra of square and cubic Fibonacci quasicrystals. Philosophical Magazine 88:13-15, pages 2261-2273.
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L. Moretti & V. Mocella. (2008) The square Thue–Morse tiling for photonic application. Philosophical Magazine 88:13-15, pages 2275-2284.
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Articles from other publishers (7)

Jeong-Yup Lee. (2023) Equivalence between pure point diffractive sets and cut-and-project sets on substitution tilings. Journal of Physics: Conference Series 2461:1, pages 012013.
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Omri Lesser & Ron Lifshitz. (2022) Emergence of quasiperiodic Bloch wave functions in quasicrystals. Physical Review Research 4:1.
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Sam Coates, Joseph A. Smerdon, Ronan McGrath & Hem Raj Sharma. (2018) A molecular overlayer with the Fibonacci square grid structure. Nature Communications 9:1.
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David Damanik, Anton Gorodetski & William Yessen. (2016) The Fibonacci Hamiltonian. Inventiones mathematicae 206:3, pages 629-692.
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David Damanik, Anton Gorodetski & Boris Solomyak. (2015) Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Duke Mathematical Journal 164:8.
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David Damanik & Anton Gorodetski. (2011) Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci Hamiltonian. Communications in Mathematical Physics 305:1, pages 221-277.
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D. Braak. (2007) Conductivity of a quasiperiodic system in two and three dimensions. Physical Review B 75:8.
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