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Light Localization in Local Isomorphism Classes of Quasicrystals

Author(s): Lin, Chaney; Steinhardt, Paul J.; Torquato, Salvatore

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Abstract: We study a continuum of photonic quasicrystal heterostructures derived from local isomorphism (LI) classes of pentagonal quasicrystal tilings. These tilings are obtained by direct projection from a five-dimensional hypercubic lattice. We demonstrate that, with the sole exception of the Penrose LI class, all other LI classes result in degenerate, effectively localized states, with precisely predictable and tunable properties (frequencies, frequency splittings, and densities). We show that localization and tunability are related to a mathematical property of the pattern known as “restorability,” i.e., whether the tiling can be uniquely specified given only a set of rules that fix all allowed clusters smaller than some bound.
Publication Date: 15-Jun-2018
Electronic Publication Date: 14-Jun-2018
Citation: Lin, Chaney, Steinhardt, Paul J, Torquato, Salvatore. (2018). Light Localization in Local Isomorphism Classes of Quasicrystals. PHYSICAL REVIEW LETTERS, 120, doi:10.1103/PhysRevLett.120.247401
DOI: doi:10.1103/PhysRevLett.120.247401
ISSN: 0031-9007
EISSN: 1079-7114
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW LETTERS
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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