TY - JOUR
T1 - Light Localization in Local Isomorphism Classes of Quasicrystals
AU - Lin, Chaney
AU - Steinhardt, Paul J.
AU - Torquato, Salvatore
N1 - Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/6/14
Y1 - 2018/6/14
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.120.247401
DO - 10.1103/PhysRevLett.120.247401
M3 - Article
C2 - 29956953
AN - SCOPUS:85048564935
SN - 0031-9007
VL - 120
JO - Physical review letters
JF - Physical review letters
IS - 24
M1 - 247401
ER -