Metallic-mean quasicrystals as aperiodic approximants of periodic crystals

Metallic-mean quasicrystals as aperiodic approximants of periodic crystals

Quasicrystals differ from traditional incommensurate structures because they have non-crystallographic rotational symmetries. Here the authors introduce a scheme to produce metallic-mean quasicrystals in two dimensions with 6-fold rotational symmetry that can be seen as approximant to periodic tilin...

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Main Authors: Joichiro Nakakura, Primož Ziherl, Junichi Matsuzawa, Tomonari Dotera
Format: Article
Language:English
Published: Nature Publishing Group 2019-09-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-019-12147-z
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spelling doaj-d833e1729a664fb5ba690513ef396cbb2021-05-11T11:26:13ZengNature Publishing GroupNature Communications2041-17232019-09-011011810.1038/s41467-019-12147-zMetallic-mean quasicrystals as aperiodic approximants of periodic crystalsJoichiro Nakakura0Primož Ziherl1Junichi Matsuzawa2Tomonari Dotera3Department of Physics, Kindai UniversityFaculty of Mathematics and Physics, University of LjubljanaDepartment of Mathematics, Nara Women’s UniversityDepartment of Physics, Kindai UniversityQuasicrystals differ from traditional incommensurate structures because they have non-crystallographic rotational symmetries. Here the authors introduce a scheme to produce metallic-mean quasicrystals in two dimensions with 6-fold rotational symmetry that can be seen as approximant to periodic tilings.https://doi.org/10.1038/s41467-019-12147-z
collection DOAJ
language English
format Article
sources DOAJ
author Joichiro Nakakura
Primož Ziherl
Junichi Matsuzawa
Tomonari Dotera
spellingShingle Joichiro Nakakura
Primož Ziherl
Junichi Matsuzawa
Tomonari Dotera
Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
Nature Communications
author_facet Joichiro Nakakura
Primož Ziherl
Junichi Matsuzawa
Tomonari Dotera
author_sort Joichiro Nakakura
title Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
title_short Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
title_full Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
title_fullStr Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
title_full_unstemmed Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
title_sort metallic-mean quasicrystals as aperiodic approximants of periodic crystals
publisher Nature Publishing Group
series Nature Communications
issn 2041-1723
publishDate 2019-09-01
description Quasicrystals differ from traditional incommensurate structures because they have non-crystallographic rotational symmetries. Here the authors introduce a scheme to produce metallic-mean quasicrystals in two dimensions with 6-fold rotational symmetry that can be seen as approximant to periodic tilings.
url https://doi.org/10.1038/s41467-019-12147-z
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AT primozziherl metallicmeanquasicrystalsasaperiodicapproximantsofperiodiccrystals
AT junichimatsuzawa metallicmeanquasicrystalsasaperiodicapproximantsofperiodiccrystals
AT tomonaridotera metallicmeanquasicrystalsasaperiodicapproximantsofperiodiccrystals
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