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  Periodic overlayers and moiré patterns: theoretical studies of geometric properties

Hermann, K. (2012). Periodic overlayers and moiré patterns: theoretical studies of geometric properties. Journal of Physics: Condensed Matter, 24(31): 314210. doi:10.1088/0953-8984/24/31/314210.

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 Urheber:
Hermann, Klaus1, Autor           
Affiliations:
1Inorganic Chemistry, Fritz Haber Institute, Max Planck Society, ou_24023              

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 Zusammenfassung: Single crystal surfaces with periodic overlayers, such as graphene on hexagonal metal substrates, are found to exhibit, apart from their intrinsic periodicity, additional long-range order expressed by approximate surface lattices with large lattice constants. This phenomenon can be described as geometrically analogous to lateral interference effects resulting in periodic moiré patterns which are characterized by two-dimensional moiré lattices. Here we discuss in detail the mathematical formalism determining such moiré patterns based on concepts of two-dimensional Fourier transformation including coincidence lattices. The formalism provides simple relations that allow one to calculate possible moiré lattice vectors in their dependence on rotation angles α and scaling factors p1,p2 for periodic (p1 × p2)Rα overlayers on substrate surfaces described by general Bravais lattices. Specific emphasis will be given to hexagonal lattices where experimental data are available.

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Sprache(n): eng - English
 Datum: 2012-07-202012-08-08
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: DOI: 10.1088/0953-8984/24/31/314210
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Titel: Journal of Physics: Condensed Matter
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: London : IOP Pub.
Seiten: 13 Band / Heft: 24 (31) Artikelnummer: 314210 Start- / Endseite: - Identifikator: ISSN: 0953-8984
CoNE: https://pure.mpg.de/cone/journals/resource/954928562478