NDLI: Periodic overlayers and moiré patterns: theoretical studies of geometric properties.

Content Provider	World Health Organization (WHO)-Global Index Medicus
Author	Hermann, Klaus
Description	Country affiliation: Germany Author Affiliation: Hermann K ( Fritz-Haber-Institut der Max-Planck-Gesellschaft, Berlin, Germany. hermann@fhi-berlin.mpg.de)
Abstract	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 and scaling factors p1,p2 for periodic (p1 × p2)R overlayers on substrate surfaces described by general Bravais lattices. Specific emphasis will be given to hexagonal lattices where experimental data are available.
ISSN	09538984
e-ISSN	1361648X
Journal	Journal of Physics: Condensed Matter
Issue Number	31
Volume Number	24
Language	English
Publisher	IOP Publishing
Publisher Date	2012-08-08
Publisher Place	Great Britain (UK)
Access Restriction	Open
Subject Keyword	Discipline Condensed Matter Physics
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Materials Science

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