de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Periodic overlayers and moiré patterns: theoretical studies of geometric properties

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons21623

Hermann,  Klaus
Inorganic Chemistry, Fritz Haber Institute, Max Planck Society;

Locator
There are no locators available
Fulltext (public)

ManuscriptRevAll_Hermann.pdf
(Any fulltext), 3MB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0010-1BCD-F
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 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.