Berlin 2012 – wissenschaftliches Programm

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O: Fachverband Oberflächenphysik

O 53: Graphene IV

O 53.1: Vortrag

Mittwoch, 28. März 2012, 16:45–17:00, MA 041

Rotated / Scaled Overlayers and Moiré Patterns: a theoretical approach — •Klaus Hermann — Abt. Theorie, Fritz-Haber-Institut, Berlin

Rotated and/or scaled overlayers at regular single crystal surfaces, such as graphene on Ru(0001) [1] or silver on Ni(100) substrate [2], are found to show long-range order expressed by approximate 2-dimensional surface periodicity with very large lattice constants. This phenomenon can be described geometrically analogous to interference effects resulting in periodic Moiré patterns which are characterized by 2-dimensional superlattices. Here we discuss in detail the mathematical formalism of determining such Moiré patterns based on concepts of coincidence lattices. The formalism provides simple relations that allow to calculate 2-dimensional Moiré lattices in their depencence on layer rotation angles α and and scaling factors p for general Bravais lattices.

[1] D. Martoccia, P.R. Willmott, T. Brugger, M. Björck, S. Günther, C.M. Schlepütz, A. Cervellino, S.A. Pauli, B.D. Patterson, S. Marchini, J. Wintterlin, W. Moritz, and T. Greber, Phys. Rev. Lett. 101 (2008) 126102.

[2] C. Chambon, J. Creuze, A. Coati, M. Sauvage-Simkin, and Y. Garreau, Phys. Rev. B 79 (2009) 125412.