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arXiv · 2211.02482

Elastic properties of moir\'e lattices in epitaxial two-dimensional materials

Alexandre Artaud·Nicolas Rougemaille·Sergio Vlaic·Vincent T. Renard·Nicolae Atodiresei·Johann Coraux
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Abstract

Unlike conventional two-dimensional (2D) semiconductor superlattices, moir\'{e} patterns in 2D materials are flexible and their electronic, magnetic, optical, and mechanical properties depend on their topography. Within a continuous+atomistic theory treating 2D materials as crystalline elastic membranes, we abandon the flat-membrane scenario usually assumed for these materials and address out-of-plane deformations. We confront our predictions to experimental analyses on model systems, epitaxial graphene, and MoS$_2$ on metals and reveal that compression/expansion and bending energies stored in the membrane can compete with adhesion energy, leading to a subtle moir\'{e} wavelength selection and the formation of wrinkles.

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Alexandre Artaud, Nicolas Rougemaille, Sergio Vlaic, Vincent T. Renard, Nicolae Atodiresei, Johann Coraux. 2022-11-04. Elastic properties of moir\'e lattices in epitaxial two-dimensional materials. https://doi.org/10.1103/physrevb.106.l201402

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