Elastic properties of moiré lattices in epitaxial two-dimensional materials

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

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Unlike conventional two-dimensional (2D) semiconductor superlattices, moiré 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 MoS2 on metals and reveal that compression/expansion and bending energies stored in the membrane can compete with adhesion energy, leading to a subtle moiré wavelength selection and the formation of wrinkles.

Original languageEnglish
Article numberL201402
Number of pages7
JournalPhysical Review B
Issue number20
Publication statusPublished - 2022


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