Elastic properties of moiré lattices in epitaxial two-dimensional materials
Alexandre Artaud (Université Grenoble Alpes, Kavli institute of nanoscience Delft, TU Delft - Applied Sciences)
Nicolas Rougemaille (Université Grenoble Alpes)
Sergio Vlaic (PSL Research University)
Vincent T. Renard
Nicolae Atodiresei (Forschungszentrum Jülich)
Johann Coraux (Université Grenoble Alpes)
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Abstract
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.