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

Autor: Artaud, Alexandre, Rougemaille, Nicolas, Vlaic, Sergio, Renard, Vincent T., Atodiresei, Nicolae, Coraux, Johann
Rok vydání: 2022
Předmět:
Zdroj: Physical Review B, 106, L201402 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.106.L201402
Popis: 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.
Comment: 7 pages, 3 figures
Databáze: arXiv