“…1 It has already been shown that oxides and nitrides, 2 graphene, 3 topological insulators, 4 and high-index dielectrics [5][6][7][8][9][10][11][12][13] can be used as platforms for the realization of high-Q resonant metamaterials. A variety of non-metallic media, such as graphene, 14 carbon nanotubes, 15 liquid crystals, 16 and semiconductors, 17,18 have also been engaged through hybridization with plasmonic metamaterials to create media with strongly enhanced optical nonlinearities, while a nano-optomechanical nonlinearity has recently been observed in a plasmonic metamaterial. 19 Here, we experimentally demonstrate an all-dielectric metamaterial, fabricated from a free-standing semiconductor nano-membrane, with sharp near-infrared optical resonances.…”