Multifaceted moiré superlattice physics in twisted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi>WSe</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:math> bilayers
S. J. Magorrian, V. V. Enaldiev, V. Zólyomi, F. Ferreira, V. I. Fal'ko, D. A. Ruiz-Tijerina
Abstract
Moir\'e superlattices in twisted van der Waals bilayers of WSe${}_{2}$ are determined by weak ferroelectric charge transfer in inversion-asymmetric structures, piezoelectricity, and interlayer hybridization. Here, the authors map out the properties of twisted WSe${}_{2}$ bilayers using an $a\phantom{\rule{0}{0ex}}b\phantom{\rule{0.333em}{0ex}}i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o$ $\mathbf{k}\ensuremath{\cdot}\mathbf{p}$ tight-binding multiscale modeling approach, taking into account the lack of inversion symmetry in the monolayer unit cell, and analyzing both parallel (P) and antiparallel (AP) interlayer orientations. They demonstrate that mesoscale Hubbard lattices with high spin-valley degeneracy, and highly anisotropic delocalized states, are accessible by the choice of twist angle and relevant valley.