We demonstrate that one-dimensional moir\'e patterns, analogous to those found in twisted bilayer graphene, can arise in collapsed chiral carbon nanotubes. Resorting to a combination of approaches, namely, molecular dynamics to obtain the relaxed geometries and tight-binding calculations validated against ab initio modeling, we find that magic angle physics occur in collapsed carbon nanotubes. Velocity reduction, flat bands and localization in AA regions with diminishing moir\'e angle are revealed, showing a magic angle close to 1o. From the spatial extension of the AA regions and the width of the flat bands, we estimate that many-body interactions in these systems are stronger than in twisted bilayer graphene. Chiral collapsed carbon nanotubes stand out as promising candidates to explore many-body effects and superconductivity in low dimensions, emerging as the one-dimensional analogues of twisted bilayer graphene.
@article{arxiv.2007.15558,
title = {One-dimensional moir\'e superlattices and flat bands in collapsed chiral carbon nanotubes},
author = {Olga Arroyo-Gascón and Ricardo Fernández-Perea and Eric Suárez Morell and Carlos Cabrillo and Leonor Chico},
journal= {arXiv preprint arXiv:2007.15558},
year = {2021}
}