The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magneto-electronic spectra of systems with moire spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately formed at small twist angles, fractal butterfly spectra and associated magneto-transport and magneto-mechanical anomalies emerge at accessible magnetic field strengths.
@article{arxiv.1101.2606,
title = {Moire Butterflies},
author = {R. Bistritzer and A. H. MacDonald},
journal= {arXiv preprint arXiv:1101.2606},
year = {2015}
}