English

3D to 2D localization in supertwisted multilayers

Mesoscale and Nanoscale Physics 2026-03-16 v1

Abstract

We study the electronic properties of multilayer "spirals" of two-dimensional materials with continuously increasing twist angle. The electronic states are shown to undergo a universal 3D-to-2D transition on increasing the in-plane momentum k{\bf k}_\parallel away from the Γ\Gamma point. The states with k>kck_\parallel>k_c are localized along the z axis due to mismatch between electronic dispersions of the twisted layers, whereas those with k<kck_\parallel<k_c are extended. We support our results by mapping of the system on the Aubry-Andr\'e model and deduce the experimental signatures of 3D to 2D localization in transport experiments.

Keywords

Cite

@article{arxiv.2603.12329,
  title  = {3D to 2D localization in supertwisted multilayers},
  author = {Jeane Siriviboon and Pavel Volkov},
  journal= {arXiv preprint arXiv:2603.12329},
  year   = {2026}
}
R2 v1 2026-07-01T11:17:26.048Z