In this report we give a brief introduction on the occurrence of topologically protected one-dimensional electronic states in group IV two-dimensional graphene-like materials. We discuss the effect of spin-orbit coupling on the electronic band structure and show that these materials are potential candidates to exhibit the quantum spin Hall effect. The quantum spin Hall effect is characterized by a gapped interior and metallic counter-propagating spin-polarized topologically protected edges states. We also elaborate on the electric-field induced formation of a hexagonal network of one-dimensional topologically protected electronic states in small-angle twisted bilayer graphene.
@article{arxiv.2109.03071,
title = {Topologically protected one-dimensional electronic states in group IV two-dimensional Dirac materials},
author = {H. J. W. Zandvliet and J. D. Verbakel and Q. Yao and K. Sotthewes and P. Bampoulis},
journal= {arXiv preprint arXiv:2109.03071},
year = {2023}
}
Comments
These are lecture notes meant for undergraduate and graduate physics students. This manuscript will not be submitted for publication. Pages: 21. Figures: 15