Using a tight-binding description, we show how the zero-dimensional state bound to the edge of a single one-dimensional helical chain of tellurium atoms evolves into two-dimensional states on the c-axis surface of the three-dimensional trigonal bulk. We give an effective Hamiltonian description of its dispersion in k-space by exploiting confinement to a virtual bilayer, and elaborate on the diminished role of spin-orbit coupling. These previously-unidentified intrinsic gap-penetrating surface bands were neglected in the interpretation of seminal experiments, where two-dimensional transport was otherwise attributed to extrinsic accumulation layers.
@article{arxiv.1708.07099,
title = {Intrinsic two-dimensional state on the pristine surface of tellurium},
author = {Pengke Li and Ian Appelbaum},
journal= {arXiv preprint arXiv:1708.07099},
year = {2018}
}