English

Topological linelike bound states in the continuum

Mesoscale and Nanoscale Physics 2019-02-20 v2

Abstract

Bound states in the continuum (BIC) have been studied mainly in optics. Recently, electronic BIC have been proposed. They appear as points in the momentum space and are protected topologically by the Chern number. In this study, we propose a type of BIC protected by the winding number, which is one of the topological invariants. These BIC appear as lines in the momentum space, and are realized in a multilayer model consisting of honeycomb-lattice layers. We show band structure and spatial localization of the BIC in this model. The wave numbers at which the BIC appear can be explained in terms of topology in the momentum space.

Keywords

Cite

@article{arxiv.1810.08154,
  title  = {Topological linelike bound states in the continuum},
  author = {Manabu Takeichi and Shuichi Murakami},
  journal= {arXiv preprint arXiv:1810.08154},
  year   = {2019}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-23T04:44:50.901Z