1210.0266 (Jing He et al.)

Particle-Hole Symmetry Protected Zero Modes on Vacancies in the
Topological Insulators and Topological Superconductors on the Honeycomb
Lattice    [PDF]

Jing He, Ying-Xue Zhu, Ya-Jie Wu, Lan-Feng Liu, Ying Liang, Su-Peng Kou

In this paper we study the quantum properties of the lattice vacancy in topological band insulators (TBIs) and topological superconductors (TSCs) on honeycomb lattice with particle-hole symmetry. Each vacancy has one zero mode for the Haldane model and two zero modes for the Kane-Mele model. In addition, in TSCs on honeycomb lattice with particle-hole symmetry, we found the existence of the Majorana zero modes around the vacancies. These zero energy modes are protected by particle-hole symmetry of these topological sates.

View original: http://arxiv.org/abs/1210.0266