Zero modes around vacancies in topological insulators and topological superconductors on the honeycomb lattice with particle-hole symmetry
Jing He, Ying-Xue Zhu, Ya-Jie Wu, Lan-Feng Liu, Ying Liang, Su-Peng Kou
DOI 10.1103/PhysRevB.87.075126 · Physical Review B
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Abstract
This paper studies the quantum properties of lattice vacancies in topological band insulators and topological superconductors (TSCs) on a honeycomb lattice with particle-hole symmetry. Each vacancy exhibits one “gauge-invariant” zero mode for the spinless Haldane model and two “gauge-invariant” zero modes for the Kane-Mele model. In addition, there exist Majorana zero modes around the vacancies in TSCs on honeycomb lattices with particle-hole symmetry. These zero-energy modes are protected by the particle-hole symmetry of these topological states.
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