Z2 invariant protected bound states in topological insulators

Details Z2 invariant protected bound states in topological insulators Z2 invariant protected bound states in topological insulators

2010-10-04

arxiv.org/abs/1010.0503v2

Phys. Rev. B 84, 035307 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures, Fig. 3 is replaced

Scientific paper

10.1103/PhysRevB.84.035307

We present an exact solution of a modifed Dirac equation for topological insulator in the presence of a hole or vacancy to demonstrate that vacancies may induce bound states in the band gap of topological insulators. They arise due to the Z_2 classification of time-reversal invariant insulators, thus are also topologically-protected like the edge states in the quantum spin Hall effect and the surface states in three-dimensional topological insulators. Coexistence of the in-gap bound states and the edge or surface states in topological insulators suggests that imperfections may affect transport properties of topological insulators via additional bound states near the system boundary.

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