Gapless interface states between topological insulators with opposite Dirac velocities

Details Gapless interface states between topological insulators with opposite Dirac velocities Gapless interface states between topological insulators with opposite Dirac velocities

2011-05-26

arxiv.org/abs/1105.5209v2

Phys. Rev. Lett. 107, 166805 2011

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.107.166805

The Dirac cone on a surface of a topological insulator shows linear dispersion analogous to optics and its velocity depends on materials. We consider a junction of two topological insulators with different velocities, and calculate the reflectance and transmittance. We find that they reflect the backscattering-free nature of the helical surface states. When the two velocities have opposite signs, both transmission and reflection are prohibited for normal incidence, when a mirror symmetry normal to the junction is preserved. In this case we show that there necessarily exist gapless states at the interface between the two topological insulators. Their existence is protected by mirror symmetry, and they have characteristic dispersions depending on the symmetry of the system.

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