Weak topological insulator with protected gapless helical states

Details Weak topological insulator with protected gapless helical states Weak topological insulator with protected gapless helical states

2011-03-08

arxiv.org/abs/1103.1430v2

Phys. Rev. B 84, 035443 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 17 figures

Scientific paper

10.1103/PhysRevB.84.035443

A workable model for describing dislocation lines introduced into a three-dimensional topological insulator is proposed. We show how fragile surface Dirac cones of a weak topological insulator evolve into protected gapless helical modes confined to the vicinity of dislocation line. It is demonstrated that surface Dirac cones of a topological insulator (either strong or weak) acquire a finite-size energy gap, when the surface is deformed into a cylinder penetrating the otherwise surface-less system. We show that when a dislocation with a non-trivial Burgers vector is introduced, the finite-size energy gap play the role of stabilizing the one-dimensional gapless states.

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