Spin connection and boundary states in a topological insulator

Details Spin connection and boundary states in a topological insulator Spin connection and boundary states in a topological insulator

2010-11-02

arxiv.org/abs/1011.0565v1

Phys.Rev.B83:075424,2011

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 4 figures, submitted

Scientific paper

10.1103/PhysRevB.83.075424

We study the surface resistivity of a three-dimensional topological insulator when the boundaries exhibit a non trivial curvature. We obtain an analytical solution for a spherical topological insulator, and we show that a non trivial quantum spin connection emerges from the three dimensional band structure. We analyze the effect of the spin connection on the scattering by a bump on a flat surface. Quantum effects induced by the geometry lead to resonances when the electron wavelength is comparable to the size of the bump.

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