Spin connection and boundary states in a topological insulator

  title={Spin connection and boundary states in a topological insulator},
  author={V.Parente and P.Lucignano and P.Vitale and A.Tagliacozzo and F.Guinea},
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… Expand
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