Geodesic scattering by surface deformations of a topological insulator

Details Geodesic scattering by surface deformations of a topological insulator Geodesic scattering by surface deformations of a topological insulator

2010-07-08

arxiv.org/abs/1007.1439v1

Phys. Rev. B 82, 085312 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 5 figures

Scientific paper

10.1103/PhysRevB.82.085312

We consider the classical ballistic dynamics of massless electrons on the conducting surface of a three-dimensional topological insulator, influenced by random variations of the surface height. By solving the geodesic equation and the Boltzmann equation in the limit of shallow deformations, we obtain the scattering cross section and the conductivity {\sigma}, for arbitrary anisotropic dispersion relation. At large surface electron densities n this geodesic scattering mechanism (with {\sigma} propto sqrt{n}) is more effective at limiting the surface conductivity than electrostatic potential scattering.

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