Transport and STM studies of hyperbolic surface states of topological insulators

Abstract

Motivated by the transmission of topological surface states through atomic scale steps, we study the transport of gapless Dirac fermions on hyperbolic surfaces. We confirm that, independent of the curvature of the hyperbolae and the sharpness of the corners, no backward scattering takes place and transmission of the topological surface states is completely independent of the geometrical shape (within the hyperbolic model) of the surface. The density of states of the electrons, however, shows a dip at concave step edges which can be measured by an STM tip. We also show that the tunneling conductance measured by a polarized scanning tunneling probe exhibits an unconventional dependence on the polar and azimuthal angles of the magnetization of the tip as a function of the curvature of the surface and the sharpness of the edge.

7 pages, 7 figures

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Cited by in corpus (5)

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• Confining electrons on a topological insulator surface using potentials and a magnetic field
• Effective Hamiltonian for surface states of topological insulator nanotubes
• Spin-polarized tunneling into helical edge states: asymmetry and conductances
• Probing surface states exposed by crystal terminations at arbitrary orientations of three-dimensional topological insulators