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DS: Fachverband Dünne Schichten

DS 20: Topological Insulators: Status Quo and Future Directions
(Joint session of DS, O and TT, organized by DS)

DS 20.1: Vortrag

Dienstag, 8. März 2016, 12:30–12:45, H8

Topological invariants in the embedding-potential — Hiroshi Ishida² and •Daniel Wortmann¹ — ¹Peter Grünberg Institut, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany — ²College of Humanities and Sciences, Nihon University, Tokyo, Japan

The embedding potential[1] defined at the boundary of a semi-infinite crystal defines the boundary condition for the wavefunction and can be interpreted as its logarithmic derivative. We demonstrate how this embedding potential can be utilized to determine the Z₂ topological invariant in time-reversal invariant insulators and how the formation of the surface states can be understood in terms of properties of the embedding potential.

Besides the general ideas and the theory, numerical examples for simple topological insulators and trivial materials will be shown and compared.

[1] J.E.Inglesfield, J. Phys. C 14, 3795 (1981)