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Scattering theory of topological insulators and superconductors

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Topological insulators and superconductors are characterized by an insulating bulk and protected edge states at the Fermi level. The number of these edge states is a topological invariant. Although the topological invariant is a Fermi level property, the existing Hamiltonian expressions for the invariant require knowledge of the full spectrum below the Fermi level. We have recently developed an alternative formulation, for which it is sufficient to know the scattering matrix of the system at the Fermi level. This scattering theory is on the one hand more efficient than the Hamiltonian approach, and on the other hand directly applies to transport properties of topological insulators.

This talk is part of the Irregular seminars in TCM series.

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