Kavli Affiliate: Anton R. Akhmerov
| First 5 Authors: R. Johanna Zijderveld, Isidora Araya Day, Anton R. Akhmerov, ,
| Summary:
The surface states of intrinsic higher order topological phases are protected
by the spatial symmetries of a finite sample. This property makes the existing
scattering theory of topological invariants inapplicable because the scattering
geometry is either incompatible with the symmetry or does not probe the bulk
topology. We resolve this obstacle by using a symmetric scattering geometry
that probes transport from the inside to the outside of the sample. We
demonstrate that the intrinsic higher order topology is captured by the flux
dependence of the reflection matrix. Our finding follows from identifying the
spectral flow of a flux line as a signature of higher order topology. We show
how this scattering approach applies to several examples of higher order
topological insulators and superconductors. Our theory provides an alternative
approach for proving bulk–edge correspondence in intrinsic higher order
topological phases, especially in presence of disorder.
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