Using Topological Insulator Proximity to Generate Perfectly Conducting Channels in Materials without Topological Protection

Abstract

We show that hybrid structures of topological insulators and materials without topological protection can be employed to create perfectly conducting channels hosted in the non-topological part. These states inherit the topological protection from the proximity of the topological insulator but are more fragile to time-reversal symmetry breaking because of their extended character. We explore their formation in the band structure of model hybrid systems as well as realistic heterostructures involving HgTe/CdTe-based two-dimensional topological insulators. Using numerical quantum transport calculations for the HgTe/CdTe material system we propose two experimental settings which allow for the detection of the induced perfectly conducting channels, both in the localized and diffusive regime, by means of magneto conductance and shot noise.

9 pages, 9 figures

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• Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measures
• Quantum information measures of the one-dimensional Robin quantum well