Edge Currents as a Signature of Flatbands in Topological Superconductors

Schnyder, A. P.; Timm, C.; Brydon, P. M. R.

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Edge Currents as a Signature of Flatbands in Topological Superconductors

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Schnyder, A. P.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Brydon, P. M. R.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Schnyder, A. P., Timm, C., & Brydon, P. M. R. (2013). Edge Currents as a Signature of Flatbands in Topological Superconductors. Physical Review Letters, 111(7): 077001.

Cite as: https://hdl.handle.net/21.11116/0000-000E-C6DF-8

Abstract

We study nondegenerate flatbands at the surfaces of noncentrosymmetric topological superconductors by exact diagonalization of Bogoliubov-de Gennes Hamiltonians. We show that these states are strongly spin polarized and acquire a chiral dispersion when placed in contact with a ferromagnetic insulator. This chiral mode carries a large edge current which displays a singular dependence on the exchange-field strength. The contribution of other edge states to the current is comparably weak. We hence propose that the observation of the edge current can serve as a test of the presence of nondegenerate flatbands.