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Edge currents as a signature of flatbands in topological superconductors
Andreas P Schnyder1, Carsten Timm, P M R Brydon
1Max-Planck-Institut für Festkörperforschung, Stuttgart, Germany. a.schnyder@fkf.mpg.de
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.
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