Volume 131, Number 3, August 2020
|Number of page(s)||6|
|Published online||01 September 2020|
Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator
Institut für Physik, Universität Greifswald - Felix-Hausdorff-Str. 6, 17489 Greifswald, Germany
Received: 24 March 2020
Accepted: 24 July 2020
In two-dimensional anomalous Floquet insulators, non-Hermitian boundary state engineering can be used to completely separate chiral boundary states from bulk bands in the quasienergy spectrum. The topological properties of such spectrally separated boundary states are no longer restricted by the strict bulk-boundary correspondence of Hermitian systems. We show that this additional topological freedom enables one to faithfully transfer the topological properties of a boundary attached to a Floquet insulator to a non-Hermitian Floquet chain obtained by physically cutting off the boundary from the bulk. We implement this scenario for a simple model of an anomalous Floquet insulator with Hermitian and non-Hermitian boundaries, and discuss the relevance of our construction for the experimental realization of non-Hermitian topological phases that connect dimensions one and two.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 73.20.-r – Electron states at surfaces and interfaces / 05.60.Gg – Quantum transport
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