# Topological Origin of Non-Hermitian Skin Effects

“Topological Origin of Non-Hermitian Skin Effects” (2020), by Nobuyuki Ōkuma et al. Physics and Astronomy research paper. Original abstract below, unchanged. A free PDF is available.

- Authors: Nobuyuki Ōkuma, Kohei Kawabata, Ken Shiozaki, Masatoshi Sato
- Published: February 25, 2020
- Field: Physics and Astronomy
- DOI: https://doi.org/10.1103/physrevlett.124.086801
- Free PDF: https://arxiv.org/pdf/1910.02878

## Abstract

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non-Hermitian topology. Such a topological origin not merely explains the universal feature of the known skin effect, but also leads to new types of the skin effects-symmetry-protected skin effects. In particular, we discover the Z₂ skin effect protected by time-reversal symmetry. On the basis of topological classification, we also discuss possible other skin effects in arbitrary dimensions. Our work provides a unified understanding about the bulk-boundary correspondence and the skin effects in non-Hermitian systems.

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