Lack of near-sightedness principle in non-Hermitian systems

• URL: http://arxiv.org/abs/2308.00776v3
• Date: Thu, 05 Dec 2024 13:59:22 GMT
• Title: Lack of near-sightedness principle in non-Hermitian systems
• Authors: Helene Spring, Viktor Könye, Anton R. Akhmerov, Ion Cosma Fulga,
• Abstract summary: We show that the non-Hermitian skin effect has weaker bulk-edge correspondence than topological insulators. A single non-Hermitian impurity may deplete the states from a region of Hermitian bulk.
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• Abstract: The non-Hermitian skin effect is a phenomenon in which an extensive number of states accumulates at the boundaries of a system. It has been associated to nontrivial topology, with nonzero bulk invariants predicting its appearance and its position in real space. Here, we demonstrate that the non-Hermitian skin effect has weaker bulk-edge correspondence than topological insulators: when translation symmetry is broken by a single non-Hermitian impurity, skin modes are depleted at the boundary and accumulate at the impurity site, without changing any bulk invariant. Similarly, a single non-Hermitian impurity may deplete the states from a region of Hermitian bulk.

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