Lack of near-sightedness principle in non-Hermitian systems
Mesoscale and Nanoscale Physics
2025-09-24 v3 Quantum Physics
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.
Keywords
Cite
@article{arxiv.2308.00776,
title = {Lack of near-sightedness principle in non-Hermitian systems},
author = {Helene Spring and Viktor Könye and Anton R. Akhmerov and Ion Cosma Fulga},
journal= {arXiv preprint arXiv:2308.00776},
year = {2025}
}