TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.6.153
TI  - Lack of near-sightedness principle in non-Hermitian systems
PY  - 2024/12/05
UR  - https://scipost.org/SciPostPhys.17.6.153
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 6
SP  - 153
A1  - Spring, Helene
AU  - Könye, Viktor
AU  - Akhmerov, Anton R.
AU  - Fulga, Ion Cosma
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.17.6.153,
	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={SciPost Phys.},
	volume={17},
	pages={153},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.6.153},
	url={https://scipost.org/10.21468/SciPostPhys.17.6.153},
}