Lack of near-sightedness principle in non-Hermitian systems
Hélène Spring (TU Delft - QN/Akhmerov Group, Kavli institute of nanoscience Delft)
Viktor Könye (IFW Dresden, Würzburg-Dresden Cluster of Excellence ct.qmat)
Anton Akhmerov (Kavli institute of nanoscience Delft, TU Delft - QN/Akhmerov Group)
Ion Cosma Fulga (Würzburg-Dresden Cluster of Excellence ct.qmat, IFW Dresden)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
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.
help_outline