Kavli Affiliate: Anton R. Akhmerov
| First 5 Authors: Helene Spring, Viktor Könye, Anton R. Akhmerov, Ion Cosma Fulga,
| Summary:
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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