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 is not a topological phenomenon in general: 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. This may occur even for a fully Hermitian bulk.
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