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Self-healing of non-Hermitian topological skin modes

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arxiv 2203.13486 v1 pith:WUJDQTK7 submitted 2022-03-25 quant-ph cond-mat.str-elphysics.optics

Self-healing of non-Hermitian topological skin modes

classification quant-ph cond-mat.str-elphysics.optics
keywords skinmodesnon-hermitianblocheigenstatesself-healingsystemsability
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A unique feature of non-Hermitian (NH) systems is the NH skin effect, i.e. the edge localization of an extensive number of bulk-band eigenstates in a lattice with open or semi-infinite boundaries. Unlike extended Bloch waves in Hermitian systems, the skin modes are normalizable eigenstates of the Hamiltonian that originate from the intrinsic non-Hermitian point-gap topology of the Bloch band energy spectra. Here we unravel a fascinating property of NH skin modes, namely self-healing, i.e. the ability to self-reconstruct their shape after being scattered off by a space-time potential.

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