Self-healing of non-Hermitian topological skin modes

Abstract

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.

7 pages, 4 figures, to appear in Phys. Rev. Lett

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Cited by in corpus (16)

• Non-Hermitian Topology and Exceptional-Point Geometries
• Transient non-Hermitian skin effect
• Non-Hermitian Many-Body Localization with Open Boundaries
• Non-Hermitian skin effect and self-acceleration
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Photonic Lattices: tutorial
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Dimensional transmutation from non-Hermiticity
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Non-Hermitian boundary spectral winding
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Selective and tunable excitation of topological non-Hermitian skin modes
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Topological directed amplification