A brief review of hybrid skin-topological effect

• URL: http://arxiv.org/abs/2311.06637v1
• Date: Wed, 13 Sep 2023 02:24:34 GMT
• Title: A brief review of hybrid skin-topological effect
• Authors: Weiwei Zhu, Linhu Li
• Abstract summary: The finding of non-Hermitian skin effect has revolutionized our understanding of non-Hermitian topological phases. Hybrid skin-topological effect (HSTE) is a class of newly discovered non-Hermitian topological states.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The finding of non-Hermitian skin effect has revolutionized our understanding of non-Hermitian topological phases, where the usual bulk-boundary correspondence is broken and new topological phases specific to non-Hermitian system are uncovered. Hybrid skin-topological effect (HSTE) is a class of newly discovered non-Hermitian topological states that simultaneously supports skin-localized topological edge states and extended bulk states. Here we provide a brief review of HSTE, starting from different mechanics that have been used to realize HSTE, including non-reciprocal couplings, onsite gain/loss, and non-Euclidean lattice geometries. We also review some theoretical developments closely related to the HSTE, including the concept of higher-order non-Hermitian skin effect, parity-time symmetry engineering, and non-Hermitian chiral skin effect. Finally, we summarize recent experimental exploration of HSTE, including its realization in electric circuits systems, non-Hermitian photonic crystals, and active matter systems. We hope this review can make the concept of hybrid-skin effect clearer and inspire new finding of non-Hermitian topological states in higher dimensional systems.

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