Topological Non-Hermitian skin effect

• URL: http://arxiv.org/abs/2302.03057v3
• Date: Sun, 14 Apr 2024 13:59:02 GMT
• Title: Topological Non-Hermitian skin effect
• Authors: Rijia Lin, Tommy Tai, Mengjie Yang, Linhu Li, Ching Hua Lee,
• Abstract summary: The article reviews recent developments in the non-Hermitian skin effect (NHSE), particularly on its rich interplay with topology. Emerging topics are introduced such as non-Hermitian criticality, dynamical NHSE phenomena, and the manifestation of NHSE beyond the traditional linear non-interacting crystal lattices.
• Score: 1.8967538025776645
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This article reviews recent developments in the non-Hermitian skin effect (NHSE), particularly on its rich interplay with topology. The review starts off with a pedagogical introduction on the modified bulk-boundary correspondence, the synergy and hybridization of NHSE and band topology in higher dimensions, as well as, the associated topology on the complex energy plane such as spectral winding topology and spectral graph topology. Following which, emerging topics are introduced such as non-Hermitian criticality, dynamical NHSE phenomena, and the manifestation of NHSE beyond the traditional linear non-interacting crystal lattices, particularly its interplay with quantum many-body interactions. Finally, we survey the recent demonstrations and experimental proposals of NHSE.

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