Topological non-Hermitian skin effect

• Published in: Frontiers of physics Vol. 18; no. 5; p. 53605
• Main Authors: Lin, Rijia, Tai, Tommy, Li, Linhu, Lee, Ching Hua
• Format: Journal Article
• Language: English
• Published: Beijing Higher Education Press 01.10.2023; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Atomic; Boundary conditions; Condensed Matter Physics; Crystal lattices; Many body problem; Molecular; non-Hermitian skin effect; Optical and Plasma Physics; Particle and Nuclear Physics; Phase transitions; Photonics; Physics; Physics and Astronomy; Proposals; Review Article; Skin; Skin effect; Symmetry; topological phases; Topology; topological phases; non-Hermitian skin effect
• ISSN: 2095-0462; 2095-0470
• DOI: 10.1007/s11467-023-1309-z

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.