ArticleNature communications2024
Scale-tailored localization and its observation in non-Hermitian electrical circuits.
Article in Nature communications, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Green's Functions of Non-Hermitian Systems at Exceptional Deficiency.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Gap-tuned exceptional skin effect in non-Hermitian flat bands.Nature communications · 2026Article
- Non-Hermitian dynamics in quantum anomalous Hall insulators.Science advances · 2026Article
- Beyond the Non-Hermitian Skin Effect: Scaling-Controlled Topology from Exceptional-Bound Bands.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Hysteretic self-oscillatory acoustic radiation with tunable orbital angular momentum.Science advances · 2026Article
- Non-Hermitian impurity problem.Communications physics · 2026Article
- Loss induced delocalization of topological boundary modes.Nature communications · 2025Article
- Phase-Space Generalized Brillouin Zone For Spatially Inhomogeneous Non-Hermitian Systems.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
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Authors and funding
10 authors.
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Abstract
Anderson localization and non-Hermitian skin effect are two paradigmatic wave localization phenomena, resulting from wave interference and the intrinsic non-Hermitian point gap, respectively. In this study, we unveil a novel localization phenomenon associated with long-range asymmetric coupling, termed scale-tailored localization, where the number of induced localized modes and their localization lengths scale exclusively with the coupling range. We show that the long-range coupling fundamentally reshapes the energy spectra and eigenstates by creating multiple connected paths on the lattice. Furthermore, we present experimental observations of scale-tailored localization in non-Hermitian electrical circuits utilizing adjustable voltage followers and switches. The circuit admittance spectra possess separate point-shaped and loop-shaped components in the complex energy plane, corresponding respectively to skin modes and scale-tailored localized states. Our findings not only expand and deepen the understanding of peculiar effects induced by non-Hermiticity but also offer a feasible experimental platform for exploring and controlling wave localizations.
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