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arXiv · 2410.18339

Scale-tailored localization and its observation in non-Hermitian electrical circuits

Cui-Xian Guo·Luhong Su·Yongliang Wang·Li Li·Jinzhe Wang·Xinhui Ruan·Yanjing Du·Dongning Zheng·Shu Chen·Haiping Hu
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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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Cui-Xian Guo, Luhong Su, Yongliang Wang, Li Li, Jinzhe Wang, Xinhui Ruan, Yanjing Du, Dongning Zheng, Shu Chen, Haiping Hu. 2024-10-24. Scale-tailored localization and its observation in non-Hermitian electrical circuits. https://doi.org/10.1038/s41467-024-53434-8

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