24 Oct 2024 | Cui-Xian Guo, Luhong Su, Yongliang Wang, Li Li, Jinzhe Wang, Xinhui Ruan, Yanjing Du, Dongning Zheng, Shu Chen, Haiping Hu
This study introduces a novel localization phenomenon called scale-tailored localization (STL) in non-Hermitian electrical circuits. STL arises from long-range asymmetric coupling, where the number and localization length of induced localized modes scale exclusively with the coupling range. Unlike Anderson localization and the non-Hermitian skin effect, STL reshapes the energy spectra and eigenstates by creating multiple connected paths on the lattice. The authors demonstrate experimental observations of STL using adjustable voltage followers and switches in non-Hermitian electrical circuits. The circuit admittance spectra exhibit separate point-shaped and loop-shaped components in the complex energy plane, corresponding to skin modes and scale-tailored localized states. This work not only deepens the understanding of non-Hermitian physics but also provides a practical platform for exploring and controlling wave localizations.This study introduces a novel localization phenomenon called scale-tailored localization (STL) in non-Hermitian electrical circuits. STL arises from long-range asymmetric coupling, where the number and localization length of induced localized modes scale exclusively with the coupling range. Unlike Anderson localization and the non-Hermitian skin effect, STL reshapes the energy spectra and eigenstates by creating multiple connected paths on the lattice. The authors demonstrate experimental observations of STL using adjustable voltage followers and switches in non-Hermitian electrical circuits. The circuit admittance spectra exhibit separate point-shaped and loop-shaped components in the complex energy plane, corresponding to skin modes and scale-tailored localized states. This work not only deepens the understanding of non-Hermitian physics but also provides a practical platform for exploring and controlling wave localizations.