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 wave localization phenomenon called scale-tailored localization (STL), which arises from long-range asymmetric coupling in non-Hermitian electrical circuits. Unlike traditional localization mechanisms such as Anderson localization and the non-Hermitian skin effect (NHSE), STL is characterized by the number and localization length of eigenstates scaling exclusively with the coupling range. The researchers experimentally observe STL in non-Hermitian electrical circuits using adjustable voltage followers and switches, demonstrating that the energy spectra and eigenstates are partitioned into two distinct sectors: point-shaped and loop-shaped components. The loop-shaped components correspond to scale-tailored localized states, while the point-shaped components correspond to skin modes. The study shows that STL can be tailored by adjusting the coupling range, and the localization length scales with the coupling range rather than the system size. The findings expand the understanding of non-Hermitian effects and provide a feasible platform for exploring and controlling wave localizations. The research also highlights the non-perturbative nature of non-Hermitian couplings and their ability to reshape energy spectra and eigenstates. The study demonstrates that STL can be observed in various lattice models, including 1D, 2D, and interacting systems, and provides a general framework for understanding the mechanism and generality of STL. The results have implications for the manipulation of wave phenomena in various open systems and experimental platforms, including photonic, ultracold atoms, and metamaterials.This study introduces a novel wave localization phenomenon called scale-tailored localization (STL), which arises from long-range asymmetric coupling in non-Hermitian electrical circuits. Unlike traditional localization mechanisms such as Anderson localization and the non-Hermitian skin effect (NHSE), STL is characterized by the number and localization length of eigenstates scaling exclusively with the coupling range. The researchers experimentally observe STL in non-Hermitian electrical circuits using adjustable voltage followers and switches, demonstrating that the energy spectra and eigenstates are partitioned into two distinct sectors: point-shaped and loop-shaped components. The loop-shaped components correspond to scale-tailored localized states, while the point-shaped components correspond to skin modes. The study shows that STL can be tailored by adjusting the coupling range, and the localization length scales with the coupling range rather than the system size. The findings expand the understanding of non-Hermitian effects and provide a feasible platform for exploring and controlling wave localizations. The research also highlights the non-perturbative nature of non-Hermitian couplings and their ability to reshape energy spectra and eigenstates. The study demonstrates that STL can be observed in various lattice models, including 1D, 2D, and interacting systems, and provides a general framework for understanding the mechanism and generality of STL. The results have implications for the manipulation of wave phenomena in various open systems and experimental platforms, including photonic, ultracold atoms, and metamaterials.