Scale-tailored localization and its observation in non-Hermitian electrical circuits
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.
Cite
@article{arxiv.2410.18339,
title = {Scale-tailored localization and its observation in non-Hermitian electrical circuits},
author = {Cui-Xian Guo and Luhong Su and Yongliang Wang and Li Li and Jinzhe Wang and Xinhui Ruan and Yanjing Du and Dongning Zheng and Shu Chen and Haiping Hu},
journal= {arXiv preprint arXiv:2410.18339},
year = {2024}
}
Comments
10+16 pages, 5+11 figures