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

IF 15.7 1区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Nature Communications Pub Date : 2024-10-23 DOI:10.1038/s41467-024-53434-8

Cui-Xian Guo, Luhong Su, Yongliang Wang, Li Li, Jinzhe Wang, Xinhui Ruan, Yanjing Du, Dongning Zheng, Shu Chen, Haiping Hu

{"title":"Scale-tailored localization and its observation in non-Hermitian electrical circuits","authors":"Cui-Xian Guo, Luhong Su, Yongliang Wang, Li Li, Jinzhe Wang, Xinhui Ruan, Yanjing Du, Dongning Zheng, Shu Chen, Haiping Hu","doi":"10.1038/s41467-024-53434-8","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":19066,"journal":{"name":"Nature Communications","volume":"10 1","pages":""},"PeriodicalIF":15.7000,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nature Communications","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1038/s41467-024-53434-8","RegionNum":1,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

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.

Abstract Image

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

非赫米提电路中的规模定制定位及其观测

安德森局域化和非赫米提趋肤效应是两种典型的波局域化现象，分别由波干涉和内在非赫米提点隙引起。在本研究中，我们揭示了一种与长程非对称耦合相关的新型局域化现象，即尺度裁剪局域化，其中诱导局域化模式的数量及其局域化长度完全随耦合范围而缩放。我们的研究表明，长程耦合通过在晶格上创建多条连接路径，从根本上重塑了能谱和特征状态。此外，我们还展示了在利用可调电压跟随器和开关的非赫米提电路中，对尺度定制局部化的实验观察。电路导纳谱在复能面上具有独立的点状和环状分量，分别对应于集肤模式和尺度尾随局部化状态。我们的发现不仅拓展和加深了对非恒定性诱发的特殊效应的理解，还为探索和控制波局部化提供了一个可行的实验平台。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Nature Communications Biological Science Disciplines-

CiteScore

24.90

自引率

2.40%

发文量

6928

审稿时长

3.7 months

期刊介绍： Nature Communications, an open-access journal, publishes high-quality research spanning all areas of the natural sciences. Papers featured in the journal showcase significant advances relevant to specialists in each respective field. With a 2-year impact factor of 16.6 (2022) and a median time of 8 days from submission to the first editorial decision, Nature Communications is committed to rapid dissemination of research findings. As a multidisciplinary journal, it welcomes contributions from biological, health, physical, chemical, Earth, social, mathematical, applied, and engineering sciences, aiming to highlight important breakthroughs within each domain.