Severity: Warning
Message: file_get_contents(https://...@gmail.com&api_key=61f08fa0b96a73de8c900d749fcb997acc09&a=1): Failed to open stream: HTTP request failed! HTTP/1.1 429 Too Many Requests
Filename: helpers/my_audit_helper.php
Line Number: 197
Backtrace:
File: /var/www/html/application/helpers/my_audit_helper.php
Line: 197
Function: file_get_contents
File: /var/www/html/application/helpers/my_audit_helper.php
Line: 271
Function: simplexml_load_file_from_url
File: /var/www/html/application/helpers/my_audit_helper.php
Line: 3165
Function: getPubMedXML
File: /var/www/html/application/controllers/Detail.php
Line: 597
Function: pubMedSearch_Global
File: /var/www/html/application/controllers/Detail.php
Line: 511
Function: pubMedGetRelatedKeyword
File: /var/www/html/index.php
Line: 317
Function: require_once
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Non-Hermitian skin effect (NHSE), where eigenstates localize at the boundary of non-Hermitian lattices, has gained significant attention in various fields. This phenomenon, driven by the point-gap topology of complex energy bands, occurs even without special symmetries. Nevertheless, additional symmetry may significantly enrich the NHSE. Notably, time-reversal symmetry protects a Z NHSE, featuring oppositely accumulated skin modes. Here, a 1D bilayer Z NHSE model based on projective mirror symmetry is proposed, making Z NHSE possible in spinless systems. Experimentally, both uniform and bidirectional Z NHSEs are observed in acoustic metamaterials, where the necessary non-Hermitian elements-gain and loss-are achieved through active feedback circuits. These findings open new avenues for exploring symmetry-enriched non-Hermitian topological phenomena and pave the way for potential applications in wave manipulation, sensing, and beyond.
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http://dx.doi.org/10.1002/adma.202506739 | DOI Listing |