Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice

Fuente: arXiv
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Autori principali: Zhong, Jia-Xin, de Castro, Pedro Fittipaldi, Lu, Tianhong, Kim, Jeewoo, Oudich, Mourad, Ji, Jun, Shi, Li, Chen, Kai, Lu, Jing, Jing, Yun, Benalcazar, Wladimir A.
Natura: Preprint
Pubblicazione: 2024
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author Zhong, Jia-Xin
de Castro, Pedro Fittipaldi
Lu, Tianhong
Kim, Jeewoo
Oudich, Mourad
Ji, Jun
Shi, Li
Chen, Kai
Lu, Jing
Jing, Yun
Benalcazar, Wladimir A.
author_facet Zhong, Jia-Xin
de Castro, Pedro Fittipaldi
Lu, Tianhong
Kim, Jeewoo
Oudich, Mourad
Ji, Jun
Shi, Li
Chen, Kai
Lu, Jing
Jing, Yun
Benalcazar, Wladimir A.
contents The non-Hermitian skin effect (NHSE) is a distinctive topological phenomenon observed in nonHermitian systems. Recently, there has been considerable interest in exploring higher-order NHSE occurrences in two and three dimensions. In such systems, topological edge states collapse into a corner while bulk states remain delocalized. Through a Hermitian-non-Hermitian correspondence, this study predicts and experimentally observes the higher-order NHSE in an acoustic Kagome lattice possessing nonreciprocal hoppings. By rotating the frequency spectrum and employing complexfrequency excitation techniques, we observe the localization of acoustic energy towards a corner of the lattice in the topologically nontrivial phase, even when the source is located far from that corner. In contrast, the acoustic energy spreads out when excited at the frequencies hosting the bulk states. These observations are unequivocal evidence of the higher-order NHSE.
format Preprint
id arxiv_https___arxiv_org_abs_2409_01516
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
Zhong, Jia-Xin
de Castro, Pedro Fittipaldi
Lu, Tianhong
Kim, Jeewoo
Oudich, Mourad
Ji, Jun
Shi, Li
Chen, Kai
Lu, Jing
Jing, Yun
Benalcazar, Wladimir A.
Mesoscale and Nanoscale Physics
Materials Science
The non-Hermitian skin effect (NHSE) is a distinctive topological phenomenon observed in nonHermitian systems. Recently, there has been considerable interest in exploring higher-order NHSE occurrences in two and three dimensions. In such systems, topological edge states collapse into a corner while bulk states remain delocalized. Through a Hermitian-non-Hermitian correspondence, this study predicts and experimentally observes the higher-order NHSE in an acoustic Kagome lattice possessing nonreciprocal hoppings. By rotating the frequency spectrum and employing complexfrequency excitation techniques, we observe the localization of acoustic energy towards a corner of the lattice in the topologically nontrivial phase, even when the source is located far from that corner. In contrast, the acoustic energy spreads out when excited at the frequencies hosting the bulk states. These observations are unequivocal evidence of the higher-order NHSE.
title Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2409.01516