Construction and Observation of Flexibly Controllable High-Dimensional Non-Hermitian Skin Effects

Fuente: arXiv
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Main Authors: Zhang, Qicheng, Leng, Yufei, Xiong, Liwei, Li, Yuzeng, Zhang, Kun, Qi, Liangjun, Qiu, Chunyin
Format: Preprint
Published: 2024
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author Zhang, Qicheng
Leng, Yufei
Xiong, Liwei
Li, Yuzeng
Zhang, Kun
Qi, Liangjun
Qiu, Chunyin
author_facet Zhang, Qicheng
Leng, Yufei
Xiong, Liwei
Li, Yuzeng
Zhang, Kun
Qi, Liangjun
Qiu, Chunyin
contents Non-Hermitian skin effect (NHSE) is one of the most fundamental phenomena in non-Hermitian physics. Although it is established that one-dimensional NHSE originates from the nontrivial spectral winding topology, the topological origin behind the higher-dimensional NHSE remains unclear so far. This poses a substantial challenge in constructing and manipulating high-dimensional NHSEs. Here, an intuitive bottom-to-top scheme to construct high-dimensional NHSEs is proposed, through assembling multiple independent one-dimensional NHSEs. Not only the elusive high-dimensional NHSEs can be effectively predicted from the well-defined one-dimensional spectral winding topologies, but also the high-dimensional generalized Brillouin zones can be directly synthesized from the one-dimensional counterparts. As examples, two two-dimensional nonreciprocal acoustic metamaterials are experimentally implemented to demonstrate highly controllable multi-polar NHSEs and hybrid skin-topological effects, where the sound fields can be frequency-selectively localized at any desired corners and boundaries. These results offer a practicable strategy for engineering high-dimensional NHSEs, which could boost advanced applications such as selective filters and directional amplifiers.
format Preprint
id arxiv_https___arxiv_org_abs_2406_02593
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Construction and Observation of Flexibly Controllable High-Dimensional Non-Hermitian Skin Effects
Zhang, Qicheng
Leng, Yufei
Xiong, Liwei
Li, Yuzeng
Zhang, Kun
Qi, Liangjun
Qiu, Chunyin
Classical Physics
Materials Science
Other Condensed Matter
Applied Physics
Non-Hermitian skin effect (NHSE) is one of the most fundamental phenomena in non-Hermitian physics. Although it is established that one-dimensional NHSE originates from the nontrivial spectral winding topology, the topological origin behind the higher-dimensional NHSE remains unclear so far. This poses a substantial challenge in constructing and manipulating high-dimensional NHSEs. Here, an intuitive bottom-to-top scheme to construct high-dimensional NHSEs is proposed, through assembling multiple independent one-dimensional NHSEs. Not only the elusive high-dimensional NHSEs can be effectively predicted from the well-defined one-dimensional spectral winding topologies, but also the high-dimensional generalized Brillouin zones can be directly synthesized from the one-dimensional counterparts. As examples, two two-dimensional nonreciprocal acoustic metamaterials are experimentally implemented to demonstrate highly controllable multi-polar NHSEs and hybrid skin-topological effects, where the sound fields can be frequency-selectively localized at any desired corners and boundaries. These results offer a practicable strategy for engineering high-dimensional NHSEs, which could boost advanced applications such as selective filters and directional amplifiers.
title Construction and Observation of Flexibly Controllable High-Dimensional Non-Hermitian Skin Effects
topic Classical Physics
Materials Science
Other Condensed Matter
Applied Physics
url https://arxiv.org/abs/2406.02593