Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit
The conventional bulk-boundary correspondence directly connects the number of topological edge states in a finite system with the topological invariant in the bulk band structure with periodic boundary condition (PBC). However, recent studies show that this principle fails in certain non-Hermitian s...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Association for the Advancement of Science (AAAS)
2021-01-01
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| Series: | Research |
| Online Access: | http://dx.doi.org/10.34133/2021/5608038 |
| _version_ | 1797280571000356864 |
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| author | Shuo Liu Ruiwen Shao Shaojie Ma Lei Zhang Oubo You Haotian Wu Yuan Jiang Xiang Tie Jun Cui Shuang Zhang |
| author_facet | Shuo Liu Ruiwen Shao Shaojie Ma Lei Zhang Oubo You Haotian Wu Yuan Jiang Xiang Tie Jun Cui Shuang Zhang |
| author_sort | Shuo Liu |
| collection | DOAJ |
| description | The conventional bulk-boundary correspondence directly connects the number of topological edge states in a finite system with the topological invariant in the bulk band structure with periodic boundary condition (PBC). However, recent studies show that this principle fails in certain non-Hermitian systems with broken reciprocity, which stems from the non-Hermitian skin effect (NHSE) in the finite system where most of the eigenstates decay exponentially from the system boundary. In this work, we experimentally demonstrate a 1D non-Hermitian topological circuit with broken reciprocity by utilizing the unidirectional coupling feature of the voltage follower module. The topological edge state is observed at the boundary of an open circuit through an impedance spectra measurement between adjacent circuit nodes. We confirm the inapplicability of the conventional bulk-boundary correspondence by comparing the circuit Laplacian between the periodic boundary condition (PBC) and open boundary condition (OBC). Instead, a recently proposed non-Bloch bulk-boundary condition based on a non-Bloch winding number faithfully predicts the number of topological edge states. |
| first_indexed | 2024-03-07T16:42:08Z |
| format | Article |
| id | doaj.art-421dd536f86c4876a1cb4f4a8ccc5527 |
| institution | Directory Open Access Journal |
| issn | 2639-5274 |
| language | English |
| last_indexed | 2024-03-07T16:42:08Z |
| publishDate | 2021-01-01 |
| publisher | American Association for the Advancement of Science (AAAS) |
| record_format | Article |
| series | Research |
| spelling | doaj.art-421dd536f86c4876a1cb4f4a8ccc55272024-03-03T07:28:33ZengAmerican Association for the Advancement of Science (AAAS)Research2639-52742021-01-01202110.34133/2021/5608038Non-Hermitian Skin Effect in a Non-Hermitian Electrical CircuitShuo Liu0Ruiwen Shao1Shaojie Ma2Lei Zhang3Oubo You4Haotian Wu5Yuan Jiang Xiang6Tie Jun Cui7Shuang Zhang8School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UKState Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, ChinaSchool of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UKState Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, ChinaSchool of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UKState Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, ChinaSchool of Physics and Electronics, Hunan University, Changsha 410082, ChinaState Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, ChinaSchool of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UKThe conventional bulk-boundary correspondence directly connects the number of topological edge states in a finite system with the topological invariant in the bulk band structure with periodic boundary condition (PBC). However, recent studies show that this principle fails in certain non-Hermitian systems with broken reciprocity, which stems from the non-Hermitian skin effect (NHSE) in the finite system where most of the eigenstates decay exponentially from the system boundary. In this work, we experimentally demonstrate a 1D non-Hermitian topological circuit with broken reciprocity by utilizing the unidirectional coupling feature of the voltage follower module. The topological edge state is observed at the boundary of an open circuit through an impedance spectra measurement between adjacent circuit nodes. We confirm the inapplicability of the conventional bulk-boundary correspondence by comparing the circuit Laplacian between the periodic boundary condition (PBC) and open boundary condition (OBC). Instead, a recently proposed non-Bloch bulk-boundary condition based on a non-Bloch winding number faithfully predicts the number of topological edge states.http://dx.doi.org/10.34133/2021/5608038 |
| spellingShingle | Shuo Liu Ruiwen Shao Shaojie Ma Lei Zhang Oubo You Haotian Wu Yuan Jiang Xiang Tie Jun Cui Shuang Zhang Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit Research |
| title | Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit |
| title_full | Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit |
| title_fullStr | Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit |
| title_full_unstemmed | Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit |
| title_short | Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit |
| title_sort | non hermitian skin effect in a non hermitian electrical circuit |
| url | http://dx.doi.org/10.34133/2021/5608038 |
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