Disordered transmission-line networks with and without parity symmetry
Topological states are useful because they are robust against disorder and imperfection. In this study, we consider the effect of disorder and the breaking of parity symmetry on a topological network system in which the edge states are protected by Chern numbers. In the absence of periodicity, the l...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2022-01-01
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| Series: | EPJ Applied Metamaterials |
| Subjects: | |
| Online Access: | https://epjam.edp-open.org/articles/epjam/full_html/2022/01/epjam210033/epjam210033.html |
| _version_ | 1811189151531270144 |
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| author | Jiang Tianshu Chan Che Ting |
| author_facet | Jiang Tianshu Chan Che Ting |
| author_sort | Jiang Tianshu |
| collection | DOAJ |
| description | Topological states are useful because they are robust against disorder and imperfection. In this study, we consider the effect of disorder and the breaking of parity symmetry on a topological network system in which the edge states are protected by Chern numbers. In the absence of periodicity, the local Chern number is adopted to characterize the topological features of the network. Our numerical results show that the local Chern number and the edge states are very robust against onsite disorder as long as the gap of the bulk state continuum remains open and survives even when the bulk band gap is closed. Breaking the parity symmetry can destroy the quantization of local Chern numbers, compromising the existence of edge modes. We observed non-integer local Chern number peaks that are non-zero inside the bulk bands but these non-zero non-integral local Chern numbers are not associated with the existence of robust edge states. |
| first_indexed | 2024-04-11T14:30:05Z |
| format | Article |
| id | doaj.art-9449fc1cbb0642fc9f488ea2d6f46bf0 |
| institution | Directory Open Access Journal |
| issn | 2272-2394 |
| language | English |
| last_indexed | 2024-04-11T14:30:05Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Applied Metamaterials |
| spelling | doaj.art-9449fc1cbb0642fc9f488ea2d6f46bf02022-12-22T04:18:39ZengEDP SciencesEPJ Applied Metamaterials2272-23942022-01-019410.1051/epjam/2022001epjam210033Disordered transmission-line networks with and without parity symmetryJiang Tianshu0https://orcid.org/0000-0002-0157-3877Chan Che Ting1Department of Physics, Hong Kong University of Science and Technology, Clear Water BayDepartment of Physics, Hong Kong University of Science and Technology, Clear Water BayTopological states are useful because they are robust against disorder and imperfection. In this study, we consider the effect of disorder and the breaking of parity symmetry on a topological network system in which the edge states are protected by Chern numbers. In the absence of periodicity, the local Chern number is adopted to characterize the topological features of the network. Our numerical results show that the local Chern number and the edge states are very robust against onsite disorder as long as the gap of the bulk state continuum remains open and survives even when the bulk band gap is closed. Breaking the parity symmetry can destroy the quantization of local Chern numbers, compromising the existence of edge modes. We observed non-integer local Chern number peaks that are non-zero inside the bulk bands but these non-zero non-integral local Chern numbers are not associated with the existence of robust edge states.https://epjam.edp-open.org/articles/epjam/full_html/2022/01/epjam210033/epjam210033.htmltopological insulatordisordered systemlocal chern numbertransmission line network |
| spellingShingle | Jiang Tianshu Chan Che Ting Disordered transmission-line networks with and without parity symmetry EPJ Applied Metamaterials topological insulator disordered system local chern number transmission line network |
| title | Disordered transmission-line networks with and without parity symmetry |
| title_full | Disordered transmission-line networks with and without parity symmetry |
| title_fullStr | Disordered transmission-line networks with and without parity symmetry |
| title_full_unstemmed | Disordered transmission-line networks with and without parity symmetry |
| title_short | Disordered transmission-line networks with and without parity symmetry |
| title_sort | disordered transmission line networks with and without parity symmetry |
| topic | topological insulator disordered system local chern number transmission line network |
| url | https://epjam.edp-open.org/articles/epjam/full_html/2022/01/epjam210033/epjam210033.html |
| work_keys_str_mv | AT jiangtianshu disorderedtransmissionlinenetworkswithandwithoutparitysymmetry AT chancheting disorderedtransmissionlinenetworkswithandwithoutparitysymmetry |