Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit
Topological circuits, an exciting field just emerged over the last two years, have become a very accessible platform for realizing and exploring topological physics, with many of their physical phenomena and potential applications as yet to be discovered. In this work, we design and experimentally d...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Association for the Advancement of Science (AAAS)
2019-01-01
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| Series: | Research |
| Online Access: | http://dx.doi.org/10.34133/2019/8609875 |
| _version_ | 1827332064192495616 |
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| author | Shuo Liu Wenlong Gao Qian Zhang Shaojie Ma Lei Zhang Changxu Liu Yuan Jiang Xiang Tie Jun Cui Shuang Zhang |
| author_facet | Shuo Liu Wenlong Gao Qian Zhang Shaojie Ma Lei Zhang Changxu Liu Yuan Jiang Xiang Tie Jun Cui Shuang Zhang |
| author_sort | Shuo Liu |
| collection | DOAJ |
| description | Topological circuits, an exciting field just emerged over the last two years, have become a very accessible platform for realizing and exploring topological physics, with many of their physical phenomena and potential applications as yet to be discovered. In this work, we design and experimentally demonstrate a topologically nontrivial band structure and the associated topologically protected edge states in an RF circuit, which is composed of a collection of grounded capacitors connected by alternating inductors in the x and y directions, in analogy to the Su–Schrieffer–Heeger model. We take full control of the topological invariant (i.e., Zak phase) as well as the gap width of the band structure by simply tuning the circuit parameters. Excellent agreement is found between the experimental and simulation results, both showing obvious nontrivial edge state that is tightly bound to the circuit boundaries with extreme robustness against various types of defects. The demonstration of topological properties in circuits provides a convenient and flexible platform for studying topological materials and the possibility for developing flexible circuits with highly robust circuit performance. |
| first_indexed | 2024-03-07T16:51:23Z |
| format | Article |
| id | doaj.art-beb09f321c4c41b2a6fcd1d5369c6260 |
| institution | Directory Open Access Journal |
| issn | 2639-5274 |
| language | English |
| last_indexed | 2024-03-07T16:51:23Z |
| publishDate | 2019-01-01 |
| publisher | American Association for the Advancement of Science (AAAS) |
| record_format | Article |
| series | Research |
| spelling | doaj.art-beb09f321c4c41b2a6fcd1d5369c62602024-03-03T05:03:59ZengAmerican Association for the Advancement of Science (AAAS)Research2639-52742019-01-01201910.34133/2019/8609875Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger CircuitShuo Liu0Wenlong Gao1Qian Zhang2Shaojie Ma3Lei Zhang4Changxu Liu5Yuan Jiang Xiang6Tie Jun Cui7Shuang Zhang8School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UK; Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, 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, UK; Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, ChinaState Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, ChinaSchool of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UKKey Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, ChinaState Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, ChinaSchool of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UKTopological circuits, an exciting field just emerged over the last two years, have become a very accessible platform for realizing and exploring topological physics, with many of their physical phenomena and potential applications as yet to be discovered. In this work, we design and experimentally demonstrate a topologically nontrivial band structure and the associated topologically protected edge states in an RF circuit, which is composed of a collection of grounded capacitors connected by alternating inductors in the x and y directions, in analogy to the Su–Schrieffer–Heeger model. We take full control of the topological invariant (i.e., Zak phase) as well as the gap width of the band structure by simply tuning the circuit parameters. Excellent agreement is found between the experimental and simulation results, both showing obvious nontrivial edge state that is tightly bound to the circuit boundaries with extreme robustness against various types of defects. The demonstration of topological properties in circuits provides a convenient and flexible platform for studying topological materials and the possibility for developing flexible circuits with highly robust circuit performance.http://dx.doi.org/10.34133/2019/8609875 |
| spellingShingle | Shuo Liu Wenlong Gao Qian Zhang Shaojie Ma Lei Zhang Changxu Liu Yuan Jiang Xiang Tie Jun Cui Shuang Zhang Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit Research |
| title | Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit |
| title_full | Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit |
| title_fullStr | Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit |
| title_full_unstemmed | Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit |
| title_short | Topologically Protected Edge State in Two-Dimensional Su–Schrieffer–Heeger Circuit |
| title_sort | topologically protected edge state in two dimensional su schrieffer heeger circuit |
| url | http://dx.doi.org/10.34133/2019/8609875 |
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