Octupole corner state in a three-dimensional topological circuit

Shuo Liu; Shaojie Ma; Qian Zhang; Lei Zhang; Cheng Yang; Oubo You; Wenlong Gao; Yuanjiang Xiang; Tie Jun Cui; Shuang Zhang

doi:10.1038/s41377-020-00381-w

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Octupole corner state in a three-dimensional topological circuit

Original Articles

- Octupole corner state in a three-dimensional topological circuit
- Octupole corner state in a three-dimensional topological circuit
- LSA 2020年9卷第5期页码：1437-1445
- Affiliations：
  
  1.Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, 518060 Shenzhen, China
  2.School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UK
  3.State Key Laboratory of Millimeter Waves, Southeast University, 210096 Nanjing, China
  4.School of Physics and Electronics, Hunan University, 410082 Changsha, China
- Author bio：
  
  Yuanjiang Xiang (Xiang78@hnu.edu.cn)
  TieJun Cui (Tjcui@seu.edu.cn)
  Shuang Zhang (S.Zhang@bham.ac.uk)
- Funds：
- DOI：10.1038/s41377-020-00381-w
  中图分类号：
- 纸质出版日期：2020，
  
  网络出版日期：2020-08-19，
  
  收稿日期：2020-02-03，
  
  修回日期：2020-07-09，
  
  录用日期：2020-08-05
- Accepted：
Scan QR Code
Octupole corner state in a three-dimensional topological circuit[J]. LSA, 2020,9(5):1437-1445.

Liu, S. et al. Octupole corner state in a three-dimensional topological circuit. Light: Science & Applications, 9, 1437-1445 (2020).
Octupole corner state in a three-dimensional topological circuit[J]. LSA, 2020,9(5):1437-1445. DOI： 10.1038/s41377-020-00381-w.

Liu, S. et al. Octupole corner state in a three-dimensional topological circuit. Light: Science & Applications, 9, 1437-1445 (2020). DOI： 10.1038/s41377-020-00381-w.

摘要

Abstract

Higher-order topological insulators (HOTIs) represent a new family of topological materials featuring quantized bulk polarizations and zero-dimensional corner states. In recent years

zero-dimensional corner states have been demonstrated in two-dimensional systems in the form of quadrupole modes or dipole modes. Due to the challenges in designing and constructing three-dimensional systems

octupole corner modes in 3D have not been observed. In this work

we experimentally investigate octupole topological phases in a three-dimensional electrical circuit

which can be viewed as a cubic lattice version of the Hofstadter model with a

-flux threading each plaquette. We experimentally observe in our higher-order topological circuit a 0D corner state manifested as a localized impedance peak. The observed corner state in the electrical circuit is induced by the octupole moment of the bulk circuit and is topologically protected by anticommuting spatial symmetries of the circuit lattice. Our work provides a platform for investigating higher-order topological effects in three-dimensional electrical circuits.

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references

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