Observation of nonlinear fractal higher order topological insulator

Hua Zhong; Victor O. Kompanets; Yiqi Zhang; Yaroslav V. Kartashov; Meng Cao; Yongdong Li; Sergei A. Zhuravitskii; Nikolay N. Skryabin; Ivan V. Dyakonov; Alexander A. Kalinkin; Sergei P. Kulik; Sergey V. Chekalin; Victor N. Zadkov

doi:10.1038/s41377-024-01611-1

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Observation of nonlinear fractal higher order topological insulator

Original Articles

- Observation of nonlinear fractal higher order topological insulator
- Light: Science & Applications Vol. 13, Issue 11, Pages: 2699-2714(2024)
- Affiliations：
  
  1.Key Laboratory for Physical Electronics and Devices, Ministry of Education, School of Electronic Science and Engineering, Xi'an Jiaotong University, 710049 Xi'an, China
  2.Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow 108840, Russia
  3.Quantum Technology Centre, Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia
  4.Faculty of Physics, Higher School of Economics, Moscow 105066, Russia
- Author bio：
  
  Yiqi Zhang (zhangyiqi@xjtu.edu.cn)
  Yaroslav V. Kartashov (kartashov@isan.troitsk.ru)
- Funds：
- DOI：10.1038/s41377-024-01611-1
  CLC：
- Published：30 November 2024，
  
  Published Online：20 September 2024，
  
  Received：11 April 2024，
  
  Revised：27 August 2024，
  
  Accepted：27 August 2024
- Accepted：
Scan QR Code
Zhong, H. et al. Observation of nonlinear fractal higher order topological insulator. Light: Science & Applications, 13, 2699-2714 (2024).
DOI：

Zhong, H. et al. Observation of nonlinear fractal higher order topological insulator. Light: Science & Applications, 13, 2699-2714 (2024). DOI： 10.1038/s41377-024-01611-1.

摘要

Abstract

Higher-order topological insulators (HOTIs) are unique materials hosting topologically protected states

whose dimensionality is at least by 2 lower than that of the bulk. Topological states in such insulators may be strongly confined in their corners which leads to considerable enhancement of nonlinear processes involving such states. However

all nonlinear HOTIs demonstrated so far were built on periodic bulk lattice materials. Here

we demonstrate the first

nonlinear photonic

HOTI with the fractal origin. Despite their fractional effective dimensionality

the HOTIs constructed here on two different types of the Sierpiński gasket waveguide arrays

may support topological corner states for unexpectedly wide range of coupling strengths

even in parameter regions where conventional HOTIs b

ecome trivial. We demonstrate thresholdless spatial solitons bifurcating from corner states in nonlinear fractal HOTIs and show that their localization can be efficiently controlled by the input beam power. We observe sharp differences in nonlinear light localization on outer and multiple inner corners and edges representative for these fractal materials. Our findings not only represent a new paradigm for nonlinear topological insulators

but also open new avenues for potential applications of fractal materials to control the light flow.

关键词

Keywords

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