Higher-order topological insulators in synthetic dimensions

Avik Dutt; Momchil Minkov; Ian A. D. Williamson; Shanhui Fan

doi:10.1038/s41377-020-0334-8

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Higher-order topological insulators in synthetic dimensions

Article

- Higher-order topological insulators in synthetic dimensions
- Higher-order topological insulators in synthetic dimensions
- LSA 2020年9卷第4期页码：1253-1261
- Affiliations：
  
  Ginzton Laboratory and Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA
- Author bio：
  
  Shanhui Fan (shanhui@stanford.edu)
- Funds：
- DOI：10.1038/s41377-020-0334-8
  中图分类号：
- 纸质出版日期：2020，
  
  网络出版日期：2020-07-20，
  
  收稿日期：2019-11-24，
  
  修回日期：2020-04-07，
  
  录用日期：2020-05-11
- Accepted：
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Higher-order topological insulators in synthetic dimensions[J]. LSA, 2020,9(4):1253-1261.

Dutt, A. et al. Higher-order topological insulators in synthetic dimensions. Light: Science & Applications, 9, 1253-1261 (2020).
Higher-order topological insulators in synthetic dimensions[J]. LSA, 2020,9(4):1253-1261. DOI： 10.1038/s41377-020-0334-8.

Dutt, A. et al. Higher-order topological insulators in synthetic dimensions. Light: Science & Applications, 9, 1253-1261 (2020). DOI： 10.1038/s41377-020-0334-8.

摘要

Abstract

Conventional topological insulators support boundary states with dimension one lower than that of the bulk system that hosts them

and these states are topologically protected due to quantized bulk dipole moments. Recently

higher-order topological insulators have been proposed as a way of realizing topological states with dimensions two or more lower than that of the bulk due to the quantization of bulk quadrupole or octupole moments. However

all these proposals as well as experimental realizations have been restricted to real-space dimensions. Here

we construct photonic higher-order topological insulators (PHOTIs) in synthetic dimensions. We show the emergence of a quadrupole PHOTI supporting topologically protected corner modes in an array of modulated photonic molecules with a synthetic frequency dimension

where each photonic molecule comprises two coupled rings. By changing the phase difference of the modulation between adjacent coupled photonic molecules

we predict a dynamical topological phase transition in the PHOTI. Furthermore

we show that the concept of synthetic dimensions can be exploited to realize even higher-order multipole moments such as a fourth-order hexadecapole (16-pole) insulator supporting 0D corner modes in a 4D hypercubic synthetic lattice that cannot be realized in real-space lattices.

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references

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