Subharmonic oscillations in the Floquet circuit with the frequency-synthesis dimension

The period-doubling oscillation emerges due to the coexistence of zero and π modes in Floquet topological insulators (FTIs). Here, leveraging the flexibility of the electric circuit, we construct a circuit with frequency-synthetic dimension to realize the FTIs of a periodically-driven model and demonstrate the topological edge states of zero and π modes. In contrast to the period-doubling oscillations observed in FTIs, the circuit exhibits deeply-subharmonic oscillations with periods extensively exceeding the doubling-driven period. Furthermore, we explore the band of the circuit with the equivalent-enhanced periodically-driven strength. Our method provides a flexible scheme to study Floquet topological phases, and open a new path for realizing the deeply subwavelength system.

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Publication Details

Journal
Reviews in Physics
Published
2025-01-29
DOI
https://doi.org/10.1016/j.revip.2025.100105
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
0.00

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article

Subharmonic oscillations in the Floquet circuit with the frequency-synthesis dimension

Sijie Wang, Huibin Tao, Zheng Zhu, Ting Liu et al.
Reviews in Physics
Topological Materials and Phenomena
article

Subharmonic oscillations in the Floquet circuit with the frequency-synthesis dimension

Sijie Wang, Huibin Tao, Zheng Zhu, Ting Liu, Ye Tian, Hongyang Mu, Bo Lv, Jinhui Shi, Meng Fan-yi, Shiyun Xia, Zhichao Shen
article en

Abstract

The period-doubling oscillation emerges due to the coexistence of zero and π modes in Floquet topological insulators (FTIs). Here, leveraging the flexibility of the electric circuit, we construct a circuit with frequency-synthetic dimension to realize the FTIs of a periodically-driven model and demonstrate the topological edge states of zero and π modes. In contrast to the period-doubling oscillations observed in FTIs, the circuit exhibits deeply-subharmonic oscillations with periods extensively exceeding the doubling-driven period. Furthermore, we explore the band of the circuit with the equivalent-enhanced periodically-driven strength. Our method provides a flexible scheme to study Floquet topological phases, and open a new path for realizing the deeply subwavelength system.

Reviews in PhysicsVol. 13
Harbin Engineering University (CN), Harbin Institute of Technology (CN), Nanjing University of Science and Technology (CN), Heilongjiang Institute of Technology (CN), Xi'an Jiaotong University (CN)
National Natural Science Foundation of China, Natural Science Foundation of Heilongjiang Province, Fundamental Research Funds for the Central Universities, Fundamental Research Funds for Central Universities of the Central South University
Openalex Percentile: Top 99%
Topological Materials and Phenomena
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