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Magnonic Frequency Comb through Nonlinear Magnon-Skyrmion Scattering

Zhenyu Wang, H. Y. Yuan, Yunshan Cao, Z.-X. Li, Rembert A. Duine, and Peng Yan
Phys. Rev. Lett. 127, 037202 – Published 13 July 2021
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    Abstract

    An optical frequency comb consists of a set of discrete and equally spaced frequencies and has found wide applications in the synthesis over a broad range of spectral frequencies of electromagnetic waves and precise optical frequency metrology. Despite the analogies between magnons and photons in many aspects, the analog of an optical frequency comb in magnonic systems has not been reported. Here, we theoretically study the magnon-skyrmion interaction and find that a magnonic frequency comb (MFC) can be generated above a threshold driving amplitude, where the nonlinear scattering process involving three magnons prevails. The mode spacing of the MFC is equal to the breathing-mode frequency of the skyrmion and is thus tunable by either electric or magnetic means. The theoretical prediction is verified by micromagnetic simulations, and the essential physics can be generalized to a large class of magnetic solitons. Our findings open a new pathway to observe frequency comb structures in magnonic devices that may inspire the study of fundamental nonlinear physics in spintronic platforms in the future.

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    • Received 9 February 2021
    • Accepted 22 June 2021

    DOI:https://doi.org/10.1103/PhysRevLett.127.037202

    © 2021 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Frequency combs & self-phase lockingMagnonsSkyrmions
    Condensed Matter, Materials & Applied Physics

    Authors & Affiliations

    Zhenyu Wang1, H. Y. Yuan2,*, Yunshan Cao1, Z.-X. Li1, Rembert A. Duine2, and Peng Yan1,†

    • 1School of Electronic Science and Engineering and State Key Laboratory of Electronic Thin Films and Integrated Devices, University of Electronic Science and Technology of China, Chengdu 610054, China
    • 2Institute for Theoretical Physics, Utrecht University, 3584 CC Utrecht, Netherlands

    • *Corresponding author. huaiyangyuan@gmail.com
    • †Corresponding author. yan@uestc.edu.cn

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    Issue

    Vol. 127, Iss. 3 — 16 July 2021

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    • Figure 1
      Figure 1

      Schematic illustration of nonlinear magnon-skyrmion scattering and the resulting MFC in a magnetic film. The mode spacing in the frequency comb is determined by the frequency of skyrmion breathing mode ωr.

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    • Figure 2
      Figure 2

      (a) Schematic illustration of a magnetic thin film hosting a Néel-type skyrmion. (b) The internal spectrum of the magnetic film with (solid line) and without a skyrmion (dashed line). (c),(d) The time evolution of skyrmion position and skyrmion radius under the driving with frequency ω/2π=8 and 30.7 GHz, respectively.

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    • Figure 3
      Figure 3

      (a) Illustration of magnetic film subjected to a microwave source applied in a rectangular region (black bar). (b) The complete response of the system as we tune the driving amplitude (h0). The driving frequency is fixed at 80 GHz. The color codes the amplitude of the excitation. (c) Response of the system at three representative fields μ0h0=10  mT (upper panel), 100 mT (middle panel), and 200 mT (lower panel), respectively. (d) The amplitude of the four main peaks at ω/2π=80, 8, and 80±8  GHz as a function of the driving amplitude obtained by integrating in a 0.5-GHz-wide frequency window. Analytical curves are calculated by solving the Heisenberg equation with parameters α=0.001, ωk/2π=80  GHz, ωr/2π=8  GHz, and g=4.5×10−3  GHz.

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    • Figure 4
      Figure 4

      (a) Response of the system as a function of the frequency of the microwave source. The driving amplitude is fixed at 150 mT. (b) The amplitudes of the four main modes ω0,ω0±ωr,ωr as a function of the driving amplitude. The theoretical curves are calculated resembling that in Fig. 3 with a driving-frequency-dependent coupling g. g0=6.65×10−3  GHz,σ=8  GHz.

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