Abstract

The field of magnonics, which aims at using spin waves as carriers in data-processing devices, has attracted increasing interest in recent years. We present and study micromagnetically a nonlinear nanoscale magnonic ring resonator device for enabling implementations of magnonic logic gates and neuromorphic magnonic circuits. In the linear regime, this device efficiently suppresses spin-wave transmission using the phenomenon of critical resonant coupling, thus exhibiting the behavior of a notch filter. By increasing the spin-wave input power, the resonance frequency is shifted, leading to transmission curves, depending on the frequency, reminiscent of the activation functions of neurons, or showing the characteristics of a power limiter. An analytical theory is developed to describe the transmission curve of magnonic ring resonators in the linear and nonlinear regimes, and is validated by a comprehensive micromagnetic study. The proposed magnonic ring resonator provides a multi-functional nonlinear building block for unconventional magnonic circuits.

Highlights

  • Spin waves are collective excitations of spin systems in magnetic materials, which can be considered as a potential data carrier in future low-energy data-processing systems[1,2,3,4]

  • A magnonic ring resonator of submillimeter size has been studied in the linear regime using micromagnetic simulations as reported in ref. 32

  • The static magnetization distribution of the magnonic ring resonator obtained from micromagnetic simulation is shown in Fig. 1b

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Summary

Introduction

Spin waves are collective excitations of spin systems in magnetic materials, which can be considered as a potential data carrier in future low-energy data-processing systems[1,2,3,4]. The wavenumber is determined by the input spin-wave frequency, which is given by the dispersion relation ωk in the ring and is normally different from the wavenumber in the straight waveguide. The frequency dependence of the transmission coefficient is more pronounced because of a significant wavenumber dependence of the dynamic dipolar fields, generated by the spin waves propagating in the waveguide and the ring[24].

Results
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