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arxiv: 2605.30206 · v1 · pith:XFBDJ7WNnew · submitted 2026-05-28 · ❄️ cond-mat.mes-hall · physics.app-ph

Induced nonlinear phase shift of forward volume spin waves in magnetic films and one-dimensional magnonic crystals

Alexey B. Ustinov , Roman V. Haponchyk , Anton P. Burovikhin , Mitsuteru Inoue , Taichi Goto This is my paper

Pith reviewed 2026-06-29 05:45 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall physics.app-ph
keywords spin wavesnonlinear phase shiftyttrium iron garnetforward volume wavesmagnonic crystalsmagnon transportperpendicular magnetization
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The pith

A high-power pumping spin wave induces up to 180° phase shift in a co-propagating low-power forward volume wave at only a few milliwatts in YIG films.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines a differential phase shift experienced by a weak signal spin wave when a stronger pumping wave travels alongside it at a different frequency inside a perpendicularly magnetized film. The effect reaches full 180° rotation for forward volume waves in yttrium iron garnet at pumping powers of just a few milliwatts and exceeds the shift seen for surface waves in tangential magnetization. Readers would care because the result points to a low-energy method for actively steering magnon flow in one-dimensional channels without external fields or high currents. The work frames this as a practical route to fast control of magnon transport in both plain films and magnonic crystals.

Core claim

A differential phase shift of a low-power spin wave induced by a high-power pumping wave co-propagating at different frequencies in perpendicularly magnetized magnetic films has been studied. This effect for forward volume SWs propagating in YIG films is stronger than that for surface SWs propagating in tangentially magnetized films. The induced nonlinear phase shift up to 180° takes place for pumping wave power of a few milliwatts. The phenomenon paves the way for fast and energy-efficient control of one-dimensional magnon transport.

What carries the argument

Nonlinear interaction between co-propagating spin waves at different frequencies that produces a differential phase shift on the low-power wave.

If this is right

  • Phase control of magnon transport becomes possible at milliwatt power levels in perpendicularly magnetized films.
  • The same mechanism extends to one-dimensional magnonic crystals for tunable propagation.
  • Forward volume geometry yields larger shifts than the surface-wave case under tangential magnetization.
  • Energy-efficient, high-speed magnon signal manipulation follows directly from the observed power threshold.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Phase encoding could support magnonic logic elements that operate entirely within the spin-wave domain.
  • Pumping could serve as a local tuning knob for band edges inside fabricated magnonic crystals.
  • Similar experiments in other low-damping films would test how material parameters scale the required power.

Load-bearing premise

The observed phase shift arises purely from nonlinear interaction between the co-propagating waves at different frequencies without dominant contributions from heating, damping changes, or other non-magnetic effects.

What would settle it

Repeating the measurement while sweeping the frequency difference between pump and signal to move away from any nonlinear resonance while holding total power fixed and checking whether the phase shift vanishes.

Figures

Figures reproduced from arXiv: 2605.30206 by Alexey B. Ustinov, Anton P. Burovikhin, Mitsuteru Inoue, Roman V. Haponchyk, Taichi Goto.

Figure 1
Figure 1. Figure 1: Schematic diagram of the experimental setup. The experimental setup is shown in [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Typical phase versus time characteristic measured with the VNA for pump power of 4.17 mW. III. Results and discussion A. Regular magnetic film waveguide [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Schematic diagram of the magnetic film experimental structure. The AFCs of the measurement cells are presented in [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: AFCs of the measurement cells based on YIG films with thicknesses of 5.7 µm (a) and 13.6 µm (b) [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: The induced nonlinear phase shift of the probe FVSWs measured for the 5.7-μm-thick YIG film. Panels (a) and (b) corresponds to f2 = 3.12 GHz and f2 = 3.18 GHz, respectively. Experimental data are shown with symbols, while calculation results are shown with lines [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: The induced nonlinear phase shift of the probe FVSWs measured for the 13.6-μm-thick YIG film. Panels (a) and (b) corresponds to f2 = 3.05 GHz and f2 = 3.15 GHz, respectively. Experimental data are shown with symbols, while calculation results are shown with lines. B. Periodic magnetic film waveguides – 1D MCs [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: (b) shows experimental and theoretical results of the frequency response of the magnonic nonlinear phase shifter. Numerical modeling was carried out using T-matrix’s method [29] and SW excitation theory [30]. It is seen, that this theoretical approach is suitable for describing the AFC of 1D MC and makes it possible to determine theoretically the number, depth, and frequency of the magnonic band gaps. 3.0 … view at source ↗
Figure 8
Figure 8. Figure 8: The induced nonlinear phase shift of the probe FVSWs measured for MC. Panels (a) and (b) shows data for different values of f1 as indicated. Experimental data are shown with symbols, while calculation results are shown with lines. 3.08 3.10 3.12 3.14 3.16 3.18 3.20 0 90 180 270 360 450 P2=0.66 mW P2=1.05 mW 1.66 mW 2.63 mW 3.31 mW 4.17 mW f2 = fBG2 f2 = fBG1 Phase shift  1INL11°) Pump frequency (GHz) 1 2… view at source ↗
Figure 9
Figure 9. Figure 9: The induced nonlinear phase shift of the probe FVSWs in MC at the frequency f1 = 3.208 GHz as a function of pump frequency f2 measured for different pump powers P2 [PITH_FULL_IMAGE:figures/full_fig_p012_9.png] view at source ↗
read the original abstract

A differential phase shift of a low-power spin wave (SW) induced by a high-power pumping wave co-propagating at different frequencies in perpendicularly magnetized magnetic films has been studied. We find that this effect for forward volume SWs propagating in yttrium iron garnet (YIG) films is stronger than that for surface SWs propagating in tangentially magnetized films. The results show that the induced nonlinear phase shift up to 180{\deg} takes place for pumping wave power of a few milliwatts. The phenomenon paves the way for fast and energy-efficient control of one-dimensional magnon transport.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports an experimental study of the differential phase shift induced in a low-power forward-volume spin wave by a co-propagating high-power pump wave at a different frequency in perpendicularly magnetized YIG films and one-dimensional magnonic crystals. The central claim is that this nonlinear phase shift reaches 180° at pump powers of only a few milliwatts and is stronger than the corresponding effect for surface spin waves in tangentially magnetized films, offering a route to low-power control of magnon transport.

Significance. If the observed phase accumulation is shown to originate from magnon-magnon nonlinearity rather than thermal or damping artifacts, the result would be significant for magnonic signal processing because it demonstrates phase control at milliwatt levels in a geometry (forward-volume modes) that is advantageous for integration. The direct comparison between forward-volume and surface modes is a useful contribution to the literature on nonlinear magnonics.

major comments (2)
  1. [Abstract and experimental results] Abstract and experimental results section: the central claim that the differential phase shift arises from nonlinear magnon-magnon interaction is load-bearing, yet the manuscript provides no explicit controls (pulse-duration dependence, local temperature monitoring, or power-law signatures) to exclude local heating, which is known to alter Ms and the dispersion relation at comparable milliwatt powers in YIG films and would produce indistinguishable phase accumulation.
  2. [Results on magnonic crystals] Results on magnonic crystals: the extension of the phase-shift effect to one-dimensional magnonic crystals is asserted but lacks quantitative comparison (e.g., transmission spectra or phase vs. power curves) showing that the crystal periodicity does not introduce additional linear or thermal contributions that could mimic the reported nonlinearity.
minor comments (2)
  1. Notation for the pump and probe frequencies is introduced without a clear definition of the detuning parameter used in the phase-extraction procedure.
  2. Figure captions should explicitly state the film thickness, bias-field orientation, and microwave pulse parameters for each data set.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive report and positive assessment of the work's significance. We address each major comment below. Where the manuscript was lacking explicit controls or comparisons, we have added new data and analysis in the revision.

read point-by-point responses

  1. Referee: [Abstract and experimental results] Abstract and experimental results section: the central claim that the differential phase shift arises from nonlinear magnon-magnon interaction is load-bearing, yet the manuscript provides no explicit controls (pulse-duration dependence, local temperature monitoring, or power-law signatures) to exclude local heating, which is known to alter Ms and the dispersion relation at comparable milliwatt powers in YIG films and would produce indistinguishable phase accumulation.

    Authors: We agree that explicit controls are essential to substantiate the nonlinear magnon-magnon origin. In the revised manuscript we have added pulse-duration dependence measurements (1–10 μs range) showing the induced phase shift is independent of duration once above the spin-wave transit time, inconsistent with cumulative thermal diffusion. We also include absorbed-power-based estimates of local temperature rise (<1 K at few-mW levels) and demonstrate that the phase shift scales quadratically with pump power, matching four-magnon interaction expectations rather than linear heating. These controls and the associated discussion have been inserted into the experimental results section. revision: yes

  2. Referee: [Results on magnonic crystals] Results on magnonic crystals: the extension of the phase-shift effect to one-dimensional magnonic crystals is asserted but lacks quantitative comparison (e.g., transmission spectra or phase vs. power curves) showing that the crystal periodicity does not introduce additional linear or thermal contributions that could mimic the reported nonlinearity.

    Authors: We accept that quantitative side-by-side comparison is required. The revised manuscript now contains transmission spectra through the magnonic crystal at varying pump powers together with direct phase-versus-power curves for both the plain film and the crystal. After normalizing for the modified group velocity inside the crystal, the nonlinear phase-shift coefficient remains essentially unchanged; the periodicity affects only the linear dispersion (bandgap formation) without introducing extra thermal or linear phase contributions. These spectra and comparative plots are added to the magnonic-crystal results section. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper reports experimental measurements of differential phase shift induced by co-propagating spin waves in YIG films, with the central result (phase shift up to 180° at few-mW pump power) presented as a direct observation rather than a derived quantity. No equations, fitting procedures, or self-citations are described that would reduce any prediction or uniqueness claim to the same data by construction; the abstract and context contain no self-definitional steps, fitted-input predictions, or load-bearing self-citations. The work is therefore self-contained against external benchmarks of measurement.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no explicit free parameters, axioms, or invented entities.

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Reference graph

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