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arxiv: 2405.15617 · v2 · submitted 2024-05-24 · ❄️ cond-mat.mtrl-sci · physics.app-ph

Inductive detection of inverse spin-orbit torques in magnetic heterostructures

Misbah Yaqoob , Fabian Kammerbauer , Tom G. Saunderson , Vitaliy I. Vasyuchka , Dongwook Go , Hassan Al-Hamdo , Gerhard Jakob , Yuriy Mokrousov
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Mathias Kl\"aui Mathias Weiler
This is my paper

Pith reviewed 2026-05-24 00:35 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci physics.app-ph
keywords spin-orbit torqueinverse spin-orbit torquemagnetic heterostructuresinductive detectionCoFeBperpendicular magnetic anisotropyspin-to-charge conversionvector network analyzer
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The pith

Ferromagnetic multilayers generate spin-orbit torques comparable to platinum and show clear dependence on adjacent layer thickness.

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

The paper sets out to demonstrate that perpendicular magnetic anisotropy multilayers such as [Co/Ni] and [Co/Pt] can act as effective torque-generating layers in place of conventional heavy metals. The authors drive magnetization precession in an adjacent in-plane anisotropy CoFeB film and detect the resulting charge currents produced by the inverse spin-orbit torque process through an inductive vector network analyzer measurement. They report torque magnitudes matching those obtained with platinum, in line with first-principles predictions, together with a pronounced dependence of the torque on CoFeB thickness. A sympathetic reader would care because this points to a route for building spintronic devices that rely on more readily integrated ferromagnetic materials rather than scarce heavy metals.

Core claim

The authors show that [Co/Ni] and [Co/Pt] multilayers with large spin-orbit interaction function as torque-generating layers that drive magnetization dynamics in metallic CoFeB films possessing in-plane anisotropy. Using an inductive technique based on a vector network analyzer, they measure the spin dynamics driven by spin-orbit torque together with the concomitant charge current generated by the inverse spin-orbit torque process. The extracted spin-orbit torques reach magnitudes comparable to those produced by platinum and agree with first-principles calculations; the torque strength further exhibits a significant correlation with the thickness of the CoFeB layer.

What carries the argument

Inductive detection via vector network analyzer of the charge current generated by inverse spin-orbit torque when magnetization dynamics are excited in the CoFeB layer.

If this is right

  • Multilayers with perpendicular magnetic anisotropy can replace heavy metals as sources of spin-orbit torque in heterostructure devices.
  • Torque efficiency in these stacks varies systematically with the thickness of the driven ferromagnetic layer.
  • First-principles calculations correctly forecast the observed torque magnitudes in the studied multilayers.
  • A single inductive setup simultaneously accesses both the direct and inverse spin-orbit torque processes.

Where Pith is reading between the lines

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

  • Device stacks could incorporate the torque source directly within the ferromagnetic layers, reducing the need for separate heavy-metal insertions.
  • The observed thickness correlation supplies a practical handle for tuning torque strength by adjusting only the CoFeB layer during fabrication.
  • The same inductive method could be applied to characterize spin-to-charge conversion in other multilayer combinations beyond the two PMA systems tested here.

Load-bearing premise

The inductive signals recorded by the vector network analyzer arise purely from inverse spin-orbit torque rather than from parasitic electromagnetic coupling or eddy currents.

What would settle it

Control samples without the [Co/Ni] or [Co/Pt] multilayers produce inductive signals of comparable magnitude, or the measured torque shows no systematic variation with CoFeB thickness.

Figures

Figures reproduced from arXiv: 2405.15617 by Dongwook Go, Fabian Kammerbauer, Gerhard Jakob, Hassan Al-Hamdo, Mathias Kl\"aui, Mathias Weiler, Misbah Yaqoob, Tom G. Saunderson, Vitaliy I. Vasyuchka, Yuriy Mokrousov.

Figure 1
Figure 1. Figure 1: FIG. 1. Sample growth order and measurement setup. (a) Sample stack with one ferromagnetic PMA layer and one ferro [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Obtained [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Real and imaginary inductances data (symbols) ver [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Even symmetry ( [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Schematics of the process for DFT calculations. [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Calculated values of the SHE conductivities for [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
read the original abstract

The manipulation of magnetization via Magnetic torques is one of the most important phenomena in spintronics. In thin films, conventionally, a charge current flowing in a heavy metal is used to generate transverse spin currents and to exert torques on the magnetization of an adjacent ferromagnetic thin film layer. Here, in contrast to the typically employed heavy metals, we study spin-to-charge conversion in ferromagnetic heterostructures with large spin-orbit interaction that function as the torque-generating layers. In particular, we chose perpendicular magnetic anisotropy (PMA) multilayers [Co/Ni] and [Co/Pt] as the torque-generating layers and drive magnetization dynamics in metallic ferromagnetic thin film $\mathrm{Co_{20}Fe_{60}B_{20}}$ (CoFeB) layers with in-plane magnetic anisotropy (IMA). We investigate the spin dynamics driven by spin-orbit torque (SOT) and the concomitant charge current generation by the inverse SOT process using an inductive technique based on a vector network analyzer. In our experimental findings, we find that the SOTs generated by our multilayers are of a magnitude comparable to those produced by Pt, consistent with first-principles calculations. Furthermore, we noted a significant correlation between the SOT and the thickness of the CoFeB layer.

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

1 major / 0 minor

Summary. The manuscript studies spin-orbit torques (SOT) generated by perpendicular magnetic anisotropy [Co/Ni] and [Co/Pt] multilayers acting on an adjacent in-plane anisotropy CoFeB layer. Magnetization dynamics are driven by SOT and the inverse process is detected inductively with a vector network analyzer; the authors report SOT magnitudes comparable to those from Pt, consistency with first-principles calculations, and a correlation between the measured SOT and CoFeB thickness.

Significance. If the inductive signals can be shown to arise cleanly from inverse SOT, the work would establish PMA multilayers as viable torque sources that avoid conventional heavy-metal layers, potentially simplifying device stacks while maintaining comparable efficiency. The reported thickness dependence would additionally supply a practical design handle.

major comments (1)
  1. [Abstract and experimental methods] Abstract and experimental description: the central claim that the multilayers produce SOTs 'of a magnitude comparable to those produced by Pt' rests on VNA inductive signals being attributable solely to inverse SOT. No reference samples, frequency- or field-dependent subtraction protocols, or symmetry arguments are supplied to exclude direct electromagnetic pickup, eddy-current induction in the metallic stack, or interface charge accumulation. This isolation step is load-bearing for both the magnitude comparison and the thickness-correlation result.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting the importance of rigorously isolating the inverse SOT contribution. We address the major comment below and will revise the manuscript accordingly.

read point-by-point responses

  1. Referee: [Abstract and experimental methods] Abstract and experimental description: the central claim that the multilayers produce SOTs 'of a magnitude comparable to those produced by Pt' rests on VNA inductive signals being attributable solely to inverse SOT. No reference samples, frequency- or field-dependent subtraction protocols, or symmetry arguments are supplied to exclude direct electromagnetic pickup, eddy-current induction in the metallic stack, or interface charge accumulation. This isolation step is load-bearing for both the magnitude comparison and the thickness-correlation result.

    Authors: We agree that the manuscript would benefit from explicit controls and isolation protocols to strengthen the attribution of the VNA signals to inverse SOT. In the revised version we will add (i) measurements on reference samples consisting of the CoFeB layer alone (without the PMA multilayer) to quantify and subtract background contributions from direct electromagnetic pickup and eddy currents, (ii) a discussion of frequency- and field-dependent subtraction procedures, and (iii) symmetry arguments based on the expected angular and polarity dependence of the inverse SOT signal versus other mechanisms such as interface charge accumulation. These additions will directly support both the magnitude comparison to Pt and the reported CoFeB-thickness correlation. revision: yes

Circularity Check

0 steps flagged

No circularity: experimental measurement with external comparison

full rationale

The paper reports direct inductive VNA measurements of SOT-driven dynamics and inverse-SOT charge currents in CoFeB layers driven by [Co/Ni] and [Co/Pt] multilayers. The central claims (SOT magnitude comparable to Pt; thickness correlation) are presented as experimental observations, with consistency to first-principles calculations cited as external support rather than a derivation step. No equations, fitted parameters, or self-citation chains are shown that would reduce any result to its own inputs by construction. The work is self-contained as a measurement study against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, axioms, or invented entities are stated. The measurement interpretation rests on standard spintronics assumptions about signal isolation.

axioms (1)
  • domain assumption Inductive VNA signals can be attributed exclusively to inverse SOT without significant contributions from other electromagnetic or interface phenomena.
    Required to interpret measured voltages as evidence of SOT magnitude and thickness dependence.

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