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arxiv: 2605.13805 · v1 · submitted 2026-05-13 · ❄️ cond-mat.mtrl-sci

Recognition: unknown

Chiral molecule-induced contributions to ferromagnetic resonance

Abhishek Singh, Aleksandra Lindner, Anna Lewandowska-Andralojc, Anna Semisalova, Jurgen Lindner, Kilian Lenz, Olav Hellwig, Pedro Contreras-Gallardo, Rodolfo Gallardo, Ruslan Salikhov

Authors on Pith no claims yet

Pith reviewed 2026-05-14 17:36 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords chiral moleculesferromagnetic resonancemagnetization dynamicsCISSspin selectivityCo/Ni multilayersperpendicular magnetic anisotropy
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0 comments X

The pith

Chiral molecular interfaces produce no measurable effect on ferromagnetic resonance in Co/Ni multilayers

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

The paper examines whether chiral molecules at interfaces influence the dynamic magnetization response in thin films with perpendicular anisotropy. Broadband ferromagnetic resonance measurements compare bare Co/Ni reference films to hybrid samples functionalized with chiral molecules and detect no shifts in resonance field or linewidth attributable to the chiral environment. The authors develop a macrospin description that separates equilibrium modifications to the magnetic free-energy landscape from non-equilibrium spin torques arising from chirality-induced spin selectivity. This framework supplies explicit criteria to isolate energy-landscape effects from torque effects in resonance data.

Core claim

Chiral molecule functionalization produces no measurable changes in either the resonance field or the linewidth of perpendicularly magnetized Co/Ni multilayers. The macrospin analysis shows that equilibrium modifications alter the resonance condition through the free-energy landscape and effective field, whereas damping-like non-equilibrium torques modify the effective damping rate, yielding clear experimental criteria to distinguish the two classes of chiral-interface contributions.

What carries the argument

Macrospin description that distinguishes equilibrium modifications of the magnetic free-energy landscape from non-equilibrium CISS-induced spin torques

If this is right

  • Equilibrium modifications primarily shift the resonance condition via changes to the free energy landscape and thereby the effective field.
  • Damping-like non-equilibrium torques provide a distinct channel for varying the effective damping rate.
  • The approach supplies clear criteria for disentangling chiral-interface-induced energy modifications from torque-driven dynamical effects in ferromagnetic resonance experiments.

Where Pith is reading between the lines

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

  • The null result suggests chiral effects in these multilayers may be confined to static properties or require probes more sensitive than standard FMR linewidth.
  • Application of the same separation to other magnetic systems could test whether CISS torques appear under different driving conditions or material stacks.
  • Direct comparison with static magnetometry on the same samples would clarify whether equilibrium energy changes are detectable outside resonance.

Load-bearing premise

Any chiral-interface effects would appear as shifts in resonance field or linewidth rather than in other unmeasured quantities, and sample preparation introduces no confounding changes in anisotropy or damping unrelated to chirality.

What would settle it

Observation of a statistically significant difference in resonance field or linewidth between bare and molecule-functionalized samples, or detection of torque-driven changes in effective damping under controlled excitation conditions.

Figures

Figures reproduced from arXiv: 2605.13805 by Abhishek Singh, Aleksandra Lindner, Anna Lewandowska-Andralojc, Anna Semisalova, Jurgen Lindner, Kilian Lenz, Olav Hellwig, Pedro Contreras-Gallardo, Rodolfo Gallardo, Ruslan Salikhov.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic representation of equilibrium and non [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Schematic representation of the sample layout. The [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Extinction spectra of the three samples FM, FM/L, and FM/D. The inset shows the corresponding normalized [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. FMR frequency-field dependences for oop (circles) and ip (triangles) field direction of the samples with (a) L-enantiomer [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Frequency-dependence of the linewidth for field in (a,b) oop direction and (c,d) ip direction. Open symbols depict the [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (a) FMR frequency-field dependence and (b) resonance linewidth for the the L-enatiomer and two field directions [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Vector fields plotted on the [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Schematic representation of different cases consid [PITH_FULL_IMAGE:figures/full_fig_p013_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Calculated changes to the FMR linewidth of a thin [PITH_FULL_IMAGE:figures/full_fig_p015_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Calculated changes to the FMR resonance condition [PITH_FULL_IMAGE:figures/full_fig_p016_10.png] view at source ↗
read the original abstract

Despite extensive research on chirality-driven spin selectivity, most studies have focused on static magnetic properties, while the influence of chirality on the dynamic magnetic response remains largely unexplored. Here, we investigate how chiral molecular interfaces affect magnetization dynamics in thin Co/Ni multilayers with perpendicular magnetic anisotropy using broadband ferromagnetic resonance spectroscopy. A comparison between bare (reference) films and molecule-functionalized (hybrid) samples reveals no measurable changes in either the resonance field or the linewidth that could be attributed to the presence of the chiral environment. Motivated by our findings we develop a macrospin description that distinguishes equilibrium modifications of the magnetic free-energy landscape (MIPAC-type effects) from non-equilibrium, CISS-induced spin torques. Our analysis shows that equilibrium modifications primarily shift the resonance condition via changes to the free energy landscape and thereby the effective field, whereas damping-like non-equilibrium torques provide a distinct channel for varying the effective damping rate. This approach establishes clear criteria for disentangling chiral-interface-induced energy modifications from torque-driven dynamical effects in ferromagnetic resonance experiments.

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 / 1 minor

Summary. The manuscript reports broadband FMR measurements on perpendicularly magnetized Co/Ni multilayers, comparing bare reference films to chiral-molecule-functionalized hybrid samples. It finds no measurable shifts in resonance field or linewidth attributable to the chiral interface. Motivated by this null result, the authors introduce a macrospin model that separates equilibrium modifications to the magnetic free-energy landscape from non-equilibrium damping-like torques arising from CISS.

Significance. If the null result is robust, the work supplies useful negative evidence on the magnitude of chiral-interface effects in dynamic magnetization response and supplies a clear theoretical distinction between equilibrium (free-energy) and non-equilibrium (torque) channels. This framework can guide the design of future FMR experiments aimed at detecting or bounding CISS contributions.

major comments (2)
  1. [Experimental results (comparison of resonance field and linewidth)] The central claim of no chiral-induced changes rests on the assumption that bare and hybrid samples are otherwise identical in their magnetic free-energy landscape and Gilbert damping. No independent magnetometry, XRD, or AFM data are presented to confirm that molecule deposition introduces no confounding changes in anisotropy or damping at the level of the FMR linewidth resolution.
  2. [Theoretical analysis section] The macrospin model is introduced to distinguish MIPAC-type equilibrium shifts from non-equilibrium torques, but the explicit derivation of the modified resonance condition (effective field) and the expression for the effective damping rate from the added torque terms is not shown, preventing quantitative assessment of the predicted signatures.
minor comments (1)
  1. [Abstract] The acronym MIPAC is used without expansion on first appearance.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments and positive assessment of the significance of our null-result findings. We address each major comment below, indicating the revisions we will make to strengthen the manuscript.

read point-by-point responses
  1. Referee: [Experimental results (comparison of resonance field and linewidth)] The central claim of no chiral-induced changes rests on the assumption that bare and hybrid samples are otherwise identical in their magnetic free-energy landscape and Gilbert damping. No independent magnetometry, XRD, or AFM data are presented to confirm that molecule deposition introduces no confounding changes in anisotropy or damping at the level of the FMR linewidth resolution.

    Authors: We agree that independent characterization would strengthen the claim that observed differences (or lack thereof) arise solely from the chiral interface. All films were grown in a single deposition run under identical conditions, with molecule deposition performed in a controlled glovebox environment on identically prepared substrates. The broadband FMR data themselves are highly sensitive to small variations in anisotropy and damping; any confounding changes at the level of our linewidth resolution would have produced detectable shifts or broadening across the measured frequency range. In the revised manuscript we will expand the methods section with a detailed account of sample preparation and measurement protocols, include any available AFM or XRD data from companion samples, and add a brief discussion of the FMR sensitivity limits to argue that significant confounding effects are inconsistent with the reported consistency of the resonance fields and linewidths. revision: partial

  2. Referee: [Theoretical analysis section] The macrospin model is introduced to distinguish MIPAC-type equilibrium shifts from non-equilibrium torques, but the explicit derivation of the modified resonance condition (effective field) and the expression for the effective damping rate from the added torque terms is not shown, preventing quantitative assessment of the predicted signatures.

    Authors: We agree that the explicit derivations are necessary for quantitative assessment. In the revised manuscript we will insert a new subsection that starts from the Landau-Lifshitz-Gilbert equation augmented by the equilibrium free-energy modification (MIPAC-type term) and the non-equilibrium CISS torque. We will derive the modified resonance condition by linearizing around equilibrium and obtaining the effective field, and we will obtain the expression for the effective damping rate by projecting the torque onto the precessional motion. The key algebraic steps and resulting analytic expressions will be shown explicitly. revision: yes

Circularity Check

0 steps flagged

No circularity: standard macrospin model applied to null-result data

full rationale

The paper reports a direct experimental comparison of resonance field and linewidth between bare and molecule-functionalized Co/Ni films, finding no measurable difference. It then introduces a macrospin description based on the Landau-Lifshitz-Gilbert equation augmented with equilibrium free-energy modifications and damping-like torques. These additions follow from established torque terms in the LLG equation and do not reduce by construction to parameters fitted from the same FMR dataset. No self-citation chain, uniqueness theorem, or ansatz smuggling is invoked to justify the central null-result claim or the model distinction. The derivation chain is therefore self-contained against external benchmarks of FMR theory.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The description rests on the standard macrospin approximation and the assumption that chiral effects enter either through static free-energy terms or through damping-like torques; no new free parameters, axioms beyond domain standards, or invented entities are introduced.

axioms (1)
  • domain assumption Magnetization dynamics of the thin film can be described by a single macrospin vector
    Invoked to derive distinct signatures for equilibrium energy shifts versus non-equilibrium torques.

pith-pipeline@v0.9.0 · 5521 in / 1283 out tokens · 62354 ms · 2026-05-14T17:36:29.387172+00:00 · methodology

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Reference graph

Works this paper leans on

50 extracted references · 1 canonical work pages · 1 internal anchor

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    (15) on Eq

    Damping-like torque Using the vector identity from Eq. (15) on Eq. (23), we get τDL = ˆσ− ˆm( ˆm· ˆσ).(25) For ˆσ=− ˆz, this becomes τDL =− ˆz+ cosθ ˆm.(26) In Cartesian components, τDL =   cosθsinθcosφ cosθsinθsinφ −1 + cos2 θ   .(27) Its magnitude is|τ DL|= sinθ, so that one can write τDL = sinθ   cosθcosφ cosθsinφ −sinθ   = sinθˆ eθ,(28) wh...

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    Field-like torque For ˆσ=− ˆzthe field-like torque can be expressed in Cartesian components as τFL =   −sinθsinφ sinθcosφ 0   .(30) Its magnitude is|τ FL|= sinθ, which is equal to|τ DL|, and therefore τFL = sinθ   −sinφ cosφ 0   = sinθˆ eφ,(31) where ˆeφ is the azimuthal unit vector. This implies that τFL is purely tangential, ˆm·τ FL = 0.(32)...

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    in the ab- sence of spin torques, d ˆm dt = 0 requires ˆm×H eff = 0, which enforces collinearity between ˆmandH eff

    Stationary state and linearization The stationary magnetization direction ˆm0 is defined by the condition of vanishing total torque, d ˆm dt ˆm= ˆm0 = 0.(34) In case of purely conservative dynamics, i.e. in the ab- sence of spin torques, d ˆm dt = 0 requires ˆm×H eff = 0, which enforces collinearity between ˆmandH eff. Since Heff =− 1 µ0Ms ∂F/∂ ˆm, this c...

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    (41) In this basis, the linear operator ˆLrestricted to the tan- gent plane is represented by the dynamic matrix

    Local transverse dynamics As discussed in detail in Appendices B and C, by in- troducing the local orthonormal basis{ ˆe1, ˆe2, ˆe3}with ˆe3 = ˆm0 and δm=m 1 ˆe1 +m 2 ˆe2,(40) the linearized equation (36) reduces, after projection onto the transverse plane, to ˙m1 ˙m2 ! =γµ 0 −αH1 − cDL γ σ3 −H2 + cFL γ σ3 H1 − cFL γ σ3 −αH2 − cDL γ σ3 ! m1 m2 ! . (41) In...

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    These expressions clearly separate the roles of the two spin-torque components

    Eigenvalues and physical interpretation Retaining only terms to first order inα,c DL, andc FL, and neglecting products of these quantities, the eigenval- ues of the dynamic matrix are λ=− h γµ0α 2 (H1 +H 2) +c DLσ3 i ±i γµ0 p H1H2 − cFLσ3 2 H1 +H 2√H1H2 .(43) We thus identify the decay rate Γ = γµ0α 2 (H1 +H 2) +c DLσ3,(44) and the resonance frequency ω=γ...

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    Thus, the Landau–Lifshitz field torque is strictly conservative: it generates motion along constant-energy trajectories on the unit sphere

    Landau–Lifshitz field torque The precessional Landau–Lifshitz torque is given by d ˆm dt prec =−γ ˆm×H eff.(47) Its contribution to the energy change reads dF dt prec =−µ 0Ms Heff ·(−γ ˆm×H eff) =γµ 0Ms Heff ·( ˆm×H eff) = 0,(48) sinceH eff ·( ˆm×H eff) = 0. Thus, the Landau–Lifshitz field torque is strictly conservative: it generates motion along constan...

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    It can therefore be absorbed into the effective field and be- haves like a conservative contribution

    Field-like torque The field-like torque contributes d ˆm dt FL =c FL ˆm× ˆσ.(49) This term is mathematically equivalent to precession in an additional effective field directed along ˆσ. It can therefore be absorbed into the effective field and be- haves like a conservative contribution. Equivalently, it may be associated with an additional Zeeman-like fre...

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    Landau–Lifshitz damping For the damping term, we obtain dF dt LL =γαµ 0Ms Heff · ˆm×( ˆm×H eff) .(50) Using Eq. (15) we find dF dt LL =γαµ 0Ms ( ˆm·H eff)2 − |Heff|2 .(51) Using [38] | ˆm×H eff|2 =|H eff|2 −( ˆm·H eff)2,(52) this becomes dF dt LL =−γαµ 0Ms | ˆm×H eff|2 ≤0.(53) The Landau–Lifshitz damping term is strictly dissipative, always reducing the m...

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    In particular, for Heff ∥ ˆσone obtains dF dt DL =−µ 0MscDL sin2 θ,(56) which vanishes only at the poles

    Damping-like torque For the damping-like contribution, d ˆm dt DL =c DL − ˆm×( ˆm× ˆσ) ,(54) the energy change becomes dF dt DL =−µ 0MscDL h Heff · ˆσ−( ˆm· ˆσ)(Heff · ˆm) i .(55) This expression is nonzero in general. In particular, for Heff ∥ ˆσone obtains dF dt DL =−µ 0MscDL sin2 θ,(56) which vanishes only at the poles. The damping-like torque is there...

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    For a system governed by LL damping, according to Eqs

    Relation between LL damping and FMR linewidth At this point, we need to make a short statement about the connection between the intrinsic damping (rate) and the measured FMR linewidth. For a system governed by LL damping, according to Eqs. (44) and (45) the decay rate of the uniform mode in the linearized regime is Γ = γµ0α 2 (H1 +H 2),(57) while the reso...

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    Spin-polarization geometries The effect of the spin torque depends on the projection of ˆσonto ˆm0: (i) ˆσ∥ ˆm0 (parallel), (ii) ˆσ∥ − ˆm0 (antiparallel), (iii) ˆσ⊥ ˆm0 (transverse). These cases depicted in Fig. 8 are independent of whether the magnetization is oriented in- or out-of-plane. Parallel and antiparallel configurationsFor ˆσ∥ ± ˆm0, one has ˆm...

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