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REVIEW 3 major objections 4 minor 58 references

Anisotropic magnon spin transport in CrPS$_4$

T0 review · 3 major / 4 minor · reviewed 2026-08-12 · deepseek-v4-flash

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Pith's one-line read Electrically driven magnons in CrPS4 travel at least 2.7 times farther along the b-axis than the a-axis, so crystal orientation can steer magnon spin currents.

desk verdict Real anisotropic magnon transport effect in CrPS4, but the 'at least 2.7×' diffusion-length claim overstates the combined-sample fit; the same-flake data support a 2.2× effect. read the letter →

arxiv 2608.10802 v1 pith:UBH52BYC submitted 2026-08-11 cond-mat.mes-hall cond-mat.mtrl-sciquant-ph

Krishnaraajan Sundararajan , Muhammad Zohaib , Yulia Kreminska , Sytze H. Tirion , Bart J. van Wees This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.mtrl-sciquant-ph
keywords magnonspintransportdiffusionlengthconductivityCrPS4vanderWaalsantiferromagnetcrystalanisotropySeebeckeffectthermal
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

In the layered antiferromagnet CrPS4, magnons—the quanta of magnetic spin waves—carry spin currents whose range and conductance depend on which crystallographic direction they travel. This paper claims that electrically injected magnons diffuse at least 2.7 times farther and with at least 2.2 times higher spin conductivity along the crystallographic b-axis than along the a-axis, with spin diffusion lengths $\lambda_m^b \geq 575$ nm and $\lambda_m^a \approx 211$ nm at 25 K. The same crystal anisotropy shows up in the thermally excited signal, which is about 7 times larger along b at 8 T, but the paper argues that thermal data alone cannot yield clean transport parameters because the temperature profile and heat conductivity of CrPS4 are themselves anisotropic. If the claim holds, the crystal lattice becomes a built-in compass for magnon spin currents, a practical control knob for directional magnonic devices.

What carries the argument

The load-bearing measurement is the lateral nonlocal geometry: a platinum strip injects a spin current via the spin Hall effect, magnons diffuse through CrPS4, and a second platinum strip detects the arriving spin current via the inverse spin Hall effect. The analysis runs through the diffusive transport relation $R_{\mathrm{NL}} = \sigma_m t_{\mathrm{CPS}} \eta_{\mathrm{Pt}}^2 \, \mathrm{csch}(d/\lambda_m)/\lambda_m$, which converts the decay of the nonlocal first-harmonic resistance with injector–detector spacing $d$ into the magnon spin conductivity $\sigma_m$ and the magnon spin diffusion length $\lambda_m$. Its anisotropic extension, a conductivity tensor diagonal in the a/b crystal axes, predicts that transport along an oblique direction produces both longitudinal and transverse magnon spin currents. Local 3$\omega$ and nonlocal thermometry supply the complementary piece, showing $\kappa_{bb} < \kappa_{aa}$, which is needed to separate thermal from magnonic anisotropy in the spin Seebeck channel.

What would settle it

Measure the nonlocal first-harmonic decay on CrPS4 flakes thinner than 20 nm and on devices with a different interface metal; if $\lambda_b/\lambda_a$ or $\sigma_b/\sigma_a$ shrinks toward 1 while the crystal axes are unchanged, the anisotropy is not an intrinsic bulk property. A more direct check would be to measure the Pt/CrPS4 spin-mixing conductance along both axes and see whether it is anisotropic by a comparable factor.

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Extended reading notes

Core claim

In the monoclinic van der Waals antiferromagnet CrPS4, where ferromagnetic layers stack antiferromagnetically, electrically injected magnons diffuse anisotropically once the magnetic field drives the spins into a collinear state above the spin-flop transition. From the distance dependence of the nonlocal first-harmonic resistance, the authors extract magnon spin conductivities and spin diffusion lengths along the two principal in-plane axes, finding $\sigma_m^b/\sigma_m^a \geq 2.2$ and $\lambda_m^b/\lambda_m^a \geq 2.7$, with $\lambda_m^a \approx 211$ nm and $\lambda_m^b \geq 575$ nm. Because the easy axis lies along the c-axis, perpendicular to the propagation plane, the anisotropy cannot come from the orientation of the easy axis; the authors attribute it to the strongly anisotropic in-plane exchange couplings. The paper also shows that the nonlocal second-harmonic resistance from thermally excited magnons is about 7 times larger along b at 8 T and 25 K, but argues that extracting a diffusion length from this signal would be unreliable because the response convolves the extended temperature profile with magnon transport. Thermometry measurements give $\kappa_{bb} < \kappa_{aa}$, so the thermal gradient that drives the spin Seebeck response is itself anisotropic. The authors conclude that electrical injection and detection provides the unambiguous transport channel, and that the anisotropic magnon spin conductivity tensor implies transverse magnon spin currents for off-axis gradients, a magnon analog of the planar Hall and transverse Seebeck effects.

Load-bearing premise

The numbers rest on the assumption that the Pt/CrPS4 contact lets spins through equally along the a and b axes and that flake thickness between 40 and 64 nm does not change the diffusion length; if either fails, part of the reported anisotropy could come from the interface or the sample rather than from the bulk crystal.

Editorial extensions

If this is right

  • A single CrPS4 flake can act as a directional magnon channel: with both spin conductivity and diffusion length larger along b, the orientation of the crystal axes relative to the injector–detector line sets how much spin current arrives.
  • Thermally driven nonlocal spin Seebeck measurements of CrPS4, including the previously reported 1.6 µm diffusion length, overestimate $\lambda_m$ because the response is a convolution of magnon diffusion with an extended, anisotropic temperature profile rather than pure magnon transport.
  • Because $\kappa_{bb} < \kappa_{aa}$, the roughly 7 times larger second-harmonic signal along b at 8 T is not evidence for an equally large anisotropy in the spin Seebeck coefficients; separating the two requires the full thermal conductivity tensor.
  • An oblique magnon chemical potential gradient should generate a transverse magnon spin current from the lattice anisotropy alone, giving CrPS4 a magnon analog of the planar Hall and transverse Seebeck effects.
  • Gate-tunable magnetism in CrPS4 combined with this intrinsic directional anisotropy opens a route to electrically switching or steering magnon spin transport in one material.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The transverse magnon current predicted by the anisotropic conductivity tensor has not been measured here; a detector placed off-axis from the injector would directly test Eq. 3 and would separate a bulk tensor effect from any interface anisotropy.
  • The reported neutron-scattering exchange constants make a quantitative consistency check possible: if the Ref. [37] scaling $\sigma_m \propto J_S$ and $\lambda_m \propto \sqrt{J_S}$ holds, the a/b ratios of $\sigma_m$ and $\lambda_m^2$ should track the relevant exchange-stiffness anisotropy, so future work could identify which CrPS4 bonds control relaxation.
  • The off-axis sample S5, only 14.7 nm thick, yields $\lambda \approx 216$ nm despite its oblique orientation, closer to the a-axis value than the b-axis value; the $\lambda_m^b \geq 575$ nm bound may therefore hold only for flakes in the 40–64 nm range, and thickness-dependent measurements would show whether the anisotropy ratio survives in the ultrathin limit.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. The manuscript reports nonlocal magnon spin transport measurements on the van der Waals antiferromagnet CrPS4 at 25 K, with Pt injector/detector strips aligned to the crystallographic a and b axes. From distance-dependent first-harmonic nonlocal resistances the authors extract magnon spin diffusion lengths λ_a ≈ 211 nm and λ_b ≥ 575 nm, and magnon spin conductivities whose ratio σ_b/σ_a is at least 2.2; the same-flake S1 data give σ_b/σ_a = 2.22 ± 0.90 and λ_b/λ_a = 2.22 ± 0.89, while the combined-sample fit gives λ_b/λ_a = 2.72 ± 0.96. Thermally excited nonlocal second-harmonic resistances are larger along b by a factor of about 7 at 8 T on S1, but the authors argue that an extended temperature profile and anisotropic thermal conductivity (κ_bb < κ_aa, established by 3ω and nonlocal thermometry) prevent reliable extraction of λ_m or of the spin Seebeck anisotropy from the second-harmonic data. The first-harmonic anisotropy is interpreted as originating from the anisotropic in-plane exchange couplings J1, J2, J3 obtained from neutron scattering.

Significance. If the central anisotropy claim survives scrutiny, the paper establishes crystalline exchange anisotropy as a control parameter for magnon spin currents and introduces a magnonic analogue of anisotropic, planar-Hall-like transport. The manuscript has several genuine strengths: the b-axis values of λ_m and σ_m are explicitly treated as lower bounds; the ordinary Nernst effect is excluded by comparing local and nonlocal second-harmonic signs; the interpretation invokes independent neutron-scattering exchange constants rather than transport-derived parameters; and the thermometry data are internally consistent and support κ_bb < κ_aa. The authors also correctly warn against extracting λ_m from nonlocal SSE data. These elements make the qualitative conclusion—larger magnon spin transport along b than along a—plausible and worth publishing after revision. However, the headline quantitative claim 'spin diffusion length at least 2.7 times longer along b' is not supported as stated, and the interface-isotropy assumption underlying the σ_m extraction is not tested.

major comments (3)
  1. [Abstract; §4 (Fig. 4); Supplemental V C, Table S2] The abstract claims a spin diffusion length 'at least 2.7 times longer' along b, with λ_m^a ~ 211 nm and λ_m^b ≥ 575 nm. This ratio is not a conservative statement. The same-flake comparison on S1 gives λ_b/λ_a = 606/273 = 2.22 ± 0.89, not 2.7. The combined fit that yields 2.72 ± 0.96 assumes λ_m is independent of CrPS4 thickness in the 40–64 nm range, yet Table S2 shows λ_a = 273 ± 25.7 nm for S1 (64 nm) and λ_a = 165 ± 33 nm for S3 (40 nm), which disagree at roughly the 2.5σ level; the off-axis sample S5 (14.7 nm) gives λ = 216 ± 44 nm, far below the angular-model prediction (~468 nm), and the authors attribute this to thickness effects. Even using the reported λ_b lower bound (575 nm) together with the 95% upper bound of λ_a (211 + 72 = 283 nm), the ratio lower bound is about 2.03, so 'at least 2.7' is not supported. The abstract and conclusion should be revised to quote either the same-flake ratio with its uncertainty or a lower bound computed with the upper bound on λ_a.
  2. [Eq. (2); Supplemental V A; Supplemental I] Equation (2) and the extraction of σ_m and λ_m assume a negligible and isotropic interfacial spin resistance at the Pt/CrPS4 interface, with the Pt detector acting as an ideal magnon sink. The manuscript itself states that dc sputtering of Pt removes the top CrPS4 layers and forms an interfacial PtS_x layer (Supplemental I, Ref. S1), but no test is provided for whether the interface transparency or spin-mixing conductance is isotropic along the a and b directions. If the interface is anisotropic, the reported σ_b/σ_a ≥ 2.2 would be partly an interface artifact. The authors should either provide an interface-controlled test or explicitly qualify the σ_m anisotropy as a lower bound that assumes an isotropic interface.
  3. [Table S1; §4 ('same-flake' comparison)] Table S1 lists t_CrPS4 = 64 nm for the S1 (k∥a) electrodes and 52.9 nm for the S1 (k∥b) electrodes, while the main text describes S1 as a single CrPS4 flake used to reduce device-to-device variations. If the two electrode sets are on the same flake, the thickness should be identical; if the flake has a step or the thickness differs between the two measured regions, the 'same-flake' comparison and the extraction of σ_m (through C = σ_m t_CrPS4 η_Pt²) need to be re-stated with this caveat. Please clarify whether the quoted σ_m values account for the local thickness at each electrode set, and whether the λ ratio on S1 is affected by the different thicknesses.
minor comments (4)
  1. [§4, Eq. (4)] Equation (4) appears to have a typographical error: the second term should read (λ_m^b)^2 sin²θ rather than λ_m^b sin²θ.
  2. [§4, 'Nonlocal first-harmonic response'] The sentence 'the magnon spin diffusion length is does not vary significantly...' contains a grammatical error and should read 'does not vary significantly'.
  3. [Fig. 4 and Fig. S6] The figures and captions display 'λ_b = 575 nm' where the text consistently states 'λ_b ≥ 575 nm'; the inequality should be shown in the figures for consistency.
  4. [Supplemental V D] The discussion of Fig. S6 would be easier to follow if the fitted curves for fixed λ_b values were shown with confidence bands, so that the reader can see how similar the fit quality is for λ_b = 600 nm and λ_b = 1250 nm.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity; fitted transport parameters are derived from distance-dependent measurements, not defined into existence.

full rationale

The central quantities sigma_m and lambda_m are extracted from Eq. 2 (R_NL = sigma_m t_CPS eta_Pt^2 lambda_m csch(d/lambda_m)) by two-parameter fits to independent distance-dependent nonlocal resistances. The anisotropy ratios are then computed from those extracted values, not fitted as inputs. The transport model is cited to prior work, but it is an externally established diffusive model and does not depend on a self-citation to forbid alternatives. The off-axis prediction is tested against sample S5 and honestly reported as inconsistent, which further indicates that the model is falsifiable rather than circular. The interpretive link to exchange anisotropy uses independent neutron-scattering constants. The acknowledged limitations, including the modified Pt/CrPS4 interface, possible thickness dependence, and non-saturating b-axis signal, are uncertainty concerns rather than constructional circularity. Therefore no derivation step reduces a prediction to its own inputs.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central claims rest on the standard diffusive magnon transport model, on an untested assumption of transparent and isotropic Pt/CrPS4 interfaces, and on the assumption that the magnon diffusion length is independent of flake thickness over the measured range. Four fitted transport parameters capture the anisotropy; no new entities are introduced.

free parameters (4)
  • lambda_m^a (magnon spin diffusion length along a-axis) = 211 ± 72 nm
    Extracted from combined distance dependence of nonlocal first-harmonic resistance in samples S1 and S3 via csch fit.
  • lambda_m^b (magnon spin diffusion length along b-axis) = 575 nm (lower bound)
    Extracted from combined distance dependence in samples S1, S2, S4; data consistent with 1/d decay, so true value may be larger.
  • sigma_m^a (magnon spin conductivity along a-axis) = 1.24 x 10^5 S/m (S1)
    Obtained from prefactor C after fixing lambda_m^a = 211 nm; other samples give 0.72 to 0.88 x 10^5 S/m.
  • sigma_m^b (magnon spin conductivity along b-axis) = 2.76 x 10^5 S/m (S1)
    Obtained from prefactor C after fixing lambda_m^b = 575 nm; note sigma_b does not saturate at 8T, so this is a lower bound.
assumptions (4)
  • domain assumption The nonlocal first-harmonic resistance follows R_NL = (sigma_m t_CPS eta_Pt^2 / lambda_m) csch(d/lambda_m) with negligible interfacial spin resistance.
    Inherited from Refs [3,4,37]; assumes transparent, isotropic Pt/CrPS4 interface and ideal magnon sink at detector. Invoked at Eq. (2) and Supplemental V.A.
  • ad hoc to paper The magnon spin diffusion length is independent of CrPS4 thickness in the 40-64 nm range.
    Stated in main text to justify combining samples; contradicted by sample S5 (14.7 nm, lambda = 216 nm), which is instead attributed to thickness effects.
  • domain assumption The observed first- and second-harmonic signals are dominated by bulk magnon transport rather than interfacial or thermoelectric artifacts.
    Supported by angular dependence, frequency/bias checks, and exclusion of ordinary Nernst effect, but not by a direct interface characterization.
  • domain assumption Crystallographic axes were determined from cleavage edge angles.
    Following Ref [39]; small angular offsets gamma are reported, so this appears reasonable.

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Cite this review

Pith. "Pith review of Anisotropic magnon spin transport in CrPS$_4$." pith.science (2026). https://pith.science/paper/UBH52BYC

@misc{pith2026260810802,
  author       = {Pith},
  title        = {Pith review of: Anisotropic magnon spin transport in CrPS$_4$},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/UBH52BYC}},
  note         = {Machine review of arXiv:2608.10802}
}
abstract

Crystal anisotropy provides a powerful route for realizing direction-dependent transport in solid-state systems. While its influence on electronic transport is well established, the role of anisotropy in magnon spin transport in van der Waals magnets is largely unexplored. Here, in a nonlocal geometry, utilizing the monoclinic van der Waals antiferromagnet CrPS$_4$, we observe pronounced anisotropy in both electrically and in thermally excited magnon spin transport. Electrically generated magnons exhibit a magnon spin conductivity at least 2.2 times larger and a spin diffusion length at least 2.7 times longer for transport along the crystallographic-b axis compared to the crystallographic-a axis, where $\lambda_m^{a} \sim$ 211 nm and $\lambda_m^{b} \geq$ 575 nm. In comparison, at 8T, we find the nonlocal second-harmonic resistance associated with thermally excited magnons to be $\sim$7 times larger along the crystallographic-b axis at 25K. We further show that a magnon spin diffusion length cannot be reliably extracted from the nonlocal second-harmonic resistance, owing to the extended temperature profile within CrPS$_4$. Likewise, we show that the anisotropy in the spin Seebeck coefficients cannot be reliably estimated from the thermally excited magnon spin transport alone, as it is intertwined with the anisotropic heat conductivity of CrPS$_4$. Utilizing the electrically generated magnon spin transport, we demonstrate that intrinsic crystalline anisotropy serves as an effective control parameter for tuning magnon spin transport, opening new avenues for magnonic device engineering.

Figures

Figures reproduced from arXiv: 2608.10802 by the authors.

Figure 1
Figure 1. FIG. 1. a) Crystal structure of CrPS4. (Left) View in the [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Magnetic field dependence of the local second [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Magnetic field dependence of the nonlocal first [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figures from the paper (4 more)
Figure 4
Figure 4. Figure 4: FIG. 4. The normalized nonlocal first-harmonic resistance [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. Magnetic field dependence of the nonlocal second [PITH_FULL_IMAGE:figures/full_fig_p008_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. The magnetic field dependence of a) the nonlocal first-harmonic resistances and b) nonlocal second-harmonic resistances [PITH_FULL_IMAGE:figures/full_fig_p009_6.png]
Figure 7
Figure 7. Figure 7: FIG. 7. a) (left) Schematic of the local 3 [PITH_FULL_IMAGE:figures/full_fig_p010_7.png]

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Pith tools

Reviewed August 12, 2026 · model on record in the stance chip above.