{"id":"1ed908b1-b124-4f23-a5f6-4186c0db5207","arxiv_id":"2504.12219","paper_version":1,"verdict":"ACCEPT","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"In magnetic nanotubes, interfacial Dzyaloshinskii-Moriya interaction combines with exchange and dipolar fields to produce analytic, sign-dependent spin-wave nonreciprocity along the tube and chirality of azimuthal standing modes.","lead":"This paper derives analytical formulas for how Dzyaloshinskii-Moriya interaction and curvature shape spin-wave frequencies in magnetic nanotubes. The formulas predict which propagation directions and standing modes become nonreciprocal, which is relevant for three-dimensional magnonics.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Central Δf formula rests on the midpoint-forced skew-symmetry of the exact dipolar off-diagonal tensor; the error is unquantified at R=40 nm, a=35 nm.","rationale":"The paper is internally consistent, reduces to the known planar and D=0 limits, and is careful about many of its assumptions, so outright rejection is not warranted. The reader's weakest-assumption analysis already identified the midpoint approximation in Appendix B and the DMI model of Eq. (A1); I agree that these are the soft points. Of the two, the dipolar skew-symmetry condition is the more load-bearing internal step because Eq. (17) is linear in the off-diagonal tensor elements, and the exact B4 expressions do not satisfy the relation imposed in B6c. For the paper's own parameters the shell thickness is a substantial fraction of the radius, so the relevant dimensionless small parameter is not very small, and the text provides no estimate of the error. Since the DMI and dipolar contributions to the frequency shift are of similar magnitude in the plotted range, even a moderate error can change quantitative, and in some regimes qualitative, conclusions about chirality. The proposed numerical test is straightforward and would determine whether the approximation is safe. The verdict should therefore be CONDITIONAL: accept the analytical framework, but require the exact-dipolar comparison before the closed-form nonreciprocity expressions are taken as quantitative. If the check passes with small discrepancy, the reader's original ACCEPT is fully justified.","tokens_in":18133,"tokens_out":22703,"duration_ms":228439,"concrete_test":"Evaluate the exact dipolar tensor in Eqs. (B4a)-(B4d) numerically for the paper's parameters (Permalloy; R=40 nm, a=35 nm; θ=0 and π/2; l=0, ±1; k from 0 to 50 rad/µm), without the midpoint replacement. Use these elements in the 2×2 eigenvalue problem of Eq. (4) to compute Δf = f(k,l) − f(−k,−l), and compare with Eq. (17) using the approximate I0, I1, I2 from Eqs. (B11)-(B12). If the relative discrepancy in Δf exceeds a few percent of the DMI term over the plotted range, the closed-form nonreciprocity formulas are not quantitatively reliable and a corrected finite-thickness treatment is required.","verdict_should_be":"CONDITIONAL","load_bearing_attack":"Eq. (5) yields the compact dispersion only after imposing Λρχ = −Λχρ. For the dipolar tensor this relation is an artifact of the midpoint radial integration: the exact elements in Eqs. (B4b) and (B4c) are not skew-symmetric, and the equality is introduced in Eq. (B6c) as (Λdip)ρχ = −(Λdip)χρ. Because Eq. (17) is linear in these off-diagonal entries, any error from this ultrathin-shell replacement enters the headline frequency shift directly, not as a small correction to the square-root term. At the illustrative geometry (R = 40 nm, a = 35 nm, β = 0.875, thickness 5 nm), t/R is 12.5%, so the shell is not asymptotically thin and the magnitude of omitted corrections is not bounded in the text. The dipolar and DMI contributions to Δfk are numerically comparable (both about 2.5 nm for D = 1 mJ/m²), so a moderate error in the dipolar off-diagonal element could shift the cancellation point and even the sign of the net magnetochirality. A second, independent assumption is the DMI energy Eq. (A1) from Ref. [90], with the surface contribution explicitly omitted in Appendix A; this is literature-based but unvalidated for coated nanotubes. The internal dipolar skew-symmetry step, however, is the most direct support of the central formulas.","agreement_with_reader":"agree"},"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-16T12:35:46.286908+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}