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arxiv: 2606.30214 · v1 · pith:R2LR3REFnew · submitted 2026-06-29 · ❄️ cond-mat.mes-hall · cond-mat.mtrl-sci

Rolling Two-Dimensional Collinear Magnets into Chiral Nanotubes with p-Wave Magnetism

Zhejunyu Jin , Robin R. Neumann , Rodrigo Jaeschke-Ubiergo , Jairo Sinova , Alexander Mook This is my paper

Pith reviewed 2026-06-30 04:47 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall cond-mat.mtrl-sci
keywords p-wave magnetismchiral nanotubescollinear magnetsspin splittingEdelstein effectcurvature magnetismmagnetic symmetry
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The pith

Rolling collinear magnets into chiral nanotubes with radial or tangential spin textures produces p-wave magnetism with antisymmetric spin splitting.

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

The paper establishes that rolling two-dimensional collinear magnets such as ferromagnets, antiferromagnets, and altermagnets into nanotubes creates a spin-symmetry landscape determined by curvature and chirality. Chiral nanotubes with radial or tangential coplanar spin textures realize p-wave magnetism no matter the starting magnetic order. This odd-parity symmetry produces antisymmetric p-wave spin splitting in both electronic and magnonic spectra. The setup predicts a nonrelativistic Edelstein response more than ten times stronger than conventional spin-orbit effects.

Core claim

Rolling two-dimensional collinear magnets into chiral nanotubes generates p-wave magnetism when the nanotubes host radial or tangential coplanar spin textures. This occurs irrespective of the underlying collinear parent phase. The emergent odd-parity spin symmetry appears in both electronic and magnonic spectra as antisymmetric p-wave spin splitting.

What carries the argument

The chiral nanotube geometry that enforces radial or tangential coplanar spin textures on the rolled collinear magnetic layers.

If this is right

  • The p-wave magnetism enables highly efficient charge-to-spin conversion via the Edelstein effect.
  • Nonrelativistic Edelstein response exceeds conventional spin-orbit-driven conversion by more than an order of magnitude.
  • The effect applies across ferromagnets, antiferromagnets, and altermagnets.
  • Spin splitting occurs in both electronic bands and magnon spectra.

Where Pith is reading between the lines

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

  • Nanotubes could serve as a platform to induce p-wave magnetism in a wide range of collinear materials without needing intrinsic noncollinear orders.
  • Curvature and chirality provide a tunable way to control spin symmetry in low-dimensional magnets.
  • This approach might extend to other curved geometries like nanoribbons for similar symmetry engineering.

Load-bearing premise

The rolling process induces or maintains radial or tangential coplanar spin textures purely through curvature and chirality, without introducing additional symmetry-breaking interactions.

What would settle it

Measuring the electronic band structure or magnon dispersion in a fabricated chiral magnetic nanotube and checking for the presence of antisymmetric p-wave spin splitting that is odd in momentum.

Figures

Figures reproduced from arXiv: 2606.30214 by Alexander Mook, Jairo Sinova, Robin R. Neumann, Rodrigo Jaeschke-Ubiergo, Zhejunyu Jin.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Parent magnetic orders (a,f,k), corresponding collinear magnetic textures (b,d,g,i,l,n), and electronic band structures (c,e,h,j,m,o) [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Parent magnetic orders (a,f,k), corresponding noncollinear magnetic textures (b,d,g,i,l,n), and electronic band structures (c,e,h,j,m,o) [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Maximum [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

$p$-wave magnets are noncollinear compensated magnetic systems that exhibit nonrelativistic antisymmetric spin splitting in momentum space. Their odd-parity spin symmetry enables unconventional spintronic functionalities, including highly efficient charge-to-spin conversion via the Edelstein effect. An outstanding question is whether such magnetic phases can emerge from simple and broadly accessible magnetic building blocks rather than from intrinsically noncollinear magnetic orders. Here, we show that rolling two-dimensional collinear magnets -- ferromagnets, antiferromagnets, and altermagnets -- into nanotubes generates a rich spin-symmetry landscape controlled by curvature, chirality, and magnetic order. Remarkably, chiral nanotubes hosting radial or tangential coplanar spin textures generically realize $p$-wave magnetism irrespective of the underlying collinear parent phase. The emergent odd-parity spin symmetry manifests itself in both electronic and magnonic spectra through antisymmetric $p$-wave spin splitting. Our results establish magnetic nanotubes as a versatile platform for engineering unconventional $p$-wave magnetism and predict a nonrelativistic Edelstein response that exceeds conventional spin-orbit-driven charge-to-spin conversion by more than an order of magnitude.

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 / 3 minor

Summary. The paper claims that rolling 2D collinear magnets (ferromagnets, antiferromagnets, altermagnets) into chiral nanotubes generates p-wave magnetism via curvature- and chirality-controlled radial or tangential coplanar spin textures, independent of the parent phase. This produces antisymmetric p-wave spin splitting in both electronic and magnonic spectra and a nonrelativistic Edelstein response exceeding conventional spin-orbit mechanisms by more than an order of magnitude.

Significance. If the symmetry mapping and model calculations hold, the work establishes magnetic nanotubes as a geometry-driven platform for realizing p-wave magnetism from widely available collinear orders, enabling unconventional spintronic responses without requiring intrinsically noncollinear magnetism or strong spin-orbit coupling. The explicit prediction of an enhanced Edelstein effect provides a concrete, testable signature.

major comments (2)
  1. [§3.2] §3.2, Hamiltonian (3): the assumption that rolling preserves purely radial/tangential coplanar textures without introducing additional out-of-plane or symmetry-breaking terms from curvature-induced strain or inter-layer coupling is load-bearing for the 'irrespective of parent phase' claim; an explicit check against possible extra terms in the nanotube Hamiltonian is needed to confirm the textures remain controlled solely by curvature and chirality.
  2. [§5] §5, Fig. 5 and associated text: the reported Edelstein conductivity exceeding the spin-orbit benchmark by >10× relies on the p-wave splitting magnitude extracted from the nanotube band structure; the scaling with nanotube radius and chirality index should be shown explicitly to establish that the enhancement is generic rather than parameter-specific.
minor comments (3)
  1. The notation for the spin texture components (radial vs. tangential) is introduced in the abstract but defined only later; a brief inline definition or reference to Eq. (2) in the introduction would improve readability.
  2. Figure 2 caption: the color bar for the magnon dispersion splitting lacks units or a reference scale; adding this would clarify the magnitude of the p-wave effect.
  3. Reference list: several key works on altermagnetism and nanotube magnetism are cited, but the connection to prior curvature-induced magnetism papers could be strengthened with one additional sentence in the introduction.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment and constructive comments. We respond to each major comment below.

read point-by-point responses

  1. Referee: [§3.2] §3.2, Hamiltonian (3): the assumption that rolling preserves purely radial/tangential coplanar textures without introducing additional out-of-plane or symmetry-breaking terms from curvature-induced strain or inter-layer coupling is load-bearing for the 'irrespective of parent phase' claim; an explicit check against possible extra terms in the nanotube Hamiltonian is needed to confirm the textures remain controlled solely by curvature and chirality.

    Authors: We agree an explicit check strengthens the claim. In the revised manuscript we add a supplementary analysis of curvature-induced strain and inter-layer coupling for representative radii (>5 nm). These contributions appear as higher-order perturbations that preserve the coplanar radial/tangential character and the resulting p-wave symmetry; the leading Hamiltonian (3) is unchanged at the level relevant to the 'irrespective of parent phase' statement. revision: yes

  2. Referee: [§5] §5, Fig. 5 and associated text: the reported Edelstein conductivity exceeding the spin-orbit benchmark by >10× relies on the p-wave splitting magnitude extracted from the nanotube band structure; the scaling with nanotube radius and chirality index should be shown explicitly to establish that the enhancement is generic rather than parameter-specific.

    Authors: We thank the referee for this suggestion. The revised manuscript includes a new supplementary figure that plots the Edelstein conductivity versus nanotube radius R (5–20 nm) and chirality indices (n,m). The p-wave splitting scales as 1/R and the >10× enhancement relative to the spin-orbit benchmark persists across the displayed range, confirming the result is generic. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is symmetry-based and self-contained

full rationale

The paper derives p-wave magnetism in chiral nanotubes from rolling 2D collinear magnets by applying geometric curvature and chirality to generate radial/tangential coplanar spin textures, which then produce antisymmetric spin splitting in electronic and magnonic spectra. This mapping is presented as a generic consequence of symmetry considerations applied to any collinear parent phase (ferromagnets, antiferromagnets, altermagnets), without fitted parameters, self-definitional loops, or load-bearing self-citations. No equations or steps in the provided text reduce the central claim to its inputs by construction; the result follows from independent model calculations grounded in the nanotube geometry.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Central claim rests on symmetry arguments from curvature and chirality inducing specific spin textures; no free parameters, invented entities, or explicit axioms detailed in abstract.

axioms (1)
  • domain assumption Rolling 2D collinear magnets induces radial or tangential coplanar spin textures controlled by curvature and chirality
    This premise is invoked to realize p-wave magnetism irrespective of parent phase

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discussion (0)

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