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

Mesoscale and Nanoscale Physics · Submitted 29 Jun 2026 · 74 references

Pith's verdict: Rolling collinear 2D magnets into chiral nanotubes induces p-wave magnetism through curvature and chirality alone, with a strong predicted Edelstein boost.

T0 · AI review

How this review was made: An AI referee (grok-4.3) read the paper on June 30, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

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  3. T2 Compute The paper's code or calculations re-run with the same results.
  4. T3 Formal statement The claims written out in a formal math language a computer can read.
  5. T4 Proof Those claims proved, and the proof checked by computer.

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arXiv ID2606.30214 (version 1)
Pith IDR2LR3REF, Pith's permanent record of this paper and its review
CitationAlexander Mook, Jairo Sinova, Robin R. Neumann, Rodrigo Jaeschke-Ubiergo, Zhejunyu Jin. "Rolling Two-Dimensional Collinear Magnets into Chiral Nanotubes with $p$-Wave Magnetism." arXiv:2606.30214 (2026). https://pith.science/paper/R2LR3REF
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Referee report
The paper

The paper claims

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

The reading

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.

What carries the argument

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

Extended reading notes

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.

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.

Editorial extensions

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.

Reading between the lines

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.
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.

Figures
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)
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)
Figure 4. FIG. 4. (a) Maximum

Showing 3 of the paper's 4 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:2606.30214 by the authors.

References

How the literature uses it

1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 8 sentences without a confident label

Cites as background 8 papers
  • Prominent examples are altermagnets [ref] and antialtermagnets [ref] , which exhibit even- and odd-parity-wave spin splitting, respectively, despite vanishing net magnetization [ref] .

    P-wave magnets · Introduction · 0.86

  • In parallel, curved magnetic systems have emerged as a versatile platform in which geometry and topology reshape magnetic interactions [ref] .

    2512.14283 · Introduction · 0.85

  • Existing approaches include strain engineering, symmetry lowering, stacking, moiré superstructures, electric-field control, and surface or interface effects [ref] .

    2509.21741 · Introduction · 0.86

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