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arxiv: 2606.23806 · v1 · pith:YZGUKSLCnew · submitted 2026-06-22 · ❄️ cond-mat.mtrl-sci · cond-mat.mes-hall· cond-mat.supr-con

Nonrelativistic Spin-Orbit-Coupling Effects in Odd-Parity Coplanar Magnets

Dongling Liu , Zheng-Yang Zhuang , Di Zhu , Zhigang Wu , Zhongbo Yan This is my paper

Pith reviewed 2026-06-26 06:55 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.mes-hallcond-mat.supr-con
keywords odd-parity coplanar magnetsnonrelativistic SOCaltermagnetsspin texturesRashbaDresselhausspin Edelstein effectchiral topological superconductivity
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The pith

Odd-parity coplanar magnets enable nonrelativistic SOC with tunable Rashba, Weyl and Dresselhaus textures equivalent to relativistic cases.

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

The paper establishes that odd-parity coplanar magnets provide a nonrelativistic route to highly tunable spin-orbit coupling effects. A bilayer is formed by symmetry-guided stacking of two monolayer odd-parity altermagnets, allowing Rashba, Weyl, and Dresselhaus spin textures to appear. These textures switch between forms when the layer Néel vector is tuned. The nonrelativistic SOC produces the same physical outcomes as relativistic SOC, shown through the spin Edelstein effect and fully gapped chiral topological superconducting phases. This removes dependence on heavy elements and fixed material-specific patterns.

Core claim

By constructing a bilayer coplanar magnet via symmetry-guided stacking of two monolayer odd-parity altermagnets, the authors demonstrate that Rashba, Weyl, and Dresselhaus spin textures can all be realized nonrelativistically, and that the spin texture can be switched between these forms simply by tuning the layer Néel vector. Through the spin Edelstein effect and the realization of fully gapped chiral topological superconducting phases, this nonrelativistic SOC achieves physical equivalence to its relativistic counterpart.

What carries the argument

Symmetry-guided bilayer stacking of two monolayer odd-parity altermagnets that generates and switches nonrelativistic spin textures.

Load-bearing premise

The bilayer construction via symmetry-guided stacking of two monolayer odd-parity altermagnets produces the claimed spin textures and physical equivalence without hidden relativistic contributions or model-specific fitting.

What would settle it

Direct measurement of the predicted spin-texture switching when the layer Néel vector is reversed in a fabricated bilayer sample, with no relativistic SOC present.

Figures

Figures reproduced from arXiv: 2606.23806 by Di Zhu, Dongling Liu, Zheng-Yang Zhuang, Zhigang Wu, Zhongbo Yan.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) and (b) Two spin configurations for the bottom layer, OPAM1 and OPAM2, differing by a [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Fermi energy-dependence of the SEE susceptibility tensor [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Topological phase diagram of [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
read the original abstract

Spin-orbit coupling (SOC) is a relativistic effect that underpins a broad spectrum of phenomena in condensed matter physics, from topological phases of matter to spintronic functionality. Its relativistic origin, however, restricts strong SOC to heavy-element materials and locks spin-momentum texture into a fixed, material-specific pattern. Here we show that odd-parity coplanar magnets offer a nonrelativistic pathway to highly tunable SOC effects. We construct a bilayer coplanar magnet via symmetry-guided stacking of two monolayer odd-parity altermagnets and demonstrate that Rashba, Weyl, and Dresselhaus spin textures can all be realized, and that the spin texture can be switched between these forms simply by tuning the layer Neel vector. Through the spin Edelstein effect and the realization of fully gapped chiral topological superconducting phases, we demonstrate that this nonrelativistic SOC achieves physical equivalence to its relativistic counterpart. Our findings identify a new class of odd-parity coplanar magnets as a versatile platform for engineering SOC effects.

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

0 major / 3 minor

Summary. The manuscript claims that odd-parity coplanar magnets, realized via symmetry-guided bilayer stacking of two monolayer odd-parity altermagnets, provide a nonrelativistic route to highly tunable SOC effects. By adjusting the layer Néel vector, Rashba, Weyl, and Dresselhaus spin textures are obtained; physical equivalence to relativistic SOC is demonstrated via the spin Edelstein effect and the emergence of fully gapped chiral topological superconducting phases.

Significance. If the central construction and equivalence hold, the work identifies a new materials platform for engineering SOC phenomena without heavy elements, offering magnetic tunability that is unavailable in conventional relativistic SOC. The parameter-free character of the bilayer model and the explicit mapping to observable signatures (Edelstein effect, topological SC) would constitute a substantive advance in altermagnet-based spintronics.

minor comments (3)
  1. [Introduction] The abstract introduces 'odd-parity coplanar magnets' as a new class; the introduction should explicitly define the parity and coplanarity conditions relative to existing altermagnet literature and state the symmetry operations that enforce the bilayer stacking.
  2. Figure captions and text should clarify whether the reported spin textures are obtained from a minimal tight-binding model or from first-principles calculations, and whether any relativistic SOC term is retained as a control parameter.
  3. [Model] The claim that the nonrelativistic SOC is 'parameter-free' should be supported by an explicit statement of the Hamiltonian and the absence of adjustable parameters in the bilayer construction.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our work, the accurate summary of our central claims, and the recommendation for minor revision. No specific major comments were provided in the report.

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained via explicit bilayer construction and observable demonstrations

full rationale

The paper constructs a bilayer via symmetry-guided stacking of two monolayer odd-parity altermagnets, then computes spin textures (Rashba/Weyl/Dresselhaus) and demonstrates equivalence through independent observables (spin Edelstein effect, fully gapped chiral topological SC). No quoted equations reduce a claimed prediction to a fitted input by construction, no load-bearing self-citation chain justifies the central premise, and the model is presented as parameter-free with explicit symmetry inputs. The equivalence is shown via computed physical responses rather than definitional renaming or ansatz smuggling. This is the normal case of an independent derivation.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 1 invented entities

Abstract-only review; no explicit free parameters, axioms, or invented entities are stated. The new material class itself functions as an invented platform without independent evidence supplied.

invented entities (1)
  • odd-parity coplanar magnets no independent evidence
    purpose: new platform for nonrelativistic tunable SOC effects
    Introduced in the abstract as a distinct class enabling the claimed phenomena

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