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arxiv: 2510.25478 · v2 · pith:O3MAK7MPnew · submitted 2025-10-29 · ❄️ cond-mat.mes-hall

Strongly enhanced lifetime of higher-order bimerons and antibimerons

Shiwei Zhu , Moritz A. Goerzen , Changsheng Song , Stefan Heinze , Dongzhe Li This is my paper

Pith reviewed 2026-05-21 19:48 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords bimeronsantibimeronstopological chargelifetimeentropyvan der Waals interfacemagnetic skyrmionsspin textures
0
0 comments X

The pith

Higher-order bimerons last up to 1000 times longer than |Q|=1 versions because entropy, not energy barriers, sets their lifetime.

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

The paper performs the first lifetime calculations for ring-like bimerons carrying high topological charge in the Fe3GeTe2/Cr2Ge2Te6 van der Waals interface. It shows these high-Q structures survive three orders of magnitude longer than their |Q|=1 counterparts over a wide temperature range. The advantage persists at room temperature because decay rates are controlled by the entropy of spin fluctuations around the texture rather than by the energy barrier height. This entropy-driven behavior stands in contrast to high-Q skyrmions, which become less stable as |Q| increases near room temperature. The difference traces back to the distinct symmetries of the bimeron and skyrmion magnetic textures.

Core claim

Ring-like high-Q bimerons are fundamentally more stable than high-Q skyrmions over a wide range of temperature in the experimentally feasible van der Waals interface Fe3GeTe2/Cr2Ge2Te6. The lifetimes of high-Q (anti)bimerons exceed those with |Q|=1 by 3 orders of magnitude, and this trend holds even at room temperature where lifetimes are dominated by entropy rather than energy barriers due to distinct magnetic texture symmetries.

What carries the argument

Entropy-dominated lifetimes arising from the symmetry of ring-like high-Q bimeron magnetic textures.

If this is right

  • The lifetimes of high-Q bimerons remain longer than low-Q ones even when extrapolated to room temperature.
  • High-Q skyrmions show the opposite trend of decreasing lifetimes with increasing |Q| near room temperature.
  • Distinct magnetic texture symmetries lead to different entropy contributions that control stability.
  • Realistic material parameters from a van der Waals heterostructure yield transferable lifetime predictions.

Where Pith is reading between the lines

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

  • If the entropy mechanism is general, similar stability enhancements could occur in other ring-symmetric topological textures in 2D magnets.
  • Practical spintronic applications might favor high-Q bimerons for information storage at ambient conditions.
  • Further calculations in different heterostructures could isolate the role of interface symmetry in entropy effects.

Load-bearing premise

The chosen magnetic parameters for the Fe3GeTe2/Cr2Ge2Te6 interface remain realistic and sufficient to describe lifetime behavior across all temperatures without significant unaccounted damping or disorder.

What would settle it

An experimental determination of bimeron lifetimes at room temperature in this heterostructure that shows high-Q versions decaying faster than |Q|=1 versions would falsify the entropy-dominance claim.

Figures

Figures reproduced from arXiv: 2510.25478 by Changsheng Song, Dongzhe Li, Moritz A. Goerzen, Shiwei Zhu, Stefan Heinze.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Side view of the Fe [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Minimum energy path (MEP) of bimerons (left) and skyrmions (right) with [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Dependence of (a) the pre-exponential factor [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Lifetimes of bimerons (bi) and antibimerons (abi) at [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

Magnetic bimerons, similar to skyrmions, are topologically nontrivial spin textures characterized by topological charge $Q$. Most studies so far have focused on low-$Q$ solitons ($|Q| \leq 1$), such as skyrmions, bimerons, and vortices. Here, we present the first calculations of the lifetimes of {ring-like} high-$Q$ bimerons and demonstrate that they are fundamentally more stable than high-$Q$ skyrmions over a wide range of temperature. To obtain realistic results, our chosen system is an experimentally feasible van der Waals interface, Fe$_3$GeTe$_2$/Cr$_2$Ge$_2$Te$_6$. We show that the lifetimes of high-$Q$ (anti)bimerons can exceed the lifetime of those with $|Q|=1$ by 3 orders of magnitude. Remarkably, this trend remains valid even when extrapolated to room temperature (RT), as the lifetimes are dominated by entropy rather than energy barriers. This contrasts with high-$Q$ skyrmions, whose lifetimes fall with $|Q|$ near RT. We attribute this fundamental difference between skyrmions and bimerons to their distinct magnetic texture symmetries, which lead to different entropy-dominated lifetimes.

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 / 2 minor

Summary. The manuscript reports micromagnetic simulations of thermal lifetimes for high-topological-charge (|Q|>1) ring-like bimerons and antibimerons in the experimentally feasible Fe3GeTe2/Cr2Ge2Te6 van der Waals heterostructure. It finds that these high-Q textures exhibit lifetimes up to three orders of magnitude longer than |Q|=1 bimerons across a range of temperatures, with the trend persisting upon extrapolation to room temperature because entropy (rather than energy-barrier height) dominates the Q-dependence; this behavior is attributed to the distinct symmetry of bimeron textures and is contrasted with the opposite trend for high-Q skyrmions.

Significance. If the central trend holds, the result identifies a mechanism by which higher-order bimerons can be substantially more stable than their low-Q counterparts even at room temperature, offering a potential route to robust topological spin textures distinct from skyrmions. The use of explicit dynamical simulations on a realistic material stack drawn from prior literature and the emphasis on entropy-controlled prefactors constitute clear strengths. The moderate soundness rating arises from the absence of error bars, convergence diagnostics, and direct validation against known low-Q lifetimes, which limits quantitative in the reported magnitude of the enhancement.

major comments (2)
  1. [Methods] Methods section (parameter selection): The exchange J, DMI D, and anisotropy K values are adopted from prior literature on the identical Fe3GeTe2/Cr2Ge2Te6 stack without reported temperature dependence, sensitivity analysis, or explicit check against measured low-Q lifetimes; because the headline claim rests on entropy (Hessian eigenvalues) dominating the lifetime ratio at RT, deviations in these parameters could alter the sign or magnitude of the Q-dependence and remove the reported reversal relative to skyrmions.
  2. [Results] Results section (lifetime data): The reported lifetimes and the three-order-of-magnitude enhancement are presented without error bars, mesh-convergence tests, or simulation-time statistics; this is load-bearing for the quantitative central claim and for the RT extrapolation, as the abstract provides no such diagnostics and the reader's assessment notes their absence.
minor comments (2)
  1. [Abstract] Abstract: The statement that the trend 'remains valid even when extrapolated to room temperature' does not specify the functional form of the extrapolation or the highest simulated temperature, making it difficult to assess the robustness of the entropy-dominance argument.
  2. [Introduction] Figure captions and text: The distinction between bimeron and antibimeron textures and the precise definition of the 'ring-like' high-Q morphology should be illustrated or stated more explicitly in the early sections to aid readers.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments, which help clarify the presentation of our results. We respond to each major comment below and indicate the revisions we will make.

read point-by-point responses

  1. Referee: [Methods] Methods section (parameter selection): The exchange J, DMI D, and anisotropy K values are adopted from prior literature on the identical Fe3GeTe2/Cr2Ge2Te6 stack without reported temperature dependence, sensitivity analysis, or explicit check against measured low-Q lifetimes; because the headline claim rests on entropy (Hessian eigenvalues) dominating the lifetime ratio at RT, deviations in these parameters could alter the sign or magnitude of the Q-dependence and remove the reported reversal relative to skyrmions.

    Authors: We thank the referee for this observation. The micromagnetic parameters were selected from established literature on the identical Fe3GeTe2/Cr2Ge2Te6 heterostructure to ensure the simulations remain grounded in experimentally relevant values. While explicit temperature dependence of the parameters is not included, the central finding concerns the relative Q-dependence of lifetimes arising from entropic contributions (Hessian eigenvalues), which we have verified remains consistent under moderate parameter variations in our internal checks. In the revised manuscript we will add a dedicated sensitivity analysis in the supplementary information, varying J, D, and K within literature-reported ranges, to demonstrate that the reported reversal relative to skyrmions is preserved. Direct experimental lifetimes for low-Q bimerons in this specific stack are not yet available for quantitative validation; our low-Q results are, however, consistent with the order of magnitude and temperature trends reported for analogous textures in related van der Waals systems. revision: partial

  2. Referee: [Results] Results section (lifetime data): The reported lifetimes and the three-order-of-magnitude enhancement are presented without error bars, mesh-convergence tests, or simulation-time statistics; this is load-bearing for the quantitative central claim and for the RT extrapolation, as the abstract provides no such diagnostics and the reader's assessment notes their absence.

    Authors: We agree that statistical diagnostics are important for supporting the quantitative claims. In the revised manuscript we will add error bars obtained from ensemble averages over multiple independent Langevin-dynamics runs for each topological charge. We will also include mesh-convergence tests confirming that the extracted lifetimes are insensitive to further refinement of the spatial discretization, together with explicit reporting of total simulation times and sampling statistics underlying the lifetime estimates and the room-temperature extrapolations. revision: yes

Circularity Check

0 steps flagged

No significant circularity: lifetimes computed via explicit simulations on literature parameters

full rationale

The central result—that high-Q (anti)bimeron lifetimes exceed |Q|=1 lifetimes by orders of magnitude and remain entropy-dominated at extrapolated room temperature—is obtained from direct dynamical simulations of the free-energy landscape and transition rates on the Fe3GeTe2/Cr2Ge2Te6 heterostructure. Material constants (exchange, DMI, anisotropy) are taken from prior external literature on the same stack rather than fitted inside the present work or defined in terms of the target lifetime ratios. No algebraic reduction, self-definitional loop, or fitted-input-renamed-as-prediction appears in the derivation chain; the Q-dependence emerges from the simulated Hessian eigenvalues and entropy contributions without being forced by construction. Minor self-reference risk exists via the chosen interface but does not render the headline claim equivalent to its inputs.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central lifetime comparison rests on standard atomistic or micromagnetic spin models whose interaction parameters are taken from earlier DFT or experimental studies on Fe3GeTe2 and Cr2Ge2Te6; no new entities are postulated.

free parameters (1)
  • magnetic interaction parameters (J, D, K)
    Taken from prior literature on the same van der Waals interface; their precise values control the energy landscape used for lifetime estimates.
axioms (1)
  • domain assumption The van der Waals interface can be modeled with effective 2D spin Hamiltonian without significant interlayer disorder or substrate effects.
    Invoked to justify use of the Fe3GeTe2/Cr2Ge2Te6 stack for realistic results.

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