Scale-dependent universality class crossover in magnetic skyrmion polymers

R. L. Silva; R. C. Silva; R. L. Stamps

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arXiv · 2607.26289

Scale-dependent universality class crossover in magnetic skyrmion polymers

R. L. Silva·R. C. Silva·R. L. Stamps

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Abstract

Dipolar magnetic skyrmions can assemble into chains with alternating helicity that act as one-dimensional polymers, yet their statistical mechanics violates the universal harmonic scaling observed in actin, DNA, and microtubules. From first principles, we compute the inter-skyrmion pair potential and find a bi-exponential form of competing interactions with two characteristic decay lengths that encode the distinct microscopic mechanisms of repulsion and attraction. Multiscale simulations reveal a power-law temperature dependence with exponent $1$ in the worm-chain limit of a single bond, and exponent $1/2$ in the three-bond limit. We find that the power-law behavior is remarkably independent of magnetic field strength, and the crossover is due to competing radial interactions responsible for the bonds, resulting in a quartic transverse confinement. We show that the precise form of the competing interactions (e.g., Morse or double-Yukawa) does not affect the temperature dependence.

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R. L. Silva, R. C. Silva, R. L. Stamps. 2026-07-28. Scale-dependent universality class crossover in magnetic skyrmion polymers. https://arxiv.org/abs/2607.26289

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