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Published on: March 24, 2019
Scale-dependent universality class crossover in magnetic skyrmion polymers
R L Silva1, R C Silva1, R L Stamps2
1Departamento de Ciências Naturais, Universidade Federal do Espírito Santo, São Mateus, ES Brazil.
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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