English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We derive an effective Hamiltonian system describing the low energy dynamicsof circular magnetic skyrmions and antiskyrmions. Using scaling and symmetryarguments we model (anti-)skyrmion dynamics through a finite set of coupled,canonically conjugated, collective coordinates. The resulting theoreticaldescription is independent of both micromagnetic details as well as anyspecificity in the ansatz of the skyrmion profile. Based on the Hamiltonianstructure we derive a general description for breathing dynamics of(anti-)skyrmions in the limit of radius much larger than the domain wall width.The effective energy landscape reveals two qualitatively different types ofbreathing behavior. For small energy perturbations we reproduce the well-knownsmall breathing mode excitations, where the magnetic moments of the skyrmionoscillate around their equilibrium solution. At higher energies we find abreathing behavior where the in-plane angle of the skyrmion continuouslyprecesses, transforming N\'eel to Bloch skyrmions and vice versa. For a dampedsystem we observe the transition from the continuously rotating and breathingskyrmion into the oscillatory one. We analyze the characteristic frequencies ofboth breathing types, as well as their amplitudes and distinct energydissipation rates. For rotational (oscillatory) breathing modes we predict onaverage a linear (exponential) decay in energy. We argue that this starkdifference in dissipative behavior should be observable in the frequencyspectrum of excited (anti-)skyrmions.

Characterizing breathing dynamics of magnetic (anti-)skyrmions within the Hamiltonian formalism