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

This chapter describes spin-wave excitations in nanosized dots and rings inthe presence of the vortex state. The special attention is paid to themanifestation of the competition between exchange and dipolar interactions inthe spin-wave spectrum as well as the correlation between the spectrum and thestability of the vortex. The calculation method uses the dynamic matrix for anall-discrete system, the numerical diagonalization of which yields the spectrumof frequencies and spin-wave profiles of normal modes of the dot. We studyin-plane vortices of two types: a circular magnetization in circular dots andrings and the Landau state in square rings. We examine the influence of thedipolar-exchange competition and the geometry of the dot on the stability ofthe vortex and on the spectrum of spin waves. We show that the lowest-frequencymode profile proves to be indicative of the dipolar-to-exchange interactionratio and the vortex stability is closely related to the spin-wave profile ofthe soft mode. The negative dispersion relation is also shown. Our resultsobtained for in-plane vortices are in qualitative agreement with results forcore-vortices obtained from experiments, micromagnetic simulations, andanalytical calculations.

Spin-Wave Dynamics in the Presence of Magnetic Vortices