Low Temperature Physics: 46, 863 (2020); https://doi.org/10.1063/10.0001555
Fizika Nizkikh Temperatur: Volume 46, Number 8 (August 2020), p. 1021-1027    ( to contents , go back )

Non-uniform along thickness spin excitations in magnetic vortex-state nanodots

G.N. Kakazei

Institute of Physics for Advanced Materials, Nanotechnology and Photonics (IFIMUP)Departamento de Física e Astronomia, Universidade do Porto, Porto 4169-007, Portugal
E-mail: gleb.kakazei@fc.up.pt

K.Y. Guslienko

Departamento de Física de Materiales, Universidad del País Vasco, San Sebastián 20018, SpainIKERBASQUE, the Basque Foundation for Science, Bilbao 48011, Spain

R.V. Verba

Institute of Magnetism NAS of Ukraine and MES of Ukraine, Kyiv 03142, Ukraine

J. Ding, X.M. Liu, and A.O. Adeyeye

Information Storage Materials Laboratory, Department of Electrical and Computer Engineering National University of Singapore, Singapore 117576, Singapore
pos Анотація:

Received April 16, 2020, published online June 22, 2020

Abstract

We summarize our experimental findings in the arrays of Ni80Fe20 circular nanodots with diameter 300 nm and thickness 20 nm ≤ L ≤ 100 nm, probed by broadband ferromagnetic resonance spectroscopy in the absence of external magnetic field. Spin excitation modes related to the vortex core gyrotropic dynamics were observed in the gigahertz frequency range. Micromagnetic simulations revealed that they are flexure oscillations of the vortex core string with n = 0, 1, 2 nodes along the dot thickness. It was found that for L > 70 nm the intensity of more complicated n = 1 vortex gyrotropic mode is unexpectedly higher than the one of the lowest n = 0 gyrotropic mode. This behavior was clarified on the basis of the inhomogeneous vortex mode phase profiles extracted from micromagnetic simulations and calculated analytically. Precise measurements of the dependence of resonance frequency of the vortex n = 0 mode on the dot thickness demonstrated a clear maximum around L = 70 nm, that was theoretically explained by introducing a vortex mass, which is a result of the vortex distortion due to interaction with spin waves having azimuthal indices m = ±1. Finally, several azimuthal spin-wave modes having curled structure at the dot top and bottom faces were found in the spectrum of the dots with thicknesses L ≥ 40 nm.

Key words: nanodot, ferromagnetic resonance, spin excitations, vortex gyrotropic mode.

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