# Identification and selection rules of the spin-wave eigen-modes in a normally magnetized nano-pillar

Abstract : We report on a spectroscopic study of the spin-wave eigen-modes inside an individual normally magnetized two layers circular nano-pillar (Permalloy$|$Copper$|$Permalloy) by means of a Magnetic Resonance Force Microscope (MRFM). We demonstrate that the observed spin-wave spectrum critically depends on the method of excitation. While the spatially uniform radio-frequency (RF) magnetic field excites only the axially symmetric modes having azimuthal index $\ell=0$, the RF current flowing through the nano-pillar, creating a circular RF Oersted field, excites only the modes having azimuthal index $\ell=+1$. Breaking the axial symmetry of the nano-pillar, either by tilting the bias magnetic field or by making the pillar shape elliptical, mixes different $\ell$-index symmetries, which can be excited simultaneously by the RF current. Experimental spectra are compared to theoretical prediction using both analytical and numerical calculations. An analysis of the influence of the static and dynamic dipolar coupling between the nano-pillar magnetic layers on the mode spectrum is performed.
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00610637
Contributor : Grégoire de Loubens <>
Submitted on : Monday, October 24, 2011 - 7:36:49 PM
Last modification on : Wednesday, June 3, 2020 - 10:30:04 AM
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### Citation

Vladimir V. Naletov, G. de Loubens, Gonçalo Albuquerque, Simone Borlenghi, Vincent Cros, et al.. Identification and selection rules of the spin-wave eigen-modes in a normally magnetized nano-pillar. Physical Review B: Condensed Matter and Materials Physics, American Physical Society, 2011, 84 (22), pp.224423. ⟨10.1103/PhysRevB.84.224423⟩. ⟨hal-00610637v2⟩

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