Surface effects on ferromagnetic resonance in magnetic nanocubes
arXiv:1611.00614 · doi:10.1088/0953-8984/29/2/025801
Abstract
We study the effect of surface anisotropy on the spectrum of spin-wave excitations in a magnetic nanocluster and compute the corresponding absorbed power. For this, we develop a general numerical method based on the (undamped) Landau-Lifshitz equation, either linearized around the equilibrium state leading to an eigenvalue problem or solved using a symplectic technique. For box-shaped clusters, the numerical results are favorably compared to those of the finite-size linear spin-wave theory. Our numerical method allows us to disentangle the contributions of the core and surface spins to the spectral weight and absorbed power. In regard to the recent developments in synthesis and characterization of assemblies of well defined nano-elements, we study the effects of free boundaries and surface anisotropy on the spin-wave spectrum in iron nanocubes and give orders of magnitude of the expected spin-wave resonances. For an 8 nm iron nanocube, we show that the absorbed power spectrum should exhibit a low-energy peak around 10 GHz, typical of the uniform mode, followed by other low-energy features that couple to the uniform mode but with a stronger contribution from the surface. There are also high-frequency exchange-mode peaks around 60 GHz.
References in corpus (7)
- Surface contribution to the anisotropy of magnetic nanoparticles
- Large specific absorption rates in the magnetic hyperthermia properties of metallic iron nanocubes
- Fast spin dynamics algorithms for classical spin systems
- Spin torque ferromagnetic resonance with magnetic field modulation
- Boundary and finite-size effects in small magnetic systems
- Spin-wave theory for finite classical magnets and superparamagnetic relation
- Symplectic integrators for classical spin systems
Cited by in corpus (4)
- Effective anisotropy due to the surface of magnetic nanoparticles
- Energy balance and energy correction in dynamics of classical spin systems
- Size-dependent frequency bands in the ferromagnetic resonance of a Fe-nanocube
- Ferromagnetic resonance of a two-dimensional array of nanomagnets: Effects of surface anisotropy and dipolar interactions