Nonlinear magnetization relaxation of superparamagnetic nanoparticles in superimposed ac and dc magnetic bias fields

Titov, S. V.; Déjardin, Pierre-Michel; Mrabti, Halim El; Kalmykov, Yuri P.

doi:10.1103/physrevb.82.100413

Cited by 37 publications

(20 citation statements)

References 30 publications

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“…27, where preliminary results have been reported. Here, using the approach of Titov et al, 27 we shall demonstrate that for arbitrary orientations of ac and dc bias fields (so breaking the axial symmetry), the magnetization dynamics change substantially leading to new nonlinear effects that cannot be treated via perturbation theory. Furthermore, we shall derive a simple analytic equation for the magnetization reversal time under the influence of the ac magnetic field by adapting the mean first passage time method originally used by Denisov et al 28 to calculate the reversal time of single-domain ferromagnetic particles in a transverse rotating field (i.e., applied perpendicular to the easy axis).…”

Section: Introductionmentioning

confidence: 90%

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Nonlinear stationary ac response of the magnetization of uniaxial superparamagnetic nanoparticles

Mrabti

Titov

Déjardin

et al. 2011

Journal of Applied Physics

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Articles you may be interested inSuperparamagnetic nanoparticle detection using second harmonic of magnetization response Rev. Sci. Instrum. 84, 094702 (2013); 10.1063/1.4820447Magnetic anisotropy determination and magnetic hyperthermia properties of small Fe nanoparticles in the superparamagnetic regimeThe nonlinear stationary ac response of the magnetization of assemblies consisting of (i) noninteracting uniaxial superparamagnetic nanoparticles with aligned easy axes and (ii) randomly oriented nanoparticles subjected to superimposed ac and dc bias magnetic fields of arbitrary strength and orientation is calculated by averaging Gilbert's equation augmented by a random field. The magnetization dynamics of uniaxial particles driven by a strong ac field applied at an angle to the easy axis of the particle (so that the axial symmetry is broken) alters drastically leading to new nonlinear effects due to coupling of the thermally activated magnetization reversal mode with the precessional modes via the driving ac field. In particular, the high frequency response reveals significant nonlinear effects in the precessional motion with significant consequences for the dynamic hysteresis and ultra-fast switching of the magnetization following an ultrafast change in the applied field.

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Section: Introductionmentioning

confidence: 90%

“…27, the stationary ac response can be calculated from the formally exact matrix-continued fraction solution…”

Section: Appendix A: Matrix Continued Fraction Solutionmentioning

confidence: 99%

Nonlinear stationary ac response of the magnetization of uniaxial superparamagnetic nanoparticles

Mrabti

Titov

Déjardin

et al. 2011

Journal of Applied Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…[28]. Now the task of calculating the ac stationary response from the Langevin equation (1) Yt where the angular brackets  mean statistical averaging) as with zero STT [40,41]. Such a hierarchy has been derived in Ref.…”

Section: Statistical Moment Equationsmentioning

confidence: 99%

“…28 because the observables are now both time-and frequency-dependent. However, these difficulties may be overcome using the matrix continued fraction method [27,29] just as with the nonlinear ac response without STT [40,41].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, to comprehensively investigate the influence of STT on the dynamical characteristics of the generic nanopillar model (Fig. 1) due to an ac magnetic field of arbitrary strength and frequency, we generalize the approach of Titov et al [40] developed originally for zero STT. The advantage of this approach over all others is that one can obtain the nonlinear response characteristics for all frequencies of interest ranging from the very low ones corresponding to overbarrier relaxation processes up to the very high frequencies appropriate to the ferromagnetic resonance (GHz) range using a single model.…”

Section: Introductionmentioning

confidence: 99%

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