Nonlinear response of magnetization obeying inertial dynamics to superimposed dc and ac fields and dynamic magnetic hysteresis
Source abstract
Abstract
The nonlinear ac stationary responses of magnetization and the dynamic magnetic hysteresis of ferromagnetic particles with uniaxial anisotropy acted on by both external dc and ac magnetic fields are evaluated by employing the inertial Landau–Lifshitz–Gilbert equation. Analytical expressions are obtained for the components of the second- and third-order nonlinear susceptibility tensors using the perturbation method. The dynamic nonlinear susceptibility strongly depends on the dc field strength. The effect of inertia on the area and slope of the dynamic magnetic hysteresis loop is demonstrated. In addition to nutation resonance, the main nonlinear effects previously observed in the ferromagnetic resonance region (frequency doubling and appearance of weak subharmonic resonance peaks) are predicted in the nutation resonance frequency region.
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Research context
OpenAlex topics: Magnetic Properties and Applications · Characterization and Applications of Magnetic Nanoparticles · Geomagnetism and Paleomagnetism Studies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Kotel’nikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences 1 , Fryazino, Moscow Region 141190, Russia
Department of Electronic and Electrical Engineering, Trinity College Dublin 2 , Dublin 2, Dublin, Ireland
The Moscow Institute of Physics and Technology (State University), Institutskiy per. 9 3 , Dolgoprudny, Moscow Region 141701, Russia
Kotel’nikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences 4 , Moscow 125009, Russia
Funding
the Foundation for the Advancment of Theoretical Physics and Mathematics “BASIS”
References (49)
Show source-provided references
1. 2009
2. Progress in applications of magnetic nanoparticles in biomedicine10.1088/0022-3727/42/22/224001 ↗
3. 2020
4. Inertia-driven spin switching in antiferromagnets10.1038/nphys1369 ↗
5. Magnetization dynamics in the inertial regime: Nutation predicted at short time scales10.1103/physrevb.83.020410 ↗
6. Magnetization dynamics, gyromagnetic relation, and inertial effects10.1119/1.4709188 ↗
7. Significance of nutation in magnetization dynamics of nanostructures10.1103/physrevb.86.020404 ↗
8. Derivation of magnetic inertial effects from the classical mechanics of a circular current loop10.1103/physrevb.102.214406 ↗
9. Beyond ferromagnetic resonance: The inertial regime of the magnetization10.1063/1.4712056 ↗
10. Dispersion relation of nutation surface spin waves in ferromagnets10.1103/physrevb.103.174435 ↗
11. Nutation in antiferromagnetic resonance10.1103/physrevb.103.104404 ↗
12. Nutation resonance in ferromagnets10.1103/physrevb.102.184432 ↗
13. Anatomy of inertial magnons in ferromagnetic nanostructures10.1103/physrevb.104.054425 ↗
14. Nutation spin waves in ferromagnets10.1103/physrevb.105.214414 ↗
15. Inertial spin waves in ferromagnets and antiferromagnets10.1103/physrevb.106.134422 ↗
16. Inertial spin dynamics in ferromagnets10.1038/s41567-020-01040-y ↗
17. Inertial spin dynamics in epitaxial cobalt films10.1103/physrevlett.129.237201 ↗
18. Generalized Gilbert equation including inertial damping: Derivation from an extended breathing Fermi surface model10.1103/PhysRevB.84.172403 ↗
19. Atomistic spin dynamic method with both damping and moment of inertia effects included from first principles10.1103/physrevlett.108.057204 ↗
20. Relativistic theory of magnetic inertia in ultrafast spin dynamics10.1103/physrevb.96.024425 ↗
21. Generalisation of Gilbert damping and magnetic inertia parameter as a series of higher-order relativistic terms10.1088/1361-648x/aac5a2 ↗
22. 2012
23. Nonlinear dynamic susceptibilities and field-induced birefringence in magnetic particle assemblies10.1002/047168077X.ch4 ↗
24. Comparative study of linear and nonlinear susceptibilities of fine-particle and spin-glass systems: Quantitative analysis based on the superparamagnetic blocking model10.1016/0304-8853(95)00572-2 ↗
25. Nonlinear dynamic susceptibilities of interacting and noninteracting magnetic nanoparticles10.1016/s0304-8853(00)00557-6 ↗
26. Dynamic studies of γ-Fe2O3 nanoparticle systems10.1016/s0304-8853(00)00665-x ↗
27. Dynamic hysteresis of a superparamagnetic nanoparticle10.1016/j.physb.2003.08.105 ↗
28. Dynamic hysteresis of a superparamagnetic nanoparticle at low-to-intermediate frequencies10.1016/j.jmmm.2005.10.108 ↗
29. Effect of a dc bias field on the dynamic hysteresis of single-domain ferromagnetic particles10.1063/1.3359722 ↗
30. Nonlinear susceptibility and dynamic hysteresis loops of magnetic nanoparticles with biaxial anisotropy10.1063/1.4789848 ↗
31. Forced response and dynamic hysteresis of magnetic nanoparticles with mixed uniaxial and cubic anisotropy in superimposed strong ac and dc bias fields10.1103/physrevb.99.184414 ↗
32. Hysteresis and limiting cycles in a high frequency ac field10.1063/1.1355347 ↗
33. Nonlinear-dynamical-system approach to microwave-assisted magnetization dynamics (invited)10.1063/1.3072075 ↗
34. Damping dependence in dynamic magnetic hysteresis of single-domain ferromagnetic particles10.1103/physrevb.85.094425 ↗
35. Influence of the magnetization damping on dynamic hysteresis loops in single domain particles10.1063/1.3684629 ↗
36. Field orientations and sweep rate effects on magnetic switching of Stoner–Wohlfarth particles10.1063/1.358424 ↗
37. Thermal effects in a Stoner–Wohlfarth model and their influence on magnetic anisotropy determination10.1016/j.jmmm.2003.11.370 ↗
38. A Stoner–Wohlfarth model redux: Dynamic and statistical properties10.1016/j.physb.2008.05.033 ↗
39. Hysteresis loops of an assembly of superparamagnetic nanoparticles with uniaxial anisotropy10.1063/1.3173280 ↗
40. Low frequency hysteresis loops of superparamagnetic nanoparticles with uniaxial anisotropy10.1063/1.3445879 ↗
41. Dynamic symmetry loss of high-frequency hysteresis loops in single-domain particles with uniaxial anisotropy10.1016/j.jmmm.2011.08.022 ↗
42. Inertial effects in ultrafast spin dynamics10.1016/j.jmmm.2023.170830 ↗
43. 1996
44. Deviation from the Landau–Lifshitz–Gilbert equation in the inertial regime of the magnetization10.1063/1.4921908 ↗
45. 1976
46. Nonlinear magnetization relaxation of superparamagnetic nanoparticles in superimposed ac and dc magnetic bias fields10.1103/physrevb.82.100413 ↗
47. Dynamic magnetic hysteresis in single-domain particles with uniaxial anisotropy10.1103/physrevb.82.174423 ↗
48. Nonlinear stationary ac response of the magnetization of uniaxial superparamagnetic nanoparticles10.1063/1.3605536 ↗
49. Thermal fluctuations of a single-domain particle10.1103/physrev.130.1677 ↗