Magnetization reversal induced by irregular shape nanodots in square arrays

Ni₈₀Fe₂₀ nanodots in square arrays of irregular shape (C_1h(m) and x-, y-translations symmetry) and circular shape (D_4h (4/mmm)) nanodots of the same area were fabricated under controlled exposure conditions by e-beam lithography, ion beam sputtering coating and further lift-off. The center-to-center nearest dot distances was 700 nm in all the measured arrays. An unpatterned film was fabricated in the same IBS batch for comparison purposes. Structures and magnetic properties were characterized using AFM, SEM and high-sensitivity focused magneto-optical Kerr effect (MOKE). The mechanism of the magnetization reversal of arrays is discussed in two different scenarios: vortex and single-domain. It has been shown that circular dots reverse only through vortex configuration whereas the irregular does either via single-domain and vortex configuration, depending of the dot size. Variable domain phases are confirmed by OOMMF (Object Oriented Micromagnetic Framework) micromagnetic simulations.     

Magnetization reversal of ferromagnetic nanoparticles under inhomogeneous magnetic field

We investigated remagnetization processes in ferromagnetic nanoparticles under inhomogeneous magnetic field induced by the tip of magnetic force microscope (MFM) in both theoretical and empirical ways. Systematic MFM observations were carried out on arrays of submicron-sized elliptical ferromagnetic particles of Co and FeCr with different sizes and periods. It clearly reveals the distribution of remanent magnetization and processes of local remagnetization of individual ferromagnetic particles. Modeling of remagnetization processes in ferromagnetic nanoparticles under magnetic field induced by MFM probe was performed on the base of Landau–Lifshitz–Gilbert equation for magnetization. MFM-induced inhomogeneous magnetic field is very effective to control the magnetic state of individual ferromagnetic nanoparticles as well as to create different distribution of magnetic field in array of ferromagnetic nanoparticles.     

Magnetization reversal processes in layered high-temperature superconductors with ferromagnetic impurities

The self-consistent interaction of a vortex system of a high-temperature superconductor and ferromagnetic impurities, including single impurities and their clusters, has been considered in the model of a layered high-temperature superconductor. For different temperatures and concentrations of ferromagnetic impurities, the magnetization reversal loops have been calculated by the Monte Carlo method taking into account an ensemble of ferromagnetic particles with different orientations of their easy magnetization axes with respect to the direction of an external magnetic field and for different magnetic anisotropy energies. It has been demonstrated that there is a nonlinear interaction of the high-temperature superconductor with ferromagnetic impurities, in which the initially thermodynamically reversible character of the magnetization reversal of the ferromagnetic ensemble can become irreversible. For a periodic lattice of clusters of ferromagnetic impurities, the magnetization curves of the high-temperature superconductor have been calculated for different sizes and configurations of the clusters. It has been revealed that, when extended defects are oriented parallel to the direction of the entrance of vortices in the sample, the length of the defects does not affect the remanent magnetization. It has been shown that the inclusion of the interaction between the magnetic moments inside the impurity cluster leads to a decrease in the magnetization reversal loop, the coercivity, and, accordingly, the energy loss due to magnetization reversal.     

Magnetization reversal of sub-micron ferromagnetic tunnel junctions in external magnetic fields

Sub-micron sized magnetic tunnel junctions are fabricated by electron beam lithography. Magnetoresistance measurements were done at crossed easy- and hard-axis fields and the critical switching curves for 3 different sub-μm junctions are discussed. Single domain like switching according to the Stoner and Wohlfarth model can be achieved, but Néel coupling effects and AAF stray field effects have to be controlled.     

Fabrication and magnetic behaviour of 2D ordered Fe/SiO2 nanodots array

We have demonstrated a simple and universal morphology-controlled growth of 2D ordered Fe/SiO₂ magnetic nanodots array, which was based on 2D colloidal monolayer template composed of polystyrene (PS) spheres and one-step sol-gel spin-coating technique. The Fe/SiO₂ nanodots have a well-ordered structure arranged in a hexagonal pattern. The dots have the shape of quasi-pyramidal tetrahedron, which reside in the interstitial region between three PS spheres and the substrate. Magnetic measurements reveal that the nanodots array exhibits the in-plane easy magnetization direction. Compared with the unpatterned Fe/SiO₂ thin film, the dots array has lower saturated field, higher remanence and coercivity. The present method is applicable to 2D ordered nanodots array of other magnetic materials.     

Magnetization reversal of small particles in an oscillating magnetic field

The nonlinear behavior of single spherical particles and many-particle ensembles under an external oscillating magnetic field was studied using the Landau-Lifshitz-Gilbert approach. The exact analytical formulae for calculating field frequency and the dependence of the configuration of the initial moment on the system mean magnetization were obtained. Using asymptotic decomposition we obtained simple expressions for describing the nonlinear dynamics of spherical particles in the cases of large and small frequencies. These solutions are in good agreement with numerical calculations of the Landau-Lifshitz-Gilbert equation for the considering systems.     

斯托纳粒子的磁矩翻转

文章根据朗道-利夫席茨-吉尔伯特（Landau-Lifshitz-Gilbert）理论,介绍了斯托纳（Stoner）粒子（单个磁畴的磁性颗粒）磁矩翻转的相关理论.其中指出了有关磁矩翻转的斯托纳-沃尔法特（Wohlfarth）极限（SW极限）只有在阻尼系数无穷大时才是真正准确的.在此极限下,磁矩是沿着能量下降最快的路径翻转.最小的翻转磁场出现在当系统能量曲面中只有一个稳定的不动点的情形.文中还指出了对于一个给定的各向异性的磁体,阻尼系数存在一个临界值,超过它时,最小翻转磁场与SW极限是相同的.低于此临界值,最小翻转磁场可以小于SW极限.对于在有阻尼情况下的弹道式磁矩翻转,文中指出,施加的磁场方向应该处在一特定的方向内.这个方向窗口的宽度与阻尼系数和磁内能有关.对于一给定的磁内能,窗口的上下边界随着阻尼系数的增加而增加,窗口的宽度则随着阻尼系数的增加而呈振荡的变化.在没有阻尼和阻尼无穷大的极限下,窗口宽度变为零。     

斯托纳粒子的磁矩翻转

文章根据朗道-利夫席茨-吉尔伯特(Landau-Lifshitz-Gilbert)理论, 介绍了斯托纳(Stoner)粒子(单个磁畴的磁性颗粒)磁矩翻转的相关理论. 其中指出了有关磁矩翻转的斯托纳-沃尔法特(Wohlfarth)极限(SW极限)只有在阻尼系数无穷大时才是真正准确的. 在此极限下, 磁矩是沿着能量下降最快的路径翻转. 最小的翻转磁场出现在当系统能量曲面中只有一个稳定的不动点的情形. 文中还指出了对于一个给定的各向异性的磁体, 阻尼系数存在一个临界值, 超过它时, 最小翻转磁场与SW极限是相同的. 低于此临界值,最小翻转磁场可以小于SW极限. 对于在有阻尼情况下的弹道式磁矩翻转, 文中指出,施加的磁场方向应该处在一特定的方向内. 这个方向窗口的宽度与阻尼系数和磁内能有关. 对于一给定的磁内能, 窗口的上下边界随着阻尼系数的增加而增加, 窗口的宽度则随着阻尼系数的增加而呈振荡的变化. 在没有阻尼和阻尼无穷大的极限下, 窗口宽度变为零.     

Magnetization reversal in perpendicular exchange-biased multilayers

Co/Pt multilayers with perpendicular magnetic anisotropy exhibit an exchange bias when covered with an IrMn layer. The exchange bias field, which is about 7 mT for 3 Co/Pt bilayer repetitions and a Co layer thickness of 5 Å, can be increased up to 16.5 mT by the insertion of a thin Pt layer at the Co/IrMn interface. The interfacial magnetic anisotropy of the Co/IrMn interface (KSCo/IrMn =-0.09 mJ/m2) favours in-plane magnetization and tends to tilt the Co spins away from the film normal. Dynamical measurements of the magnetization reversal process reveal that both thermally activated spin reversal in the IrMn layer and domain wall nucleation in the Co/Pt multilayer influence the interfacial spin structure and therefore the strength of the perpendicular exchange bias field.     

Magnetization reversal in granular thin films

The paper discusses the physics of magnetization reversal in granular magnetic films. It gives an overview of the key physical properties that determine the collective and macroscopically observable magnetization reversal behavior. In particular, the multitude of observable hysteresis loops is reduced to three key physical quantities, namely the single grain switching field distribution D(h_s), the inter-granular exchange coupling constant J_ex, and the magnetostatic interaction constant J_ms. By varying the relative influence of these quantities, many different shapes of hysteresis loops can occur, which is documented by experimental examples. The regime of partially and strongly correlated reversal is discussed in detail, and minor loop measurements are presented that show scaling behavior for strongly correlated magnetization reversal in the vicinity of hysteresis loop criticality.     

Magnetization of thin films of ferromagnetic superconductors

The magnetization of thin films of ferromagnetic superconductors is theoretically studied. The symmetric and antisymmetric magnetic orders appear in the films depending on the thickness of the films. The magnetization for the symmetric order monotonically increases with decreasing temperature. However, the magnetization curves for the antisymmetric order has a sharp peak near the magnetic phase transition temperature in a weak external magnetic field.     

Magnetization dynamics of an integrable model of 3D ferromagnetic spin system

We formulate the dynamical equation of a 3 dimensional Heisenberg ferromagnetic (FM) spin system with bilinear and anisotropic interactions in the semiclassical limit. In the continuum limit the dynamics is found to be governed by a (3+1) dimensional nonlinear Schrödinger equation. We check the integrability of the dynamics by constructing Lax pair of operators. To express the nonlinear spin excitations in terms of magnetic soliton, we use Darboux transformation(DT) and Hirota bilinearization procedure .     

Magnetization reversal of individual Co nanoislands

We investigate the magnetization reversal of individual Co islands on Cu(111) in the size range of N=700 to 18,000 atoms by spin-polarized scanning tunneling microscopy at 8 K. The switching field H(sw) changes with island size in a nonmonotonic manner: it increases with island size and reaches a maximum value of 2.4 T at N=5500 atoms, and it decreases for larger islands. We extract the energy barrier for magnetization reversal as a function of island size. The maximum H(sw) corresponds to an energy barrier of 1 eV. Our results elucidate a crossover of the magnetization reversal from an exchange-spring behavior to domain wall formation with increasing size at around 7500 atoms.     

Magnetization reversal in weakly coupled magnetic patterns

Ion irradiation is an original process to pattern the structural and as a consequence the magnetic properties of ultra-thin films, down to the nanometer scale. Patterns of dots and tracks have been fabricated by focused Ga⁺ ion beam scanned onto a Co layer with perpendicular magnetic anisotropy. Depending on the dose, the magnetic behaviour of the nanometric irradiated lines can be tuned from the ferromagnetic with reduced coercivity to paramagnetic. The larger the fluence, the smaller is the exchange between dots or tracks. These systems enabled investigations of the competition between exchange and dipolar interactions. For arrays designed with high irradiation doses and only coupled by dipolar interactions, the magnetic relaxation proceeds by the magnetization reversal of individual dots and follows a power-law time decay. Monte Carlo simulations reproduce this time dependence.     

Magnetization reversal process in thin Co nanowires

The magnetoresistance of single Co nanowires of various widths is investigated at low temperatures applying magnetic fields μ₀H up to 4.5 T. The in-plane longitudinal magnetoresistance shows pronounced features at coercive fields H_c explained by the anisotropic magnetoresistance indicating the magnetization reversal process. Monte Carlo simulations present the magnetization distribution during the reversal process, revealing different mechanisms depending on the wire width.     

Magnetization reversal processes in FeSm thin films

We have investigated the in-plane magnetization reversal in FeSm thin films and discovered that it can be controlled through an induced anisotropy. For films with an induced easy direction, reversal is ultra fast and can be characterized approximately using the Fatuzzo model. In films with no pronounced induced easy axis, the reversal is much slower and can be described using a logarithmic model. We have also investigated the short time (1–50 s) dependence of the remanent coercivity and fitted to logarithmic equations. For films with no pronounced easy axis, the time dependence of the coercivity correlates with the film thickness, indicating that the switching volume scales with thickness. For films with an induced easy direction, the time dependence of the coercivity is essentially constant, independent of film thickness, indicating no scalable switching volume.     

Magnetization vector field in a uniaxial ferromagnetic film

Technical Physics - Analytical models for the magnetization vector field B m in a uniaxial ferromagnetic film are studied. Some of them are found to closely approximate B m even if the quality...