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2004, SPIE Proceedings
Magnetization reversal in a ferromagnetic nanowire which is much narrower than the exchange length is believed to be accomplished through the thermally activated growth of a spatially localized nucleus, which initially occupies a small fraction of the total volume. To date, the most detailed theoretical treatments of reversal as a field-induced but noise-activated process have focused on the case of a very long ferromagnetic nanowire, i.e., a highly elongated cylindrical particle, and have yielded a reversal rate per unit length, due to an underlying assumption that the nucleus may form anywhere along the wire. But in a bounded-length (though long) cylindrical particle with flat ends, it is energetically favored for nucleation to begin at either end. We indicate how to compute analytically the energy of the critical nucleus associated with either end, i.e., the activation barrier to magnetization reversal, which governs the reversal rate in the low-temperature (Kramers) limit. Our treatment employs elliptic functions, and is partly analytic rather than numerical. We also comment on the Kramers prefactor, which for this reversal pathway does not scale linearly as the particle length increases, and tends to a constant in the low-temperature limit.
Journal of Applied Physics, 2002
Low temperature magnetization reversal measurements were performed on individual permalloy nanowires of diameters between 30 and 60 nm. During the electrochemical growth of the wire, a defect was induced by a short pulse in the deposition potential modifying locally the microstructure and composition. Magnetic measurements performed with micro-superconducting quantum interference devices were performed. The angular dependence of switching field revealed significant deviations from classical predictions. For specific angles, magnetization curves indicate a reversal occurring in two steps.
Annual Reviews Of Computational PhysicsIX, 2001
As an application of the numerical techniques this overview includes a description of thermally activated reversal modes in models for nanowires. In these systems different reversal modes can occur like coherent rotation, nucleation, and curling, depending on the system geometry and model parameters. Some asymptotic, analytic solutions exist for the relevant energy barriers and for the escape times so that the models introduced are relevant also as test tool for the numerical techniques.
Physica B-condensed Matter, 2004
The analysis of ferromagnetic nanowires is a new and vivid field of research. Micromagnetic simulations based on the finite-element method are being used to gain an insight into the dynamics of the reversal process of such wires. Two different types of reversal modes occur, depending on the wire thickness. While in thin wires a simple domain wall nucleates and propagates along the wire axis, the reversal of thick wires is achieved via a localized curling mode. The latter mode involves the injection and propagation of a micromagnetic singularity (Bloch point). The transition between the different modes is observed in a cone-shaped wire with linearly varying thickness. r
Physical Review Letters, 1996
The switching of the magnetization of single Ni wires with diameters 40-100 nm was measured at temperatures between 0.13 and 6 K. The angular dependence of the switching field was studied for several wire diameters. Repetitive measurements allow us to obtain histograms of the switching field values. For the smallest diameters, the measurements of the probability of reversal revealed a thermally activated switching following an Arrhenius law with an activation volume much smaller than the volume of the wire. [S0031-9007 01046-0] PACS numbers: 75.60. -d, 75.10.Hk
Journal of Magnetism and Magnetic Materials, 2001
We present an extensive study of the magnetic reversal mechanism of Fe and Ni nanowires with diameters down to 6 nm, i.e. smaller than the domain wall width. The coercive "eld at 5 K is a factor of 3 lower than the prediction for rotation in unison. We also observe that the activation energy associated with the reversal process is proportional to the cross-section of the wires and nearly independent of the wire length. From the temperature dependence of the coercive "eld and the magnetic viscosity we can conclude that magnetization reversal takes place via a nucleation of a small magnetic domain, probably at the end of the wire, followed by the movement of the domain wall. For Co wires, we observe a di!erent behavior that is dominated by the competition between the shape anisotropy and the temperaturedependent magnetocrystalline anisotropy.
Journal of Applied Physics, 2003
We have studied the magnetization reversal of two-dimensional ͑2D͒ arrays of parallel ferromagnetic Fe nanowires in nanoporous alumina templates. Combining bulk magnetization measurements using a superconducting quantum interference device with field-dependent magnetic force microscopy ͑MFM͒, we decomposed the macroscopic hysteresis loop in terms of irreversible magnetic responses of individual nanowires. The field-dependent MFM provides a microscopic method by which to obtain the hysteresis curve by registering the fraction of upward and downward magnetized wires for each field. The nanowire system proves to be an excellent example of the 2D classical Preisach model, well-known from the field of hysteresis modeling and micromagnetism.
Journal of Magnetism and Magnetic Materials, 2020
Magnetic nanowires of diameter d with a concentric cylindrical modulation of larger diameter D can lead to the production of devices with a variety of coercive fields. Besides D, the modulation thickness t and its position z along the axis of the wire are varied in the vicinity of values usually reported in the experimental literature. It is shown that the system can be understood as the combination of a long wire (with its usual properties for large aspect ratios), a short wire with lower coercive field and a wider modulation with a tendency to produce an early vortex configuration that softens the whole system from the magnetic point of view. The triggering mechanism to achieve the reversal at different coercive fields is studied by means of snapshots of the configurations just prior to the reversal itself. Altogether, upon spanning the parameter space (D t , , and z) a variety of hysteresis curves are obtained and a large range of coercive fields are shown to be possible. Micromagnetic simulations by means of Mumax3 solving the Landau-Lifshitz-Gilbert equation provide the theoretical framework of this work. Possible extensions of this work are also mentioned.
2010
Micromagnetic simulations were performed to investigate the influence of geometry and magnetic anisotropy constant on energy barrier and magnetization reversal mechanism of individual bits important for the bit patterned media concept in magnetic data storage. It is shown that dependency of the energy barrier on magnetic and geometric properties of bits can be described by an analytical approach in the case of quasi-coherent magnetization rotation process. However, when the bit size exceeds a critical size, for which an incoherent magnetization reversal is preferred, the analytical approach becomes invalid and no self-consistent theory is available. By systematically investigating the influence of bit size on the magnetization reversal mode, it was found that the transition from quasicoherent to incoherent magnetization reversal mode can still be described analytically if an activation volume is considered instead of the bit volume. In this case, the nucleation volume is an important parameter determining thermal stability of the bit. If the volume of the bit is larger than twice the activation volume, the energy barrier stays nearly constant; with further increase in bit size, no gain in thermal stability can be achieved.
IEEE Transactions on Magnetics, 2002
The switching process of granular Co nanowires is investigated using the finite element method. The wires have a diameter of 55 nm and a length of 1000 nm. Transmission electron microscopy (TEM) investigations show two different types of hcpstructured grains. For one, the axis is randomly oriented in a plane perpendicular to the long axis of the wire, and the other has the axis parallel to the long axis. The numerical results show that finite element micromagnetics can explain the influence of the microstructure in magnetic nanosystems.
Journal of Magnetism and Magnetic Materials, 2017
The magnetization reversal mechanisms in soft/hard multisegmented nanowires have been investigated using numerical simulations. In most of the studied systems the magnetization reversal process starts at the ends. However in short soft/hard/soft nanowires, the magnetization reversal process starts at the center of the wire, generating an unusual behavior of the coercivity as a function of the length.
Applied Physics Letters, 2008
We microscopically demonstrate that the magnetic domain is controllably nucleated and erased in the uniformly magnetized wire using a current pulse in small magnetic fields. Lorentz microscopy is performed in Permalloy nanowires with in-plane anisotropy. The stochastic nature of the magnetization reversal due to spin wave and thermal excitations in the absence of magnetic field completely disappears and turns into deterministic in the presence of small magnetic field, which enables the magnetization reversal control. We interpret that the phenomena are associated with Zeeman energy stabilization.
Europhysics Letters (epl), 2001
It is shown that a pulsed current driven through Ni nanowires provokes an irreversible magnetization reversal at a field distant from the spontaneous switching field Hsw by ∆H of as much as 40 % of Hsw. The state of the magnetization is assessed by magnetoresistive measurements carried out on single, isolated nanowires. The reversible part of the magnetization follows that of a uniform rotation. The switching occurs between the two states accessible otherwise by normal field ramping. ∆H is studied as a function of the angle between the applied field and the wire, and also of the direction of the pulsed current. The results are interpreted in terms of spin-flip transfer from the spin-polarized current to the magnetization, while the switching is approximated by a curling reversal mode.
Journal of Applied Physics, 2008
Magnetic nanowires have been shaped in the form of spirals and arranged in different patterns. A two-dimensional periodic array of Fe spiral structures was fabricated by electron-beam lithography. The spirals had a radius of 2.8 m, a linewidth of 100 nm, and a thickness of 20 nm. The magnetization reversal was studied by longitudinal vector magneto-optic Kerr effect ͑MOKE͒ in specular geometry as well as in Bragg MOKE geometry, using the diffraction spots from the grating for hysteresis measurements. The measurements are compared with the results of micromagnetic simulation, which allows a detailed interpretation of the experimental data. The magnetization reversal is characterized by an onion state in remanence and a coercivity which is different for the inner and outer parts of the spiral structures. In general the inner parts of the spiral are more stable and switch later than the outer ones. The switching of the outer parts depends on the boundary condition.
IEEE Transactions on Magnetics, 2009
Arrays of Ni ferromagnetic nanowires of three different diameters (20, 40, and 170 nm) are obtained by electrodeposition into nanoporous alumina templates. Hysteresis curves parallel and perpendicular to the applied field are studied by angle dependent vector vibrating sample magnetometry. Hysteresis curves, from high remanence and coercivity for the smallest diameter, to nearly anhysteretic curves for the largest diameter, can be tuned by varying the diameter of the nanowires. The results show that the magnetic response of these arrays is a combination of coherent and incoherent rotation of magnetization of the nanowires.
Phase Transitions, 2002
Magnetization reversal in Co nanostructures is simulated over a wide range of time-scales, from fast switching processes on a ps time-scale to thermally activated reversal on a µs time-scale. Langevin dynamics is used as well as time quantified Monte Carlo methods for the simulation of a classical spin system modeling elongated Co nano-particles. We study the behavior of the magnetization during the reversal, the energy barriers which are relevant for the thermally activated long-time behavior and the corresponding characteristic times.
Journal of Materials Science, 2018
Ordered arrays of NiFe/Cu multisegmented nanowires (NWs) are fabricated by ac pulse electrodeposition method into the 25-lm thick anodic aluminum oxide templates with a pore diameter of about 40-100 nm inter-pore distance. The behavior of magnetostatic interactions between neighboring NiFe/Cu NWs as well between magnetic segments of the same wire related to the NW length and the magnetic segment thickness is presented. The first-order reversal curves (FORCs) results for two given magnetic shape anisotropies, a nearly diskshaped and a rod-shaped one, reveal a single domain magnetic state along with a constant peak value of FORC coercivity distribution (H c FORC). However, the Major Hysteresis Loop coercivity (H c MHL) shows a significant reduction with an increase in length. In addition, the magnetostatic interaction distribution along the H u axis of FORC diagrams shows a weakly decreasing behavior, in disagreement with existing phenomenological model. In order to resolve this contradiction, the reversible and irreversible components of magnetization were measured. For arrays of multisegmented NWs, the contribution of the reversible components of magnetization rises up to about 70% as NW's length increases which is in contrast for arrays of uniform NWs where a nearly zero reversibility is reported.
FeCoNi nanowire arrays (175 nm in diameter and lengths ranging from 5 to 40 μm) were fabricated into nanopores of hard-anodized aluminum oxide templates using pulsed ac electrodeposition technique. Increasing the length had no considerable effect on the composition and crystalline characteristics of Fe 47 Co 38 Ni 15 nanowires (NWs). By eliminating the dendrites formed at the bottom of the pores, we report a careful investigation on the effect of magnetostatic interactions on magnetic properties and the effect of nanowire length on reversal modes. Hysteresis loop measurements indicated that increasing the length decreases coercivity and squareness values. On the other hand, first-order reversal curve measurements show a linear correlation between the magnetostatic interactions and length of NWs. Comparing reversal modes of the NWs both experimentally and theoretically using angular dependence of coercivity, we find that when L r22 μm, a vortex domain wall mode is only occurred. When L 422 μm, a non-monotonic behavior indicates a transition from the vortex to transverse domain wall propagation. As a result, a critical length was found above which the transition between the reversal modes is occurred due the enhanced interactions. The transition angle also shifts toward a lower angle as the length increases. Moreover, with increasing length from 22 to 31 μm, the single domain structure of NWs changes to a pseudo single domain state. A multidomain-like behavior is also found for the longest NWs length.
Journal of Applied Physics, 2005
We have performed experiments on current-induced domain-wall motion ͑CIDWM͒ in the case of the domain walls ͑DW͒ trapped within the nanoscale constrictions in patterned NiFe structures. Direct observation of current-induced magnetization reversal was achieved and critical current densities j c were measured in the presence of easy-axis magnetic fields. The direction of CIDWM was found to be along the direction of the electron motion in absence of an applied magnetic field and in the direction of the field when in the presence of even relatively weak fields. Data for the field dependence of j c for both uniform and fast rising pulses suggest that the current, regardless of polarity, assists in the depinning of the DW. Only for the dc case does the data strongly reveal the influence of the electron pressure in promoting or hindering DW motion.
Journal of Magnetism and Magnetic Materials, 2007
We have investigated the magnetization reversal mechanism and the effects of magnetostatic interaction in arrays of lithographically defined Permalloy nanowires with a fixed width of 185 nm, spacing of 35 nm and film thicknesses from 10 to 120 nm. The magnetization reversal has been investigated with vectorial Magneto-Optical Kerr Effect magnetometry. The vectorial hysteresis loops (in-plane magnetization components parallel and perpendicular to the applied field) recorded with the external field applied perpendicular to the length of the wires (hard magnetization direction), show a transition from coherent rotation to inhomogeneous reversal mode for wires' thickness above 80 nm. The effects of dipolar interactions are evidenced by the variation of the saturation field in the hard-axis hysteresis loops as a function of wires thickness. In detail, the analysis of the saturation field vs. wires thickness shows that the dipolar interactions start to play a role for wires thickness X20 nm. r
The Journal of Physical Chemistry C
The magnetic properties of radially-oriented Co, Ni, and CoNi alloy nanowires synthesized by pulsed electrodeposition into porous alumina structures are measured and compared with those of similar nanowires grown in a planar geometry. The alloy composition affects the anisotropy axis direction, which is determined by the balance between the magnetocrystalline and shape anisotropies, lying transverse to the nanowires for Co samples and along the nanowire axis for Ni. Monte Carlo simulations were performed to model the magnetic hysteresis of the radiallyoriented and planar geometry nanowires using an approach based on a conical distribution of anisotropies. The model provides an excellent fit compared with experimental hysteresis loops.
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