Quasi-static Magnetization Research Articles

Light-induced magnetization from magnonic rectification.

Rectification describes the conversion of an oscillating field or current into a quasi-static one and the most basic example of a rectifier is an AC/DC converter in electronics. This principle can be translated to nonlinear light-matter interactions, where optical rectification converts the oscillating electric field component of light into a quasi-static polarization and phononic rectification converts a lattice vibration into a quasi-static structural distortion. Here, we present a rectification mechanism for magnetism that we call magnonic rectification, where a spin precession is converted into a quasi-static magnetization through the force exerted by a coupled chiral phonon mode. The transiently induced magnetic state resembles that of a canted antiferromagnet, opening an avenue toward creating dynamical spin configurations that are not accessible in equilibrium.

The Effect of Magnetization Reversal Frequency on the Dynamic Magnetic Hysteresis of a Plate Made of Electrical Stee

Electrodynamic, quasi-static magnetic hysteresis loops and the form of the domain texture of a single-crystal plate have been experimentally obtained. Using mathematical modeling, the change in the dynamic magnetic hysteresis (the magnetic loss energy per unit volume per magnetization reversal cycle) depending on the frequency of the magnetic field is shown. This dependence is due to the inertia of the magnetization of the sample. With a change in frequency, the dynamic magnetic hysteresis can differ significantly from the hysteresis in the case of quasi-static magnetization reversal.

Stress-induced Néel vector reorientation in γ -FeMn antiferromagnetic thin films

The relationship between stresses and the orientation of the Néel vector were studied by varying the residual stresses in magnetron sputtered FeMn thin films by adjusting Argon working pressures. Quasistatic magnetization and AC susceptibility measurements reveal that the FeMn film with compressive stress (−27 MPa/−0.015% strain) possesses an out-of-plane Néel vector orientation with a 44 kOe spin-flop field, as contrasted to the FeMn film with tensile stress (25 MPa/0.014% strain) showing an in-plane orientation with a 34 kOe spin-flop field. An energy formulation for the films estimates a magnetostriction value of 109 ppm following an effective anisotropy of −8 kJ/m3. The film with the larger residual stress (77 MPa/0.043% strain) displayed a strain-induced phase transition from γ-FeMn to α-FeMn. These results show the dependency of the Néel vector on the stress state indicative of relatively large magnetostriction.

Measurement and Gaussian model of ferromagnetic viscosity

The exponential model of ferromagnetic susceptibility for steel has been extended to include ferromagnetic viscosity by comparing measured eddy current free susceptibility with the static exponential model. Viscous susceptibility and viscous field advance are derived from the definition of ferromagnetic viscosity. Measurements were performed on both a pipe in an isothermal yoke and a disk in a vibrating sample magnetometer. Yoke design is described and disk corrections for magnetized volume fraction and field demagnetization were computed using a quasistatic magnetization volume integral equation. Accuracy of this model suggests that the four parameters of the static model plus two parameters of the Gaussian model plus one eddy current delay parameter form a complete description of ferromagnetic hysteresis.

Possibility of mechanical fracture of superconducting ring bulks due to thermal stress induced by local heat generation during pulsed-field magnetization

During quasi-static magnetization of bulk superconductors using field-cooled magnetization (FCM) from high fields at low temperatures, such bulks are sometimes broken, which is believed to be mainly due to an electromagnetic force—and subsequent stress—larger than the fracture strength. However, a ring bulk can break, even during pulsed field magnetization (PFM), from relatively lower pulsed fields and at relatively higher temperatures. Previous simulation results suggest that the ring bulk should not break due to the electromagnetic force during PFM. In this paper, taking experimental and numerical results into consideration, we propose the possibility of mechanical fracture of a ring bulk during PFM due to thermal stress induced by local heat generation, which has not been considered and investigated to date. Two numerical models with different sizes of heat-generating region were constructed for the ring bulk with a relatively large inner diameter (60 mm outer diameter, 36 mm inner diameter, 17 mm height). For Model-1, with a large heat region, the bulk fracture due to the thermal stress results from the tensile stress along the radial direction in the neighboring heat region. The risk of bulk fracture is enhanced at the inner or outer edges of the bulk surface, compared with that inside the bulk. For Model-2, with a small heat region inside the bulk, the bulk fracture due to the thermal stress results from the compressive stress along the radial direction in the neighboring heat region. These results strongly suggest the possibility of mechanical fracture of an actual ring bulk due to thermal stress induced by local heat generation. This idea is also applicable more generally to the fracture mechanism during FCM of superconducting bulks.

Simulation of magneto-mechanical response of ferrogel samples with various polymer structure

ABSTRACT Following the coarse-grained molecular dynamics approach, we propose a model of a small ferrogel sample (containing up to 1000 magnetic nanoparticles), in which the polymer matrix is presented in the form of a quasi-regular mesh of spring-beads chains and the filler particles are located at the mesh nodes. The state of the sample in the absence of an external field and in the process of quasi-static magnetization is considered for two types of mesh topology (simple cubic and diamond-like), different values of the filler concentration, the strength of dipole interaction, and the energy of magnetic anisotropy. Simulation shows that the use of a softer matrix with a diamond-like structure increases the magneto-mechanical response of the ferrogel. The presence of magnetic anisotropy leads to effective hardening of the ferrogel and, thus, prevents particle clustering and sample magnetization. It was also found that the anisotropy energy determines the type of field-induced changes in the sample volume – this aspect of material behavior is important for the use of ferrogels in controlled delivery and/or release of drugs.

Modelling of the pulsed field magnetisation of a REBaCuO bulk with a superconducting weld

The Pulsed Field Magnetization (PFM) is a compact and fast method to magnetize superconducting bulks compared to quasi-static magnetization methods like field- or zero-field-cooling. However, the heat generation induced by the strong applied variable magnetic field during the PFM makes high trapped magnetic field harder to achieve. In order to make the REBaCuO bulks easier to magnetize by PFM, superconducting bulks including a superconducting weld are studied by considering the electromagnetic properties of the weld different from those of the bulk body. This artificial grain boundary obtained by superconducting welding method might increase the trapped magnetic flux without increasing the applied magnetic field. In this paper, we are modelling the superconducting weld behavior during PFM using a 3D finite element model with the software COMSOL Multiphysics. The simulations are based on an H-formulation from Maxwell’s equations and the heat diffusion equation. We analyse the impact of the critical current Jc of the weld on the trapped magnetic field.

Exchange-bias and magnetic anisotropy fields in core\u2013shell ferrite nanoparticles

Exchange bias properties of MnFe_2O_4@gamma–Fe_2O_3 core–shell nanoparticles are investigated. The measured field and temperature dependencies of the magnetization point out a well-ordered ferrimagnetic core surrounded by a layer with spin glass-like arrangement. Quasi-static SQUID magnetization measurements are presented along with high-amplitude pulse ones and are cross-analyzed by comparison against ferromagnetic resonance experiments at 9 GHz. These measurements allow one to discern three types of magnetic anisotropies affecting the dynamics of the magnetic moment of the well-ordered ferrimagnetic NP’s core viz. the easy-axis (uniaxial) anisotropy, the unidirectional exchange-bias anisotropy and the rotatable anisotropy. The uniaxial anisotropy originates from the structural core–shell interface. The unidirectional exchange-bias anisotropy is associated with the spin-coupling at the ferrimagnetic/spin glass-like interface; it is observable only at low temperatures after a field-cooling process. The rotatable anisotropy is caused by partially-pinned spins at the core/shell interface; it manifests itself as an intrinsic field always parallel to the external applied magnetic field. The whole set of experimental results is interpreted in the framework of superparamagnetic theory, i.e., essentially taking into account the effect of thermal fluctuations on the magnetic moment of the particle core. In particular, it is found that the rotatable anisotropy of our system is of a uniaxial type.

Microscale model of ferrogel samples with different polymer matrix structure

Ferrogels is a group of soft magnetically active composite materials with polymer gel (generally hydrogel) matrix filled by ferromagnetic colloid particles. Pronounced interrelation between magnetic and mechanical properties of ferrogels together with their biocompatibility make ferrogels attractive for various bio-medical applications. Evolution of ferrogel internal structure plays pivotal role in formation of unique magnetic mechanical behavior of ferrogel. Difficulty of direct observation on the structure scales enhances importance of theoretical (and numerical) study on ferrogels. The paper presents the results of modeling the behavior of a small ferrogel sample (up to 1000 magnetic particles) obtained using the method of coarse-grained molecular dynamics. The composite matrix is imitated by a quasi-regular mesh of ideal spring-beads chains, and single-domain magnetic particles with uniaxial anisotropy are placed in nodes of this mesh. The state of the sample is considered in the absence of external action, as well as in cycles of quasi-static magnetization for two variants of the topology of the polymer network (simple cubic and diamond-like), for different values of the magnetic moment of particles, their concentration, and anisotropy energy. Simulation has shown that samples with softer matrix (i.e. of diamond-like structure) demonstrate more noticeable magnetic deformation effects. The presence of magnetic anisotropy excites additional local stresses during particle moment reorientations, which complicates particles clustering and sample magnetization. Moreover, it has been found that anisotropy energy determines the character of the field induced change in the sample volume.

Features of the quasi-static and dynamic magnetization switching in NiO nanoparticles: Manifestation of the interaction between magnetic subsystems in antiferromagnetic nanoparticles

We report on the investigations of a system of 8-nm NiO particles representing antiferromagnetic (AFM) materials, which are weak magnetic in the form of submicron particles, but can be considered to be magnetoactive in the form of nanoparticles due to the formation of the uncompensated magnetic moment in them. The regularities of the behavior of magnetization switching in AFM nanoparticles are established by studying the magnetic hysteresis loops under standard quasi-static conditions and in a quasi-sinusoidal pulsed field of up to 130 kOe with pulse lengths of 4–16 ms. The magnetic hysteresis loops are characterized by the strong fields of the irreversible magnetization behavior, which is especially pronounced upon pulsed field-induced magnetization switching. Under the pulsed field-induced magnetization switching conditions, which are analogous to the dynamic magnetic hysteresis, the coercivity increases with an increase in the maximum applied field H0 and a decrease in the pulse length. This behavior is explained by considering the flipping of magnetic moments of particles in an external ac magnetic field; however, in contrast to the case of single-domain ferro- and ferrimagnetic particles, the external field variation rate dH/dt is not a universal parameter uniquely determining the coercivity. At the dynamic magnetization switching in AFM nanoparticles, the H0 value plays a much more important role. The results obtained are indicative of the complex dynamics of the interaction between magnetic subsystems formed in AFM nanoparticles.

Reading depth of the magnetic Barkhausen noise. I. One-phase semi-hard ribbons

The aim of this two-part work is to determine the effective depth from which the magnetic Barkhausen noise is detected. To achieve this, we have tested different materials for which the effect of reading depth is critical. This first part presents results of the measurements of a set of martensitic steel ribbons. The ribbons of varying thicknesses (from 10 μm up to 1 mm) have been measured in different magnetizing configurations (solenoid and yokes) ensuring homogeneous quasi-static magnetization. The Barkhausen noise signal obtained has a standard one-peak profile. The rms intensity of the Barkhausen noise signal rises up to a ribbon thickness of ~200μm when a sample-wrapping search coil is used for detection. However, the practical industrial method of the surface-mounted bobbin coil gives a lower rise of the rms intensity in a smaller thickness range up to ~50μm.

Absence of μSR evidence for magnetic order in the pseudogap phase of Bi2+xSr2−xCaCu2O8+δ

We present an extended zero-field muon spin relaxation (ZF-$\mu$SR) study of overdoped Bi$_{2+x}$Sr$_{2-x}$CaCu$_2$O$_{8+\delta}$ (Bi2212) single crystals, intended to elucidate the origin of weak quasistatic magnetism previously detected by $\mu$SR in the superconducting and normal states of optimally-doped and overdoped samples. New results on heavily-overdoped single crystals show a similar monotonically decreasing ZF-$\mu$SR relaxation rate with increasing temperature that persists above the pseudogap (PG) temperature $T^*$ and does not evolve with hole doping ($p$). Additional measurements using an ultra-low background apparatus confirm that this behavior is an intrinsic property of Bi2212, which cannot be due to magnetic order associated with the PG phase. Instead we show that the temperature-dependent relaxation rate is most likely caused by structural changes that modify the contribution of the nuclear dipole fields to the ZF-$\mu$SR signal. Our results for Bi2212 emphasize the importance of not assuming the nuclear-dipole field contribution is independent of temperature in ZF-$\mu$SR studies of high-temperature (high-$T_c$) cuprate superconductors, and do not support a recent $\mu$SR study of YBa$_2$Cu$_3$O$_{6+x}$ that claims to detect magnetic order in the PG phase.

An Improved Loss-Separation Method for Transformer Core Loss Calculation and Its Experimental Verification

The separation of core loss plays an important role in the transformer loss calculation. To obtain more accurate core loss, based on the comparison and analysis on two traditional loss separation methods, an improved loss separation method was proposed for the core loss calculation of the transformer in a wide magnetic flux density range. Firstly, through analysis the eddy current loss was obtained by direct calculation, while the hysteresis loss was obtained by performing the quasi-static magnetization process. And the coefficient corrections for the hysteresis loss and eddy current loss calculation were conducted by using the experimental data. The result comparison between the proposed method and traditional ones were made. Secondly, by setting up the Epstein frame platform, the total loss and static hysteresis loss of 14 types of industrial silicon steel were measured. In addition, the suggestive values and the corresponding value range of the loss coefficients of 14 kinds of industrial silicon steel were given. The results obtained by the proposed method were in good agreement with the measured data in the wide magnetic flux density range, while the suggestive values and the corresponding value range of 14 kinds of industrial silicon steel can provides an effective data support for the accurate core loss calculation.

Intrinsic Low-Temperature Magnetism in SmB_{6}.

By means of new muon spin relaxation experiments, we disentangle extrinsic and intrinsic sources of low-temperature bulk magnetism in the candidate topological Kondo insulator (TKI) SmB_{6}. Results on Al-flux-grown SmB_{6} single crystals are compared to those on a large floating-zone-grown ^{154}Sm ^{11}B_{6} single crystal in which a 14meV bulk spin exciton has been detected by inelastic neutron scattering. Below ∼10 K, we detect the gradual development of quasistatic magnetism due to rare-earth impurities and Sm vacancies. Our measurements also reveal two additional forms of intrinsic magnetism: (1)underlying low-energy (∼100 meV) weak magnetic moment (∼10^{-2} μ_{B}) fluctuations similar to those detected in the related candidate TKI YbB_{12} that persist down to millikelvin temperatures, and (2)magnetic fluctuations consistent with a 2.6meV bulk magnetic excitation at zero magnetic field that appears to hinder surface conductivity above ∼4.5 K. We discuss potential origins of the magnetism.

Quasi-static asymmetric magnetization for hemisphere structure

Understanding the dynamic magnetization for nanoscale structures has been attracting considerable attention; however, it is extremely limited to uncover such a behavior due to the difficulty in experimentally observing the fast magnetization states. Herein, we theoretically demonstrate in-plane magnetization processes of spherical and hemispherical structures with a diameter of 50 nm by using micromagnetic simulation, presenting symmetrical and asymmetrical vortex structures, respectively. It is emphasized that such an asymmetrical vortex structure is only presented in a quasi-static magnetization state when the external field is at nearly 23 mT along with the symmetric axis. This is associated with an instantaneous evolution from the S-shaped vortex to the C-shaped vortex, ascribed to the lower demagnetization energy for the hemisphere structure compared with that for the sphere structure. The present study could thus open up an insight for designing irregular magnetic structures and understanding the nanoscale magnetic behaviors.

Dynamics of the magnetic nanoparticles lattice in an external magnetic field

In this paper the processes of quasi-static and dynamic magnetization reversal are studied for square lattices of magnetic nanodipoles with cubic crystallographic anisotropy. The response of the total magnetic moment to the magnetic field pulse of different duration and polarization is determined for different orientational configurations of dipoles. The oscillation modes of the total magnetic moment under alternating magnetic field are also investigated. Regular, quasiperiodic and chaotic oscillatory regimes have been found. The conditions under which oscillations propagate from individual dipoles to the whole system have been revealed.

Quasistatic antiferromagnetism in the quantum wells of SmTiO3/SrTiO3 heterostructures

High carrier density quantum wells embedded within a Mott insulating matrix present a rich arena for exploring unconventional electronic phase behavior ranging from non-Fermi-liquid transport and signatures of quantum criticality to pseudogap formation. Probing the proposed connection between unconventional magnetotransport and incipient electronic order within these quantum wells has however remained an enduring challenge due to the ultra-thin layer thicknesses required. Here we address this challenge by exploring the magnetic properties of high-density SrTiO3 quantum wells embedded within the antiferromagnetic Mott insulator SmTiO3 via muon spin relaxation and polarized neutron reflectometry measurements. The one electron per planar unit cell acquired by the nominal d0 band insulator SrTiO3 when embedded within a d1 Mott SmTiO3 matrix exhibits slow magnetic fluctuations that begin to freeze into a quasistatic spin state below a critical temperature T*. The appearance of this quasistatic well magnetism coincides with the previously reported opening of a pseudogap in the tunneling spectra of high carrier density wells inside this film architecture. Our data suggest a common origin of the pseudogap phase behavior in this quantum critical oxide heterostructure with those observed in bulk Mott materials close to an antiferromagnetic instability.

Dynamics of a lattice of magnetic nanoparticles under action of a pulse of a magnetic field

Processes of quasistatic and dynamic magnetization reversal have been studied for the case of planar 6 × 6 lattices of magnetic nanodipoles that possess a cubic crystallographic anisotropy. The response of the total magnetic moment to a magnetic-field pulse of various duration and polarization have been determined for different equilibrium configurations of the lattices. Along with the in-plane configurations of magnetic moments, configurations with one and two dipoles oriented perpendicular to the plane of the lattices have been considered.

Spontaneous nucleation and topological stabilization of skyrmions in magnetic nanodisks with the interfacial Dzyaloshinskii–Moriya interaction

One of the major societal challenges is reducing the power consumption of information technology (IT) devices and numerous data centers. Distinct from the current approaches based on switching of magnetic single-domain nanostructures or on movement of domain walls under high currents, an original magnetic skyrmion technology offers ultra-low power, fast, high-density, and scalable spintronic devices, including non-volatile random access memory. Using data-driven micromagnetic simulations, we demonstrate the possibility of spontaneous nucleation and stabilization of different skyrmionic states, such as skyrmions, merons, and meron-like configurations, in heavy metal/ferromagnetic nanodisks with the interfacial Dzyaloshinskii–Moriya interaction (iDMI) as a result of quasi-static magnetization reversal only. Since iDMI is not easily modulated in real systems, we show that skyrmion stabilization is easily achievable by manipulating magnetic anisotropy, saturation magnetization, and the diameters of nanodisks. The state diagrams, presented in terms of the topological charge, allow to explicitly distinguish the intermediate states between skyrmions and merons and can be used for developing a skyrmionic medium, which has been recently proposed to be a building block for future spin-orbitronic devices.

Exploring the magnetization dynamics of NiFe/Pt multilayers in flexible substrates

We investigate the structural and magnetic properties, and the magnetization dynamics in Ni81Fe19/Pt multilayer systems grown onto rigid and flexible substrates. The structural characterization shows evidence of a superlattice behavior, while the quasi-static magnetization characterization reveal a weak magnetic anisotropy induced in the multilayers. The magnetization dynamics is investigated through the magnetoimpedance effect. We employ a theoretical approach to describe the experimental magnetoimpedance effect and verify the influence of the effective damping parameter on the magnetization dynamics. Experimental data and theoretical results are in agreement and suggest that the multilayers present high effective damping parameter. Moreover, our experiments raise an interesting issue on the possibility of achieving considerable MI% values, even for systems with weak magnetic anisotropy and high damping parameter grown onto flexible substrates.