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A spin-glass model consisting of a kinetic Ising model with random nearest-neighbor interactions is studied by Monte Carlo methods. As in real experiments the system is cooled, and a magnetic field is applied and then switched off. Below a freezing temperature Tf both an irreversible and a reversible magnetic susceptibility are observed. A remanent magnetization M occurs which decays very slowly with time t with a power law M∼t-a to the equilibrium value M=0. For different cooling procedures different remanent magnetizations are discussed as a function of temperature and previously applied field. A characteristic difference between field cooled (TRM) and isothermal (IRM) remanent magnetization is observed in the field dependence of the exponent a. Many of the predictions resemble experimental results. In the second part an exactly solvable spin-glass model incorporating a symmetric distribution of random interactions and frustration is introduced. Since the range of the interactions is infinite there exist no local clusters in this model. A phase transition with a cusp in the susceptibility, a remanent magnetization, and a ferromagnet—spin-glass transition are found.
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γ-Fe2O3 magnetic nanoparticles, with a very high surface to volume ratio, exhibit both strong exchange anisotropy and magnetic training effect. At the same time high field irreversibility in MH curves and zero field cooled-field cooled (ZFC-FC) processes has also been detected. A low temperature spin-glass-like transition is evidenced at TF~42 K with strong irreversibility even at H = 55 kOe. TFH evolves following the well known de Almeida-Thouless line δTF~H2/3. The thermal dependence of the exchange anisotropy field HE is described by the random-field model of exchange anisotropy. In the framework of this theory, a surface spin-glass layer about 0.6 nm thick is determined.
Article
We report for the first time a novel precursor-templated conversion method for the controlled synthesis of hierarchically nanostructured magnetic hollow spheres assembled by Fe3O4 or γ-Fe2O3 nanosheets with a relatively high saturation magnetization. We synthesized hierarchically nanostructured hollow spheres organized by nanosheets of a layer-structured ferrous precursor by a microwave-assisted hydrothermal method in ethylene glycol (EG). Ferric chloride (FeCl3·6H2O) was used as the iron source, and EG acted as both a solvent and a reductant to reduce ferric salt to ferrous precursor in the presence of sodium hydroxide (NaOH) and sodium dodecyl benzene sulfonate (SDBS). The precursor was heated to prepare hierarchically nanostructured magnetic hollow spheres assembled by Fe3O4 or γ-Fe2O3 nanosheets, which were surface-modified with poly(ethylene glycol) (PEG). The surface-modified hierarchically nanostructured magnetic hollow spheres were explored as drug carriers. A typical anti-inflammatory drug, ibuprofen, was used for drug loading, and the release behaviors of ibuprofen in a simulated body fluid (SBF) were studied. The results indicate that these hierarchically nanostructured magnetic hollow spheres of Fe3O4 or γ-Fe2O3 have a high drug loading capacity and favorable release property for ibuprofen; thus, they are very promising for application in drug delivery. The samples were characterized by XRD, TEM, SEM, TG/DSC, BET, PPMS, FTIR, and UV−vis.
Article
Manganese-substituted cobalt ferrite nanoparticles coated with triethylene glycol (TREG) have been prepared by the glycothermal reaction. The effect of Mn substitution and coating on temperature-dependent magnetic properties of the TREG-coated Mnx Co1−x Fe2O4 nanoparticles (0.0 ≤ x ≤ 0.8) with size of ~5–7 nm has been investigated in the temperature range of 10–300 K in a magnetic field up to 9 T. After the irreversible processes of the magnetic hysteresis curves were completed, the high-field regions of these curves were fitted by using a ‘law of approach to saturation’ to extract the magnetic properties, such as the effective anisotropy constant (K eff) and the anisotropy field (H A) etc. High coercive field of 12.6 kOe is observed in pure cobalt ferrite coated with TREG at 10 K. The low temperature unsaturated magnetization behaviour indicates the core–shell structure of the Mnx Co1−x Fe2O4 NPs. Zero-field-cooled (ZFC) and field-cooled (FC) measurements revealed superparamagnetic phase of TREG-coated Mnx Co1−x Fe2O4 nanoparticles at room temperature. The blocking and irreversibility temperatures obtained from ZFC–FC curves decrease at highest Mn concentration (x = 0.8). The existence of spin-glass-like surface layer with freezing temperature of 215 K was established with the applied field dependence of the blocking temperatures following the de Almeida–Thouless line for the Mn0.6Co0.4Fe2O4 NPs. The shifted hysteresis loops with exchange bias field of 60 Oe and high-field irreversibility up to 60 kOe in FC M–H curve at 10 K show that spin-glass-like surface spins surrounds around ordered core material of the Mn0.6Co0.4Fe2O4 NPs. FMR measurement show that all the TREG-coated Mnx Co1−x Fe2O4 nanoparticles absorb microwave in broad field range of about ten thousands Oe. The spectra for all the samples have broad linewidth because of angular distributions of easy axis and internal fields of nanoparticles.
Article
A study was conducted to demonstrate a facile and reproducible technique for synthesizing gold/iron oxide nanoparticles with controllable thickness and morphology of the outer oxide shell. Different aspects of the synthetic approach were analyzed and optical ad magnetic properties of these composite materials were discussed. The study demonstrated the strategy to grow hollow nanoshells encapsulating several nanoparticles. The synthesis of gold nanoparticles encapsulated within hollow iron oxide shell involved three steps, such as synthesizing gold nanoparticles, deposition of iron oxide shell around the gold core, and oxidation of the iron oxide shell, to form a hollow iron oxide shell through Kirkendall effect. It was observed that gold nanoparticles catalyzed the decomposition of Fe(CO)5 and lowered the decomposition temperature from 150-135°C.
Article
Intrinsic properties of magnetic nanoparticles are reviewed, with special emphasis on the e!ects of "nite size on zero-temperature spin ordering, magnetic excitations, and relaxation. E!ects on zero-temperature spin ordering include moment enhancement due to band narrowing in 3d transition metal particles, surface spin disorder in ferrite particles, and multi-sublattice states in antiferromagnetic oxide particles. Magnetic excitations include discretized spin wave modes, and surface modes that have been detected by quasielastic neutron scattering. Thermally activated and quantum tunneling relaxation is discussed in the context of ideal single-domain particles, as well as particles with surface spin disorder. 1999 Elsevier Science B.V. All rights reserved.
Article
Magnetic properties in a magnetically textured ferrofluid made out of interacting maghemite (γ -Fe <sub>2</sub> O <sub>3</sub>) nanoparticles suspended in glycerin have been investigated. Despite the loss of uniform distribution of anisotropy axes, a superspin glass state exists at low temperature in a concentrated textured ferrofluid as in the case of its nontextured counterpart. The onset of superspin glass state was verified from the sample’s ac susceptibility. The influence of the anisotropy axis orientation on the aging behavior in the glassy states is also discussed.
Article
In this letter we show the presence of a spin-glass like phase in single crystals of magnetoelectric gallium ferrite (GaFeO3) below ~210 K via temperature dependent ac and dc magnetization studies. Analysis of frequency dispersion of the susceptibility peak at ~210 K using the critical slowing down model and Vogel-Fulcher law strongly suggests the existence of a classical spin-glass like phase. This classical spin glass behavior of GaFeO3 is understood in terms of an outcome of geometrical frustration arising from the inherent site disorder among the antiferromagnetically coupled Fe ions located at octahedral Ga and Fe sites.
Article
Material design in terms of their morphologies other than solid nanoparticles can lead to more advanced properties. At the example of iron oxide, we explored the electrochemical properties of hollow nanoparticles with an application as a cathode and anode. Such nanoparticles contain very high concentration of cation vacancies that can be efficiently utilized for reversible Li ion intercalation without structural change. Cycling in high voltage range results in high capacity (∼132 mAh/g at 2.5 V), 99.7% Coulombic efficiency, superior rate performance (133 mAh/g at 3000 mA/g) and excellent stability (no fading at fast rate during more than 500 cycles). Cation vacancies in hollow iron oxide nanoparticles are also found to be responsible for the enhanced capacity in the conversion reactions. We monitored in situ structural transformation of hollow iron oxide nanoparticles by synchrotron X-ray absorption and diffraction techniques that provided us clear understanding of the lithium intercalation processes during electrochemical cycling.
Article
Discontinuous magnetic multilayers [CoFe/Al2O3] are studied by use of magnetometry, susceptometry and numeric simulations. Soft ferromagnetic Co80Fe20 nanoparticles are embedded in a diamagnetic insulating a-Al2O3 matrix and can be considered as homogeneously magnetized superspins exhibiting randomness of size (viz. moment), position and anisotropy. Lacking intra-particle core-surface ordering, generic freezing processes into collective states rather than individual particle blocking are encountered. With increasing particle density one observes first superspin glass and then superferromagnetic domain state behavior. The phase diagram resembles that of a dilute disordered ferromagnet. Criteria for the identification of the individual phases are given.
Article
This review summarizes recent developments in the theory of spin glasses, as well as pertinent experimental data. The most characteristic properties of spin glass systems are described, and related phenomena in other glassy systems (dielectric and orientational glasses) are mentioned. The Edwards-Anderson model of spin glasses and its treatment within the replica method and mean-field theory are outlined, and concepts such as "'frustration"', "'broken replica symmetry"' "'broken ergodicity"', etc., are discussed. The dynamic approach to describing the spin glass transition is emphasized. Monte Carlo simulations of spin glasses and the insight gained by them are described. Other topics discussed include site-disorder models, phenomenological theories for the frozen phase and its excitations, phase diagrams in which spin glass order and ferromagnetism or antiferromagnetism compete, the Neel model of superparamagnetism and related approaches, and possible connections between spin glasses and other topics in the theory of disordered condensed-matter systems.
Article
The magnetic properties of a spin-glass depend on the time spent in the low-temperature phase : this is the so-called ageing phenomenon. We present measurements of the low-frequency a.c. susceptibility (0.01 to 0.1 Hz) and of the relaxation of the thermo-remanent magnetization in the CdCr1.7 In0.3S4 insulating spin-glass ; we investigate the influence of temperature variations on the ageing processes in the spin-glass phase, in order to get a better insight into their mechanism. The wide spectrum of relaxation times observed in spin-glass dynamics reflects the existence of many energy valleys in the phase space ; a hierarchical organization of these valleys, whose bifurcations appear as the temperature is decreased, is the simplest picture which accounts for our results. Les propriétés magnétiques d'un verre de spin dépendent du temps passé dans sa phase basse température: c'est le phénomène de vieillissement. Nous présentons des mesures de susceptibilité alternative à basse fréquence (0.01 à 0.1 Hz) et de relaxation de l'aimantation thermo-rémanente dans le verre de spin isolant CdCr1.7In0.3S4 ; nous étudions l'influence de variations de température sur le vieillissement dans la phase verre de spin pour mieux interpreter le mécanisme de ce processus. Le large spectre de temps de relaxation observé dans la dynamique des verres de spins reflète l'existence de nombreuses vallées d'énergie dans l'espace des phases ; une organisation hierarchique de ces vallées, dont les bifurcations apparaissent quand la température diminue, est le schéma le plus simple qui prenne en compte l'ensemble de nos résultats.
Article
A phenomenological theory of the ordered phase of short-range Ising spin glasses is developed in terms of droplet excitations and presented in detail. These excitations have free energies with a broad distribution whose characteristic magnitude grows with length scale L as ${L}^{$\theta${}}$. A small fraction of droplets of all scales are thermally active; these dominate much of the physics. The mean-square correlation functions are found to decay with distance as 1/${r}^{$\theta${}}$ for all T${T}_{c}$ and the autocorrelations decay logarithmically with time because of large activation barriers for creation and annihilation of the droplet excitations. A renormalization procedure is sketched in order to define excitations at positive temperature. It is found that the long-distance equilibrium correlation functions are extremely sensitive to small temperature changes, yielding breakdown of certain relations between fluctuations and thermodynamic derivatives. The behavior near to the critical temperature is discussed and some of the ideas are extended to systems with power-law interactions and to spin glasses with X-Y or Heisenberg symmetry. The inequality $\theta${}$\le${}(d-1)/2 is also derived.
Article
We consider the nonequilibrium behavior of the spin-glass ordered phase within the droplet scaling theory introduced previously. The fundamental long-time nonequilibrium process is assumed to be the thermally activated growth of spin-glass ordered domains. The remanent magnetization, m(t), in zero field is found to decay at long times as m(t)∼Rt-λ, where Rt∼(lnt)1/ψ is the linear domain size, ψ is the previously introduced barrier exponent describing the growth of activation-barrier heights with length scale, and λ is a new nonequilibrium dynamic exponent, satisfying the relation λ≥d/2 for d-dimensional systems. The effects of waiting for partial equilibration before making a measurement are studied in various regimes. The effects of quenching first to one temperature and then to another are also examined. Such experiments can, in principle, be used to obtain information about the relative rate of dynamic evolution as well as the overlap between the equilibrium states at different temperatures. In particular, the length scale LΔT, below which equilibrium correlations at temperatures T and T+ΔT are similar, plays an important role. The decay of m(t) and the growth of spin-glass order after a quench are examined in Monte Carlo simulations of the Sherrington-Kirkpatrick model.
Article
The dynamics of the short-range Ising spin-glass Fe0.5Mn0.5TiO3 has been investigated in a SQUID magnetometer. The dynamic spin-correlation function, q(t), as reflected in low-field ac susceptibility and time-dependent magnetization measurements, was studied in the time interval 10-6-104 sec. The functional form of q(t) shows a remarkable agreement with the results obtained from Monte Carlo simulations on a three-dimensional Ising spin-glass. The temperature dependence of the relaxation times above the spin-glass temperature is well described by conventional power-law scaling.