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2000, Physical Review B
The effect of the antiferromagnetic spin flop on exchange bias has been investigated in antiferromagnetic (MnF 2 ) -ferromagnetic ͑Fe͒ bilayers. Cooling and measuring in fields larger than the antiferromagnetic spinflop field, H SF , causes an irreversible reduction of the magnitude of the exchange bias field, H E . This indicates that, contrary to what is normally assumed, the interface spin structure does not remain ''frozen in'' below T N if large enough fields are applied.
Physical Review B, 2008
We measured directly the depth-dependent Fe spin rotation upon magnetization reversal in exchangecoupled Fe/ MnF 2 bilayers using nuclear resonant scattering of synchrotron radiation from an 57 Fe-probe layer buried at different depths within the Fe film. Our results show that the exchange-biased ferromagnetic layer develops a noncollinear spin structure along the film normal direction, reminiscent of a partial domain wall parallel to the Fe/ MnF 2 interface. This is contrary to most theoretical models of exchange bias which assume a collinear spin structure in the ferromagnetic layer.
Journal of Physics D: Applied Physics, 2006
The influence of an imperfect interface on exchange bias (EB) properties is investigated. Within the framework of the domain state model, the EB field H EB and the coercive field H C are determined using computer simulations, and they are found to depend strongly on the details of the interface structure. This dependence is sensitive to the dilution of the antiferromagnet (AFM) with non-magnetic defects in the bulk. For the optimal interface structure, giving greatest EB, the optimal dilution is found to be much less than that for an ideal-interface system, taking a value in better agreement with experimental results. Even without any defects in the bulk of the AFM the interface roughness leads to EB for thin antiferromagnetic layers, in accordance with the model by Malozemoff. Finally, the thickness dependence of rough-interface systems is found to differ significantly from that of ideal-interface systems.
Physical Review B
We use a magnetic field to manipulate the pinned spins in an Fe/FeO bilayer at room temperature, observing the behavior of the pinned magnetic moment via magnetometry. Our experiment reveals a linear relationship between the exchange bias field and the pinned magnetic moment. Based on the pinned uncompensated spin density at the interface as a function of the pinned moment, we provide a quantitative description of the exchange bias effect via exchange interaction of ferromagnetic and antiferromagnetic spins.
Applied Physics Letters, 1996
Large exchange bias effects (ΔE∼1.1 erg/cm2) were observed in antiferromagnetic (FeF2)–ferromagnetic (Fe) bilayers grown on MgO. The FeF2 grows along the spin-compensated (110) direction. The FeF2–Fe interface roughness was characterized using specular and diffuse x-ray diffraction and atomic force microscopy. The magnitude of the exchange bias field HE increases as the interface roughness decreases. These results imply that magnetic domain creation in the antiferromagnet plays an important role.
Journal of Magnetism and Magnetic Materials
This "Critical Focused Issue" presents a brief review of experiments and models which describe the origin of exchange bias in epitaxial or textured ferromagnetic/antiferromagnetic bilayers. Evidence is presented which clearly indicates that inner, uncompensated, pinned moments in the bulk of the antiferromagnet (AFM) play a very important role in setting the magnitude of the exchange bias. A critical evaluation of the extensive literature in the field indicates that it is useful to think of this bulk, pinned uncompensated moments as a new type of a ferromagnet which has a low total moment, an ordering temperature given by the AFM Néel temperature, with parallel aligned moments randomly distributed on the regular AFM lattice.
Journal of Magnetism and Magnetic Materials, 2005
We study a series of NiFe ð10:0 nmÞ=½Ir 20 Mn 80 ð6:0 nmÞ=Co 80 Fe 20 ð3:0 nmÞ N multilayers with different numbers N of bilayers grown by DC magnetron sputtering. After field-cooling, SQUID and MOKE measurements show a sizable increase of the exchange bias field with N. X-ray specular and diffuse scattering data reveal no significant variation of the lateral correlation length and only a weak dependence of the vertical rms interface roughness on N. Atomic and magnetic force microscopy, however, show a strong reduction of the grain size accompanied by distinct changes of the magnetic domain structure. We conclude that the enhancement of the exchange bias effect is related to the shrinking of the domain size in the antiferromagnet due to the structural evolution in the multilayers. r
2004
Depth-dependent Fe spin structures of the remanent state in exchange-coupled Fe/MnF 2 films have been probed using 57 Fe conversion electron Mössbauer spectroscopy, both above and well below the MnF 2 Néel temperature. 57 Fe probe layers were embedded either at the Fe/MnF 2 interface or in the center of the Fe film. Remarkably, exchange bias induces a significant change of the in-plane angular distribution of the Fe magnetic moments at the interface and inside the Fe film, away from the saturation magnetization direction. Results from vector magnetometry support these conclusions.
Journal of Physics-Condensed Matter, 2013
The magnetothermal behavior of antiferromagnetic IrMn layers of different thickness (3, 6, 10 nm) has been studied by exploiting the exchange coupling with a ferromagnetic 5 nm-thick NiFe layer. A procedure has been devised for the measurement of the magnetization of the NiFe/IrMn bilayers as a function of temperature and time at different values of an external magnetic field, H inv , antiparallel to the unidirectional exchange anisotropy. This analysis allows one to probe the effective distribution of anisotropy energy barriers of the antiferromagnetic phase, as sensed by the ferromagnetic layer. Two magnetic regimes have been distinguished. At temperature T < 100 K, the interfacial IrMn spins are frozen in a glassy state and are collectively involved in the exchange coupling with the NiFe spins. At T ∼ 100 K the collective state breaks up; thus, above this temperature, only the interfacial IrMn spins which are tightly polarized by the IrMn nanograins, forming the bulk of the layer, are effectively involved in the exchange coupling mechanism. Due to that, for T > 100 K the exchange coupling is ruled by the anisotropy energy barriers of the bulk IrMn nanograins, namely by the layer thickness. The thermal evolution of the exchange field and of the coercivity in the three samples is coherently explained in the framework of this description of the dynamic magnetic behavior of the IrMn phase.
Low Temperature Physics, 2009
Field dependences of the magnetization and exchange bias in ferro/antiferromagnetic systems. II. Continuum model of a ferromagnetic layer
Physical Review B, 2002
The dependence of exchange bias on antiferromagnet thickness has been measured in FeF 2 /Fe and MnF 2 /Fe bilayers. The two fluoride systems have identical crystal structures, similar lattice constants, but anisotropy fields that differ by a factor of 20. Hence, by comparing the antiferromagnetic layer thickness dependence of the exchange bias in the two systems we are able to directly establish the effect of the antiferromagnet anisotropy. We find that the critical antiferromagnet thickness for the onset of exchange biasing is an order of magnitude smaller for the more anisotropic fluoride, confirming the often-used assumption that the anisotropy dictates the critical thickness. By measuring the temperature dependence of the exchange bias and the structural morphology of the layers we are able to prove that the effects we observe are not due to the blocking-temperature thickness dependence or the onset of discontinuity in thin antiferromagnet layers.
Journal of Magnetism and Magnetic Materials, 1999
A new ferromagnet/antiferromagnet bilayer system, Fe/KMnF , exhibits interesting interfacial exchange properties. The bulk antiferromagnet KMnF has three possible magnetic states: paramagnetic, antiferromagnetic, and weakly ferromagnetic spin-canted. Consequently, the exchange anisotropy in Fe/KMnF is unusual. We examine the exchange bias in Fe/KMnF as a function of the magnetic state. Monocrystalline Fe(0 0 1) and polycrystalline Fe "lms, 3 nm thick, were grown epitaxially on Ag(0 0 1) templates on GaAs(0 0 1) substrates. Epitaxial KMnF was then grown on both the single-crystal and polycrystal Fe. We measured the low-"eld, zero-"eld-cooled and "eld-cooled magnetizations as functions of temperature. The zero-"eld-cooled single-crystal Fe magnetization is greatly reduced at liquid-helium temperatures. We see the in#uence of the transition from the antiferromagnetic to the spin-canted state on the exchange coupling. The blocking temperature is close to the NeH el temperature (89 K). From the shift in the hysteresis loop, we estimate the strength of the interfacial exchange coupling to be 4.5;10\ J/m.
J Magn Magn Mater, 2002
The spin dynamics of the ferromagnetic pinned layer of ferro-antiferromagnetic coupled NiFe/MnNi bilayers is investigated in a broad frequency range (30 MHz-6 GHz). A phenomenological model based on the Landau-Lifshitz equation for the complex permeability of the F/AF bilayer is proposed. The experimental results are compared to theoretical predictions.
Physical Review B, 2010
Physical Review B, 2003
An analytical model of exchange anisotropy in epitaxial ferromagnetic/antiferromagnetic bilayers was developed. The model demonstrates that the high symmetry exchange anisotropy terms in ferromagnetic/ antiferromagnetic bilayers originate from a partial domain wall in the antiferromagnetic layer. Application of the model to the experimental data analysis enables one to separately determine the fraction of uncompensated interfacial spins in the antiferromagnetic layer and the interfacial exchange coupling energy between spins in the ferromagnet and in the antiferromagnet. The model provides a quantitative description of complex exchange anisotropy recently observed in Fe/MnF 2 bilayers.
Physical Review B, 2000
Analytical expressions have been derived for the exchange bias field, coercivity, and effective anisotropy field in ferromagnetic/antiferromagnetic bilayers in the framework of a model assuming the formation of a planar domain wall at the antiferromagnetic side of the interface with the reversal of the ferromagnetic orientation. It is shown that there are five different sets of analytical expressions for the hysteresis loop displacement and coercivity, which depend on the interfacial exchange coupling strength and ferromagnetic anisotropy, and only one expression for the effective anisotropy field. These expressions are compared with the previously reported theoretical results, and the validity of the latter is discussed. It is shown that in the framework of the present model, the hysteresis loop, ac susceptibility, and ferromagnetic resonance measurements of exchange anisotropy should give the same values for the exchange bias field. The difference between the exchange bias field values, estimated experimentally by ac susceptibility and through hysteresis loop measurements for Co/CoO bilayers, is explained as well.
Physical review letters, 2015
The exchange bias of antiferromagnetic-ferromagnetic (AFM-FM) bilayers is found to be strongly dependent on the ferromagnetic spin configuration. The widely accepted inverse proportionality of the exchange bias field with the ferromagnetic thickness is broken in FM layers thinner than the FM correlation length. Moreover, an anomalous thermal dependence of both exchange bias field and coercivity is also found. A model based on springlike domain walls parallel to the AFM-FM interface quantitatively accounts for the experimental results and, in particular, for the deviation from the inverse proportionality law. These results reveal the active role the ferromagnetic spin structure plays in AFM-FM hybrids which leads to a new paradigm of the exchange bias phenomenon.
Physical Review B, 2002
The angular dependence of the magnetic anisotropy of exchange biased Fe/MnF 2 bilayers was measured. Below the Néel temperature of the antiferromagnetic MnF 2 layer, an exchange anisotropy is observed which consists of unidirectional, uniaxial, threefold and fourfold symmetry components. The threefold exchange anisotropy term is responsible for the asymmetric magnetization reversal process recently observed in this system.
Solid State Communications, 2000
Positive exchange bias (PEB) is a remarkable phenomenon, which was recently observed experimentally. Normal (negative) exchange bias (NEB) was discovered more than 40 years ago. Its signature is the shift of the hysteresis loop along the applied field axis by H E Ͻ 0; in systems where a ferromagnet (FM) is in close contact with an antiferromagnet (AFM). This occurs after the system is cooled below the Néel temperature in an external field H cf of a few kOe. As H cf is substantially increased H E adopts positive values. Here we explain this rather unexpected behavior on the basis of an incomplete domain wall model that develops in the FM, for Fe/FeF 2 and Fe/MnF 2 systems. A consistent and unified picture of both NEB and PEB, and satisfactory quantitative agreement with experimental results are obtained on the basis of our theory.
Journal of Magnetism and Magnetic Materials
We have performed magnetic measurements like temperature (T), cooling field (H FC) dependence of exchange bias (EB) and training effect to investigate the magnetic nature of the interface of the Fe/Ir 20 Mn 80 systems. Thin film bilayer samples of different thicknesses of Ir 20 Mn 80 have been prepared by dc magnetron sputtering at room temperature. The variation of exchange bias field (H EB) with the increase in thickness of Ir 20 Mn 80 predicts the antiferromagnet (AFM) 'bulk' spins contribution to EB. Exponential decay of H EB and coercive field (H C) with temperature reveals the presence of spin glass (SG) like interface. Also, the decrease of H EB with increasing H FC confirms the SG like frustration at the interface. Further, the fitting of training effect experimental data envisages the presence of frozen and rotatable spins at the magnetically frustrated interface of these EB systems.
Low Temperature Physics, 2012
The influence of magnetic anisotropy of ferromagnetic film on the phenomenon of exchange bias is studied. Hysteresis behavior in the 2-spin model of a ferro/antiferromagnet (FM/AFM) bilayer with exchange bias has been investigated in detail. In this model a half-space of AFM with fixed magnetic configuration contacts with a 2-layer FM film. Twelve different types of magnetization curves M(H) (both with and without hysteresis) have been found. Some of the M(H) curves demonstrate unusual features, such as plateaus and inclined segments. The hysteresis loop becomes asymmetric if the surface anisotropy is taken into account. 0 2 2 0 J J J J H .
Physical Review B, 2002
We present a simple model that allows hysteresis loops with exchange bias to be reproduced. The model is a modification of the T = 0 random field Ising model driven by an external field and with synchronous local relaxation dynamics. The main novelty of the model is that a certain fraction f of the exchange constants between neighbouring spins is enhanced to a very large value JE. The model allows the dependence of the exchange bias and other properties of the hysteresis loops to be analyzed as a function of the parameters of the model: the fraction f of enhanced bonds, the amount of the enhancement JE and the amount of disorder which is controlled by the width σ of the Gaussian distribution of the random fields.
Applied Physics Letters, 2003
Exchange bias, H E , and coercivity, H C , of antiferromagnetic ͑AFM͒/ferromagnetic bilayers can be adjusted, after deposition, at temperatures below the Néel temperature of the AFM by subjecting the samples to large pulsed fields ͑in excess of H Pulse ϭ550 kOe). The efficiency of the process depends on the AFM system and the direction of the applied field with respect of the unidirectional anisotropy direction. Textured ͑111͒ Fe 19 Ni 81 /Fe 50 Mn 50 bilayers show an H E reduction and a H C increase when the pulse field is applied antiparallel to the unidirectional anisotropy, while they only exhibit a reduction in H C when the pulse is applied parallel to their unidirectional anisotropy. On the other hand, textured ͑111͒ NiO/Co bilayers exhibit a change of the angular dependence of H E when the pulse is applied away from the unidirectional anisotropy. The effects could be caused by field induced changes in the domain structure of the AFM or transitions in the AFM ͑spin-flop or AFM-paramagnetic͒.
Nanotechnology, 2004
Powders consisting of ferromagnetic (FM) Fe nanoparticles, of about 7 nm in size, embedded in an antiferromagnetic (AFM) Cr 2 O 3 matrix have been obtained by high-temperature reduction under a hydrogen atmosphere of a mixed Cr-Fe oxide. This FM-AFM system exhibits exchange bias effects, i.e. a loop shift (H E ) and coercivity enhancement ( H C ), when field-cooled through the Néel temperature, T N , of Cr 2 O 3 . The exchange bias properties were measured as a function of temperature. H E and H C are found to vanish at about T N (Cr 2 O 3 ), indicating a good quality AFM matrix. Hence, high-temperature reduction of mixed oxides is demonstrated to be a suitable technique to develop new types of FM-AFM exchange-biased nanoparticles, from which novel applications of this phenomenon may be developed.
Physical Review Letters, 2006
The effect of imprinting symmetric and displaced vortex structures into an antiferromagnetic material is investigated in micron-sized disks consisting of exchange coupled ferromagnetic-antiferromagnetic bilayers. The imprint of displaced vortices manifests itself by the occurrence of a new type of asymmetric hysteresis loops characterized by curved, reversible, central sections with nonzero remanent magnetization. Such an imprint is achieved by cooling the disks through the blocking temperature of the system in small fields. Micromagnetic simulations reveal that asymmetric vortexlike loops naturally result from the competition between the different energies involved in the system.
Journal of Applied Physics, 2011
This paper reports experimental results obtained on an unconventional exchange bias (EB) system where the ferromagnetic layer, Ni 0.75 Cu 0.25 , has lower ordering temperature (T C) than that (T N) of the antiferromagnetic one, NiO, with emphasis on modifying EB through either magnetic annealing or light-ion irradiation. Samples were cooled from temperatures higher than T N or in between T C and T N to room temperature with magnetic field applied in different in-plane directions. Upon ion irradiation, magnetic fields, parallel or antiparallel to the orientation of the field present during the films deposition, were applied to explore different effects on EB. We found that the EB direction can be completely reversed by means of either annealing or ion bombardment; however, both postdeposition treatments provide very little variation of the EB field value over that produced during the film's growth. The importance of the annealing field strength was also discussed. The results were interpreted based on a mechanism which assumes that the interfacial moments adjacent to the antiferromagnetic layer are responsible for establishing the exchange biasing in the paramagnetic state. V
Journal of Applied Physics, 2014
The training effect for exchange bias in field-cooled Co/CoO bilayers films is investigated. Previous experiments on the same system have shown that, starting from the ascending branch of the first hysteresis loop, coherent magnetization rotation is the dominant reversal mechanism. This is confirmed by the performed numerical simulations, which also indicate that the training is predominantly caused by changes of the rotatable anisotropy parameters of uncompensated spins at the Co/CoO interface. Moreover, in contrast with what is commonly assumed, the exchange coupling between the rotatable spins and the ferromagnetic layer is stronger than the coupling between the ferromagnet and the spins responsible for the bias. Thus, uncompensated spins strongly coupled to the ferromagnet contribute to the coercivity rather than to the bias, whatever the strength of their magnetic anisotropy. V
Scientific Reports, 2014
The exchange-bias effects in the mosaic epitaxial bilayers of the itinerant ferromagnet (FM) SrRuO 3 and the antiferromagnetic (AFM) charge-ordered La 0.3 Sr 0.7 FeO 3 were investigated. An uncharacteristic low-field positive exchange bias, a cooling-field driven reversal of positive to negative exchange-bias and a layer thickness optimised unusual vertical magnetization shift were all novel facets of exchange bias realized for the first time in magnetic oxides. The successive magnetic training induces a transition from positive to negative exchange bias regime with changes in domain configurations. These observations are well corroborated by the hysteretic loop asymmetries which display the modifications in the AFM spin correlations. These exotic features emphasize the key role of i) mosaic disorder induced subtle interplay of competing AFM-superexchange and FM double exchange at the exchange biased interface and, ii) training induced irrecoverable alterations in the AFM spin structure.
Physical Review Applied, 2018
We investigate the modifications of the exchange bias, effective ferromagnet-antiferromagnet (FM-AFM) coupling, and coercivity in annealed or ion-irradiated Ir-Mn/spacer layer (SL)/Co trilayers. A ferromagnetic, either Fe or permalloy (Py), thin SL or a nonmagnetic Ru one with different thicknesses (t SL) is used. The magnetic characterization is performed at room temperature via conventional magnetometry and, partly, via soft-x-ray magnetic circular dichroism. The latter shows that at the FM-AFM interface there is small uncompensated Mn magnetization coupled, preferentially, antiferromagnetically to Fe moments. This indicates the formation of small FeMn clusters that reverse their magnetizations together with those of Co, Ni, and the rest of Fe. Neither annealing nor ion irradiation of the films with t Fe ≥ 0.5 nm changes significantly the pinning part of the FM-AFM interface. In the Py-spacer films, however, the great tendency of Mn to interdiffuse with Ni leads to a decrease of the Ir-Mn anisotropy at the interface, lowering its pinning capacity. While defects created in the bulk of the AFM are mainly responsible for the changes of the magnetic characteristics of the Ir-Mn/Fe/Co films, interdiffusion and defect creation at the FM-AFM interface are the respective mechanisms determining the behavior of the Py-spacer series. These conclusions are reinforced by results for the Ru-spacer series.