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1997, Physical Review B
The temperature dependence of the exchange bias (H E ) near the FeF 2 Ne ´el temperature (ϳ 78.4 K͒ was correlated with structural measurements in FeF 2 -Fe bilayers. Low-angle x-ray diffraction and atomic force microscopy show that samples with larger height fluctuations have larger lateral grain sizes. Samples with larger lateral grain sizes exhibit a surface critical exponent ( S ϳ0.8) while samples with smaller grains and smaller height fluctuations have a decreased  S , indicating a more three-dimensional-like phase transition or an increase in the FeF 2 surface exchange interaction. ͓S0163-1829͑97͒05230-2͔
Physical Review B, 1999
We have studied the effect of the interface structure on the exchange bias in the FeF 2-Fe system, for FeF 2 bulk single crystals or thin films. The exchange bias depends very strongly on the crystalline orientation of the antiferromagnet for both films and crystals. However, the interface roughness seems to have a strong effect mainly on the film systems. These results indicate that the exchange bias depends strongly on the spin structure at the interface, especially on the angle between the ferromagnetic and antiferromagnetic spins. We have also found a strong dependence of the hysteresis loops shape on the cooling field direction with respect to the antiferromagnetic anisotropy axis, induced by a rotation of the ferromagnetic easy axis as the sample is cooled through T N. For the single crystal systems the results imply the existence of a perpendicular coupling between the antiferromagnetic and ferromagnetic spins at low temperatures. ͓S0163-1829͑99͒02610-7͔
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.
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, 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.
Physical Review Letters, 2007
Fe=Mn is a model system in which to study exchange bias, since the antiferromagnetic (AF) Mn layers are believed to have uncompensated moments with all spins aligned in the plane and parallel to those of the Fe. We have determined the microscopic AF ordering at the interfaces using single-crystal neutron diffraction. An unexpected magnetic structure is obtained, with out-of-plane Mn moments perpendicular to those of Fe. This explains the low bias field and shows that the simple AF ordering assumed in a variety of exchange-biased systems may well have to be revised.
Journal of Applied Physics, 1998
Two measurement techniques, both relying on reversible rotations of the magnetization, have been used to determine the magnitude of the interfacial exchange energy ͑IEE͒ between ferromagnetic and antiferromagnetic ͑F/AF͒ layers. One technique is to use the anisotropic magnetoresistance to determine rotations of the magnetization away from the unidirectional easy axis, where the rotation is accomplished by applying external magnetic fields less than the effective F/AF exchange field. The second technique uses measurements of the ac susceptibility as a function of the angle between the ac field and the unidirectional exchange field. Both of the reversible process techniques result in values of the IEE larger ͑by as much as a factor of 10 in Co/CoO bilayers͒ than the traditional irreversible technique of measuring a shift in the hysteresis loop. The ac susceptibility technique was also used to measure one Fe/FeF 2 bilayer. For this sample, the IEE values obtained by reversible and irreversible methods are equivalent.
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.
Journal of Magnetism and Magnetic Materials, 2001
Detailed measurements of the field and temperature dependence of the magnetization of composite thin Fe/CaF 2 multilayers are presented. It was found that the magnetic irreversibility occurs mainly due to frustration of the antiferromagnetic interactions in a magnetic structure consisting of Fe fluorides embedded in a CaF 2 matrix. Our results show that the many interfaces between Fe and CaF 2 in multilayers promote a chemical reactivity leading to Fe 3+ antiferromagnetic compounds.
2001
Detailed measurements of the field and temperature dependence of the magnetization of composite thin Fe/CaF 2 multilayers are presented. It was found that the magnetic irreversibility occurs mainly due to frustration of the antiferromagnetic interactions in a magnetic structure consisting of Fe fluorides embedded in a CaF 2 matrix. Our results show that the many interfaces between Fe and CaF 2 in multilayers promote a chemical reactivity leading to Fe 3+ antiferromagnetic compounds.
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 D: Applied Physics, 2011
Results from ferromagnetic resonance experiments carried out on epitaxially grown Fe/KNiF3/FeF2 trilayers are presented. Exchange coupling between the KNiF3, a weak anisotropy antiferromagnet, and the Fe leads to shifts in the resonance field of the ferromagnet. The field shifts can be described by a temperature-dependent exchange anisotropy . depends on the orientation direction of the applied field relative to the magnetic anisotropy axis, and a non-monotonic dependence on KNiF3 thickness. Three thickness regimes appear that correspond to different values of exchange bias in each region. A qualitative understanding of the basis for these three thickness regimes due to spin canting at the interfaces is presented. Our results illustrate a method to tune the value of exchange anisotropy using a combination of different antiferromagnets.
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.
Physical Review Letters, 1996
Physical Review Letters, 2003
The exchange bias and magnetic anisotropies in a Co layer on a single-crystalline FeF 2 film have been determined between 30 and 300 K. By postulating that the coupling between the ferromagnet and the antiferromagnet persists above the Néel temperature (T N ) we develop a model that quantitatively describes the exchange bias and the anisotropies over the whole temperature range, both above and below T N . Using only the measured low temperature exchange bias and a distribution of blocking temperatures we explain (i) the temperature dependence of the bias, (ii) the magnitude of the anisotropies, (iii) the opposite sign of the first and second order anisotropies, (iv) the observed 1=T and 1=T 3 temperature dependencies of the first and second order uniaxial anisotropies above T N , and (v) the decrease of the anisotropies below T N .
Physical Review B, 2002
We have undertaken a systematic study of the influence of in-plane crystalline quality of the antiferromagnet on exchange bias. Polarized neutron reflectometry and magnetometry were used to determine the anisotropies of polycrystalline ferromagnetic ͑F͒ Fe thin films exchange coupled to antiferromagnetic ͑AF͒ untwinned single crystal ͑110͒ FeF 2 , twinned single crystal ͑110͒ FeF 2 thin films and ͑110͒ textured polycrystalline FeF 2 thin films. A correlation between the anisotropies of the AF and F thin films with exchange bias was identified. Specifically, when exchange coupling across the F-AF interface introduces an additional anisotropy axis in the F thin film-one perpendicular to the cooling field, the magnetization reversal mechanism is affected ͑as observed with neutron scattering͒ and exchange bias is significantly enhanced.
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
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.
Journal of Magnetism and Magnetic Materials, 2006
We have investigated the angular dependence of exchange bias (H ex ) and coercivity (H c ) in polycrystalline CoFe (100 nm)/MnIr(x) bilayers with x ¼ 0, 2, 4, 10 and 20 nm. The angular dependence of H ex and H c show the abrupt kinks at critical angle (y c ) in the samples of H c 4H ex . The profiles of angular dependent H ex is changed at critical antiferromagnetic layer thickness ðt c AF Þ and shows inverse proportional behavior with field angle from 901Ày c to 901+y c . These complex angular dependence of H ex and H c with antiferromagnetic layer thickness can be well explained by using the Stoner-Wohlfarth (S-W) model. r
Physica B: Condensed Matter, 2013
Exchange-biasing of ferromagnetic (F) Fe layers by adjacent antiferromagnetic (AF) Mn layers has been investigated in (Fe/Mn) 10 multilayered films. This study has been focused on the relationship between the evolution of the exchange-bias field and the evolution of the film microstructure as a function of the deposition temperature. The increase of the deposition temperature results in the formation of an Fe-Mn alloy at the interfaces and columnar features whose size increases with the deposition temperature. In parallel, the exchange-bias field decreases significantly, due to interface roughness. (C. Bordel). Physica B 416 (2013) 45-50
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