Abstract
We report on the magnetic properties of antiferromagnetic NiO(001) thin films in epitaxially grown NiO/MgO(dMgO)/Cr/MgO(001) system for different thicknesses of MgO, dMgO. Results of X-ray Magnetic Linear Dichroism show that together with an increase of dMgO, rotation of NiO spins from in-plane towards out-of-plane direction occurs. Furthermore, we investigated how the proximity of Fe modifies the magnetic state of NiO in Fe/NiO/MgO(dMgO)/Cr/MgO(001). We proved the existence of a multidomain state in NiO as a result of competition between the ferromagnet/antiferromagnet exchange coupling and strain exerted on the NiO by the MgO buffer layer.
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Introduction
Conventional spintronic devices utilize electron’s spin degree of freedom to store information in the ferromagnetic layer1. However, recent demonstrations of magnetotransport effects in antiferromagnets (AFMs) make them excellent candidates for usage as active elements in future spintronic devices2. AFMs offer several advantages over ferromagnetic counterparts, such as higher packing density due to the absence of stray magnetic fields, robustness against external magnetic field and a potentially higher operation speed as a result of terahertz spin dynamics3,4,5. Different methods were utilized to modify the spin structure in AFMs, i.e. magnetic, optical, electrical and strain manipulation6. Magnetic methods include the application of relatively large external magnetic fields to align magnetic moments of AFMs7,8 and indirect control of the AFM spin structure via interfacial exchange coupling with a ferromagnet (FM) in FM/AFM bilayer systems, where a relatively small magnetic field is needed9,10,11,12,13.
The FM/AFM bilayers containing antiferromagnetic NiO are considered as model systems to study ferromagnet-antiferromagnet coupling14. Previous studies do not provide a conclusive view on the relative orientation between magnetic moments of FM and AFM layers in FM/NiO structure. While for the ideal FM/AFM interface a perpendicular alignment of AFM and FM magnetic moments across the interface is expected14, experimental observations of collinear and non-colinear coupling have been reported for FM/NiO15,16,17,18,19. Recently, NiO has been proposed as an active element of spintronics devices. Demonstration of spin hall magnetoresistance20,21,22, current-induced switching23,24,25 and optical generation of ultrafast spin current in NiO/Pt bilayers26 opened a new path toward the realization of NiO-based spintronic devices.
NiO is a transition metal oxide with a rock-salt crystal structure. In the bulk, below its Néel temperature of TN = 523 K, the magnetic moments of Ni2+ cations are ferromagnetically aligned within each (111) plane and antiferromagnetically aligned between neighboring (111) planes27. Previous works demonstrated that appropriate strain engineering and finite size effects could modify the magneto-crystalline anisotropy and influence the direction of the magnetic moments in ultrathin NiO layers28. It was found that compressive strain leads to an in-plane NiO spin alignment, while tensile strain preferentially stabilizes an out-of-plane orientation of AFM spins. Lattice distortion in NiO can be induced either by the growth of AFM on ferroelectric29,30 or lattice miss-matched substrates31,32,33,34. Representatives of the latter approach are epitaxial NiO/Ag(001) and NiO/MgO(001) systems. It was shown that compressive strain in a thin NiO layer grown on Ag(001) stabilizes in-plane AFM domains31,35,36 while out-of-plane direction of AFM spins is preferred in NiO grown on MgO(001) substrate (aAg = 4.086 Å < aNiO = 4.176 Å < aMgO = 4.21 Å)32,37. Additionally, some previous studies have reported that in thin NiO layers grown on MgO(001) substrate direction of AFM spins can substantially deviate from its bulk counterpart25,38.
In our recent work, we performed systematic studies on the magnetic properties of NiO in Fe/NiO/Cr/MgO multilayers33. We proved that NiO grown on wedge-shaped Cr buffer undergoes continuous strain-induced spin reorientation transition (SRT) from nearly out-of-plane to in-plane direction as the strains change from tensile to compressive(aCr = 4.07 Å < aNiO = 4.176 Å < aMgO = 4.21 Å). Furthermore, for ultrathin NiO layers, we demonstrated an orthogonal (spin-flop) coupling between Fe and NiO spins.
In the present approach, we combine strain and ferromagnetic proximity to tune the magnetic spin structure of NiO. While strain induced by the substrate allows tuning magnetic anisotropy of the AFM from its bottom interface, interaction with the ferromagnetic cover layer enables to influence the magnetic state of the AFM from its top interface. Our results show that the insertion of an MgO layer between NiO and Cr buffer in a NiO/MgO/Cr stack strongly influences the spin structure in the AFM layer. Together with an increase of MgO interlayer thickness, we noted rotation of the NiO spins towards the out-of-plane direction. Furthermore, we investigated the magnetic response of NiO spins to the FM capping layer. Comparison of measured and simulated angular dependencies of the X-ray Magnetic Linear Dichroism (XMLD) spectra indicates that a domain structure of NiO is driven by a change of Fe and MgO thickness in Fe/NiO/MgO/Cr.
Experimental
Samples were grown in an ultrahigh vacuum (UHV) chamber using molecular beam epitaxy on polished MgO(001) single crystals. The MgO substrates were annealed for 1 h at 753 K to obtain a clean surface before the deposition of thin films. A 50 Å MgO homoepitaxial layer was evaporated at 723 K using electron beam evaporation. Next, a Cr buffer layer was deposited at 473 K and annealed at 753 K to improve its surface quality. The Cr buffer thickness dCr was chosen to be 200 Å to ensure a fully relaxed surface33. Following Cr deposition, the MgO wedge-shaped layer with a thickness dMgO in the range of (0–100) Å was grown at room temperature using a movable shutter and subsequently covered by a homogenous 20 Å-thick NiO layer. The NiO film was grown at room temperature (RT) by reactive deposition of Ni under the oxygen partial pressure of 1 × 10−6 mbar. At this stage, one-third part of the sample was capped with 20 Å of MgO and the other third part with 20 Å of Fe, which was additionally covered by a 30 Å-thick MgO protective layer. The MgO and Fe capping layers were evaporated at RT. As a result, three stripes with uncapped-, MgO-capped and Fe-capped NiO were formed along the MgO wedge (Fig. 1a).
The magnetic properties of NiO and Fe layers were characterized by means of X-ray Magnetic Linear Dichroism (XMLD) and X-ray Magnetic Circular Dichroism (XMCD), respectively. The X-ray absorption spectroscopy (XAS) measurements were performed at the PIRX beamline39 of the National Synchrotron Radiation Centre SOLARIS40. The XAS spectra were obtained in total electron yield (TEY) mode by measuring the sample current. The magnetic hysteresis loops were collected with longitudinal magneto-optic Kerr effect (LMOKE). A standard lock-in detection setup that consists of an s-polarized laser light source (λ = 635 nm) and a photo-elastic modulator with a modulation frequency of 50 kHz was used. The second harmonic signal (2f.) measured by the detector, which is proportional to the Kerr rotation, was taken as a measure of the magnetization. The photoemission electron microscope (PEEM) studies were performed at the DEMETER beamline of the National Synchrotron Radiation Centre SOLARIS and Nanospectroscopy beamline of the Elettra synchrotron (Trieste, Italy)41. In PEEM the X-rays are incident at an angle of 16° with respect to the sample surface. The XMLD-PEEM images were obtained by calculating the asymmetry of two images according to:
where the energies E1 and E2 correspond to the two absorption peaks within the Ni L2 absorption edge (867.9 eV and 869.1 eV, respectively). The XMCD-PEEM images of Fe in the Fe/NiO/MgO/Cr structure were collected at the L3 absorption edge of Fe.
Results and discussion
To investigate the magnetic properties of NiO in NiO/MgO(dMgO)/Cr, MgO/NiO/MgO(dMgO)/Cr and Fe/NiO/MgO(dMgO)/Cr multilayers, we performed systematic XMLD measurements as a function of the MgO thickness (dMgO). Figure 1b shows exemplary room temperature (RT) XAS spectra recorded at the Ni2+ L2 edge in the NiO/MgO(18 Å)/Cr for the incident angle γ of 0° (Fig. 1b, black) and 60° (Fig. 1b, red). The γ defines the angle between the sample surface normal and the propagation direction of the X-rays (see inset in Fig. 1b). After background subtraction, the spectra were normalized to the unity at the low energy peak. We noted a drastic change of the higher energy peak as a function of incident angle, i.e., the intensity of the peak at 871.2 eV increased for decreasing γ. The L2 ratio (RL2) defined as the intensity at the lower-energy peak divided by the intensity at the higher-energy peak is typically used to determine the spin orientation in NiO42. It is noteworthy that in the presence of a cubic crystal field, the XMLD effect is anisotropic. Therefore, the correct interpretation of XMLD results requires knowledge about the relative orientation of the X-ray polarization vector E and the spins with respect to the crystallographic axis42,43. X-ray linear dichroism (XLD) can originate not only from magnetic effects but also from the local crystal field effect. The crystal field effect contribution to the XLD signal in NiO is accompanied by an energy shift of the L3 edge between spectra acquired with grazing and normal incident X-ray angles44. In our studies, the XAS spectra acquired at the Ni2+ L3 edge do not reveal any energy shift as the incident beam γ angle changes from γ = 0° to γ = 60° (not shown). Consequently, we conclude that the XLD effect visible as a difference between two XAS spectra in Fig. 1b is of purely magnetic origin.
In our studies, the projection of the electric field vector on the NiO(001) sample plane, Eip, was fixed to be parallel to the NiO[010] in-plane crystal axis (Eip ║ NiO[010]). Such measurement geometry was utilized to probe the out-of-plane orientation of NiO(001) spins32,37,45,46. Figure 1c shows the dependence of the L2 ratio difference, defined as ΔRL2 = RL2(γ = 0°) – RL2(γ = 60°), on dMgO for all three sample areas, i.e. (NiO/MgO(dMgO)/Cr (Fig. 1c, blue dots), MgO/NiO/MgO(dMgO)/Cr (Fig. 1c, black stars) and Fe/NiO/MgO(dMgO)/Cr (Fig. 1c, red squares). For both uncapped and capped NiO layers, we noted an increase of ΔRL2 together with an increase of dMgO. According to the previous studies46, an increase of ΔRL2 can be interpreted as an enhancement of the out-of-plane component of NiO spins. These results are supported by our LMOKE measurements performed for Fe/NiO/MgO(dMgO)/Cr. Figure 1d presents room temperature LMOKE hysteresis loops acquired for Fe/NiO/MgO(dMgO)/Cr for dMgO = 30 Å (Fig. 1d, black dots) and dMgO = 200 Å (Fig. 1d, orange squares). During the measurement, the external magnetic field was applied along the easy Fe[100] direction. We noted a significant enhancement of coercivity (Hc) for the NiO grown on thinner MgO layer. While for dMgO = 200 Å, a coercive field Hc = 143 Oe was registered, in the case of dMgO = 30 Å, Hc = 206 Oe. For our samples, we did not note exchange bias, which suggests a perpendicular coupling between Fe and NiO. As previously shown, spin-flop coupling does not contribute to exchange bias but gives rise to a uniaxial anisotropy, which causes an enhancement of Hc in FM/AFM bilayers47. An enhanced Fe coercivity noted for thinner buffer confirms that for Fe/NiO/MgO(30 Å), for which we noted an in-plane direction of NiO spins, the uniaxial anisotropy is stronger than in Fe/NiO/MgO(200 Å) stack, for which an out-of-plane component of NiO spins is considerable. A similar tendency was presented in Fe/NiO/(Ag)/MgO for which, together with spin reorientation transition from in-plane to out-of-plane direction, a reduction of the coercivity was noted32. The results of LMOKE measurements confirm our interpretation of XMLD studies that the insertion of an MgO layer between NiO and Cr leads to the rotation of NiO spins toward the out-of-plane direction.
To elucidate whether the spin reorientation transition (SRT) in NiO is related to the change of strain exerted by the MgO buffer layer, we analyzed the evolution of the MgO in-plane lattice constant as a function of its thickness. The MgO in-plane lattice spacing along the MgO[100] direction was determined from the low-energy electron diffraction (LEED) pattern collected across the MgO wedge for MgO(dMgO)/Cr(200 Å)/MgO(001) (Fig. 2). The data shows that MgO lattice constant aMgO increases from aMgO[100] = (4.09 ± 0.04) Å for dMgO = 10 Å up to the bulk value of aMgO[100] = (4.21 ± 0.04) Å for dMgO = 200 Å. For thin MgO buffer layer, for which we noted pseudomorphic growth of MgO, a compression of NiO occurs (aMgO = 4.09 Å < aNiO = 4.18 Å) and AFM spins are aligned in plane, similar to NiO/Cr33 or NiO/Ag32. Together with an increase of lattice parameter of MgO, NiO experiences tensile stress (aMgO = 4.21 Å > aNiO = 4.18 Å), which prefers out-of-plane alignment of NiO spins32,37. Due to the charging of the surface, we were not able to perform systematic studies of the changes in the LEED pattern as a function of MgO thickness after the deposition of NiO. However, the analysis of the LEED pattern collected for MgO surface together with the analysis of XMLD results, brought us to the conclusion that strains determine the spin structure in NiO. The impact of strains on the magnetic properties of AFMs was theoretically studied by Finazzi and Altieri28. Theoretical calculations showed that tetragonal lattice distortions induce a change in the population of AFM domains via modulation of the dipolar energy, which dominates the magnetic anisotropy of NiO28.
Although we observed the same trends in ΔRL2(dMgO) dependencies for all three parts of the sample with different capping layers, a change of ΔRL2 as a function of MgO thickness is much more pronounced for the Fe/NiO/MgO(dMgO)/Cr region. To further examine how proximity to Fe influences the NiO spin structure in our system, we have performed a systematic XMLD study in Fe/NiO/Cr/MgO(001) and Fe/NiO/MgO(200 Å)/Cr/MgO(001).
Prior to XAS measurements, the sample was magnetized along the easy Fe[100] in-plane direction (NiO[110]) (see Figure S1, Supplemental Material for epitaxial relation between NiO(001) and Fe(001)). Fe L2,3 edge XMCD spectra acquired with two opposite helicities (Figure S2, Supplemental Material) confirmed that Fe magnetization MFe was aligned parallel to the applied magnetic field. In addition, XMLD studies were performed at the Ni L2 edge. Figure 3a depicts the RL2(γ) dependencies obtained for Fe/NiO/Cr for three different azimuthal angles φ, where φ is defined as the angle between the projection of X-ray polarization vector Eip on NiO(001) plane and NiO[110] direction. For φ = 0° the Eip is parallel to both the NiO[110] and the Fe magnetization, MFe (Eip║NiO[110]║MFe), whereas for φ = 90° Eip║NiO[1–10]⊥MFe. We noted the minimum of RL2 at γ = 0° for all the dependencies, which, based on some previous works32,37, indicates that the NiO spins lie within the surface plane.
In order to determine the azimuthal anisotropy of NiO spins in Fe/NiO/Cr/MgO(001), we performed XMLD measurements at normal incidence geometry (γ = 0°) as a function of the azimuthal angle φ. In such measurement geometry, a full in-plane sensitivity of XMLD to AFM spin orientation is available32. Figure 3b presents the RL2(φ) dependence for Fe/NiO/Cr with well-pronounced extrema for φ = 0° (Eip║NiO[110]║MFe) and φ = 90° (Eip║NiO[1–10]⊥MFe). According to the previous studies, if RL2 reaches an extremum when the polarization vector is parallel to the NiO[110] direction, the AFM spin alignment is determined from the maximum of RL232,48. We noted the maximum of RL2 at φ = 90°(E ║NiO[1–10]⊥MFe), which indicates that NiO spins are aligned parallel to the NiO[1–10] axis and perpendicular to Fe spins as expected for Fe/ultrathin NiO compensated interface (see Fig. 3i)15,32,33. In order to confirm our conclusions, we compared the experimental RL2 polar and azimuthal dependencies (Fig. 3a,b) with the theoretical ones (Fig. 3c,d).
To find theoretical spectra for a given relative orientation of the polarization vector E and the spins axis, we performed atomic multiplet calculations for NiO(001) using Crispy frontend49. The spectra were simulated for the atomic 2p63d8 → 2p53d9 transition in Oh crystal-field splitting of 10Dq = 1.4 eV48 and a total effective exchange field felt by the Ni2+ ion of 6 × 27 meV44. A detailed description of the simulations can be found in Supplemental Material. The calculated polar (γ) and azimuthal (φ) angles dependencies for NiO spins oriented along NiO[1–10] in-plane axis are presented in Fig. 3c,d, respectively. The shapes of calculated polar and azimuthal angles dependencies (RL2(γ) and RL2(φ), respectively) well reproduce the experimental data (Fig. 3a,b), which confirms the validity of our interpretation.
For Fe/NiO/MgO(200 Å)/Cr, we noted a well-defined uniaxial anisotropy with the maximum of RL2(φ) at φ = 90°(Eip║NiO[1–10]⊥MFe) (Fig. 3f), similarly to the results obtained for Fe/NiO/Cr. However, the polar RL2 dependencies determined for Fe/NiO/MgO (Fig. 3e) differ significantly from the ones obtained for Fe/NiO/Cr (Fig. 3a). While for φ = 0° (Eip║NiO[110] ║ MFe ), the L2 ratio reaches the minimum at γ = 0°, for φ = 90° (Eip ║NiO[1–10]⊥MFe) the L2 ratio reaches the maximum at γ = 0°, whereas the L2 ratio remains almost constant for φ = 45° (Eip║NiO[100]). In order to explain the origin of RL2(γ) dependencies obtained for Fe/NiO/MgO, we compared experimental results with theoretical simulations. We simulated polar and azimuthal RL2 dependencies for all 12 possible bulk-like NiO domains (see Figure S3, Supplemental Material), obtaining a good agreement with the results presented in Ref.50. None of the theoretical dependencies obtained for bulk single-domain states of NiO reproduces our experimental results. This suggests that a multiple antiferromagnetic domain structure in NiO embedded between Fe and MgO should be considered. Therefore, before moving onto our results, we will introduce the possible magnetic domains in bulk NiO.
Below TN, the antiferromagnetic order in bulk NiO results in a contraction of the cubic unit cell along [111] directions. Consequently, four twin domains (the so-called T domains) with contractions along different [111] directions are formed. Within each T domain, the spins can be aligned along one of the three [112] axes (S domains) which give rise to 12 possible different domain orientations in NiO27,51. As we consider NiO(001) plane, we can identify two distinct groups of domains that differ in the orientation of magnetic moments relative to the (001) plane. The first group with a large component of magnetic moment perpendicular to the surface ([11-2], [1–12], [-112], [112]) and a group of eight domains for which in-plane component of magnetic moment dominates ([1-21], [-121], [121], [10-1], [-211], [211], [21-1], [2-11])51.
The shape of experimental RL2(φ) dependence (Fig. 3f) and a possible orthogonal coupling between Fe and NiO indicate that magnetic domains in NiO exhibit a projection along an in-plane NiO[1–10] axis. In addition, a comparison of the experimental RL2(γ) dependencies (Fig. 3e) with simulated ones (Fig. 3g) excludes the existence of pure in-plane or out-of-plane spin orientation in NiO which indicates that both types of domains should coexist in the NiO layer. The shapes of RL2(φ) and RL2(γ) can be successfully reproduced in simulations where the coexistence of two bulk-like domains with a large out-of-plane component and projection to NiO[1–10] axis (i.e. [1-12] and [-112] magnetic domains) together with in-plane magnetic domain with spins oriented along [1-10] axis was considered. Figure 3j shows the schematical drawing of NiO domains which were considered in calculations of RL2(γ) and RL2(φ) (Fig. 3g,h).
RL2(γ) and RL2(φ) were calculated assuming an equal population of mentioned out-of-plane and in-plane NiO domains. We observed a change in the character of the RL2(γ) dependence for φ = 0° and φ = 90°, similar to the experimental results (compare Fig. 3e,g). This indicates that the appearance of the out-of-plane domains in NiO is related to the tensile strain exerted on the AFM layer by the MgO buffer, in contrast to the Fe/NiO/Cr/MgO for which the existence of [1-10] in-plane domains was sufficient to reproduce the experimental data. Although simulations well reproduce the shapes of the angular RL2 dependences, the amplitudes of theoretical L2 ratios differ from the experimental ones. This can be understood if we consider that the theoretical dependencies were calculated for the NiO bulk-like parameters. Moreover, the XMLD magnitude can be affected by experimental energy resolution43. Thus, we emphasize that a comparison between experimental and simulated L2 ratios should be treated qualitatively.
The exchange coupling between Fe and NiO spins at the interface, which was inferred from the XMLD and XMCD data, is directly confirmed by XMCD- and XMLD-PEEM measurements. In the PEEM setup, the X-rays were incident on the sample at 16° grazing angle from the surface. Therefore, the linear polarization can be either fully in the surface plane, giving sensitivity to the in-plane domain structure of NiO, or mostly out-of-plane, giving sensitivity to the out-of-plane NiO spin orientation.
Figure 4a,c represent the XMCD-PEEM images of the Fe magnetic domain patterns in Fe/NiO/MgO(10 Å)/Cr and Fe/NiO/MgO(200 Å)/Cr, respectively. The images were recorded after exposing the sample to an alternating in-plane magnetic field. The direction of the photon beam propagation k was set to be along to Fe[100] easy axis. Three contrasts can be distinguished in the XMCD-PEEM images. The dark and bright areas in Figs. 4a,c correspond to the antiparallel Fe domains magnetized along [100] direction, whereas the gray areas indicate the domains perpendicular to the k direction, which presents no magnetic signal. For both Fe/NiO/MgO(10 Å)/Cr and Fe/NiO/MgO(200 Å)/Cr the magnetic domain pattern of Fe is reflected in the NiO magnetic structure, as seen in the corresponding XMLD-PEEM images obtained with in-plane X-ray polarization (Figs. 4b,d). This proves that the FM/AFM coupling at the interface occurs in both systems. Magnetic contrast between the antiparallel Fe[100] domains is not visible in XMLD-PEEM images, as it is expected for antiferromagnetic NiO.
The NiO spin orientation within the domains presented in the XMLD-PEEM images can be determined by considering the analysis of the previously discussed XAS study. XAS measurements performed for Fe/NiO/MgO(10 Å)/Cr heterostructure revealed that the NiO spins are aligned within the surface plane under a compressive strain due to the pseudomorphic growth of thin MgO on the Cr buffer (see Fig. 4e for a schematical illustration of spin structure in Fe/NiO/Cr/MgO). For Fe/NiO/MgO(20 Å)/Cr we postulated the existence of both in-plane domains and domains with a significant out-of-plane component. In principle, the out-of-plane domains should give rise to a magnetic contrast in XMLD-PEEM image acquired with X-ray polarization along the surface normal. In our study, we did not observe a noticeable magnetic contrast in the XMLD-PEEM image acquired with the polarization axis nearly aligned to the surface normal (not shown). However, we noted a reduction of contrast in the XMLD-PEEM image recorded with in-plane X-ray polarization for Fe/NiO/MgO(200 Å)/Cr compared to Fe/NiO/MgO(10 Å)/Cr. While for NiO grown on thin MgO buffer the contrast was estimated to be about 0.66%, it was reduced to 0.55% for Fe/NiO/MgO(200 Å). The attenuation of XMLD-PEEM contrast for an image collected with in-plane X-ray polarization can be explained by the existence of depth-dependent domain structure in Fe/NiO/MgO(200 Å). In principle, PEEM measurements performed with X-ray polarization along the surface normal do not produce XMLD contrast between the nearly out-of-plane domains nor between the in-plane dominant domains. On the other hand, one can expect to observe a contrast between coexisting in-plane and out-of-plane domains. In order to understand the lack of contrast, we remind that the change of spin orientation in NiO caused by the increase of MgO thickness in Fe/NiO/MgO(dMgO)/Cr is induced by the competition between exchange coupling to the ferromagnet at the Fe/NiO interface and the strain–induced anisotropy at the bottom, NiO/MgO, interface. Different interactions at the top and bottom interfaces can lead to the formation of depth-dependent magnetic domain structure with in-plane domains located at the Fe/NiO interface and domains with an out-of-plane component at the NiO/MgO interface (see Fig. 4f for a schematical illustration of spin structure in Fe/NiO/MgO/Cr). The existence of similar depth-resolved antiferromagnetic domains was previously postulated for NiO film in the CoO/NiO(21 Å)/MgO system50. Indeed, such depth-dependent AFM domains would not give rise to XMLD contrast with out-of-plane X-ray polarization, as the surface would be homogeneously covered with in-plane AFM domains.
To further investigate the influence of Fe magnetic properties on the NiO spin-axis, we performed a systematic study of NiO spin structure in Fe/NiO/MgO(85 Å)/Cr/MgO(001) for different Fe thicknesses (dFe) (Fig. 5). We decided to choose dMgO = 85 Å as for this MgO thickness we noted negligible ΔRL2 (Fig. 1c), hence negligible anisotropy of NiO between in-plane and out-of-plane orientations. Before the XMLD experiment, we magnetized the sample along the Fe[100](NiO[110]) easy axis. For 2 Å Fe layer, no change in RL2(φ) dependence was observed. Isotropic RL2 (φ) dependency can be reproduced in the simulation in which all bulk-like NiO domains are considered (Figure S4, Supplemental Material). For such a thin Fe film, the lack of XMCD at the Fe L3 and L2 absorption edges (not shown) confirmed that Fe is in a non-magnetic state. Thus, there is no FM/AFM exchange interaction that could contribute to the in-plane anisotropy in the NiO layer. For dFe ≥ 8 Å, however, we noted well-defined in-plane anisotropy originating from the orthogonal coupling at the FM/AFM interface. Importantly, the in-plane anisotropy of NiO gets more pronounced with increasing Fe thickness. A gradual increase in the magnitude of RL2 for φ = 90° observed in the experiment can be understood if we consider growth contribution from [1-10] domain at the expense of the rest of bulk domains. The results show that the proper choice of Fe and MgO thickness allows tuning the magnetic anisotropy of the antiferromagnetic NiO.
Conclusions
In summary, we showed how interface-induced strains and exchange interactions at an interface with a ferromagnet can be exploited to tune the magnetic anisotropy in antiferromagnetic NiO. For a NiO layer grown on a wedge-shaped MgO underlayer, the magnetic anisotropy of NiO can be modulated by exerting appropriate strain from its bottom interface. Such strain engineering was additionally combined with FM/AFM exchange coupling to create a multiple domain structure in the NiO thin film. Finally, it was shown that the repopulation of NiO domains could be induced by adjusting the thickness of the Fe layer.
Data availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
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Acknowledgements
This work was supported by Grant No. 2020/38/E/ST3/00086 funded by the National Science Centre, Poland. M.Ś. acknowledges Grant No. 2021/41/B/ST5/01149 founded by the National Science Centre, Poland. This publication was developed under the provision of the Polish Ministry of Education and Science project: “Support for research and development with the use of research infrastructure of the National Synchrotron Radiation Centre SOLARIS” under contract nr 1/SOL/2021/2. We acknowledge SOLARIS Centre for the access to the PIRX and DEMETER beamlines, where the measurements were performed. Research project was partly supported by program „Excellence initiative – research university” for the AGH University of Science and Technology”.
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W.J., interpreted the data, performed the simulations and wrote the original draft of the manuscript. W.J., M.S., H.N., prepared the samples. W.J., A.K.-R., M.Ś., M.S., H.N., P.D., M.Z., performed XAS measurements and analysed the data. A.M., D.W.-Ś., M.J., T.O.M., A. L. performed PEEM experiment. A.K.-R., M.Ś., T.Ś. supervised the work and the manuscript preparation. All authors discussed the results and commented on the manuscript.
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Janus, W., Ślęzak, T., Ślęzak, M. et al. Tunable magnetic anisotropy of antiferromagnetic NiO in (Fe)/NiO/MgO/Cr/MgO(001) epitaxial multilayers. Sci Rep 13, 4824 (2023). https://doi.org/10.1038/s41598-023-31930-z
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DOI: https://doi.org/10.1038/s41598-023-31930-z
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