Origin of perpendicular magnetic anisotropy in amorphous thin films

The emergence of perpendicular magnetic anisotropy (PMA) in amorphous thin films, which eventually transforms the magnetic spins form an in-plane to the out-of-plane configuration, also known as a spin-reorientation transition (SRT), is a fundamental roadblock to attain the high flux concentration advantage of these functional materials for broadband applications. The present work is focused on unfolding the origin of PMA in amorphous thin films deposited by magnetron sputtering. The amorphous films were deposited under a broad range of sputtering pressure (1.6–6.2 mTorr), and its effect on the thin film growth mechanisms was correlated to the static global magnetic behaviours, magnetic domain structure, and dynamic magnetic performance. The films deposited under low-pressure revealed a dominant in-plane uniaxial anisotropy along with an emerging, however feeble, perpendicular component, which eventually evolved as a dominant PMA when deposited under high-pressure sputtering. This change in the nature of anisotropy redefined the orientation of spins from in-plane to out-of-plane. The SRT in amorphous films was attributed to the dramatic change in the growth mechanism of disorder atomic structure from a homogeneously dispersed to a porous columnar microstructure. We suggest the origin of PMA is associated with the columnar growth of the amorphous films, which can be eluded by a careful selection of a deposition pressure regime to avoid its detrimental effect on the soft magnetic performance. To the author’s best knowledge, no such report links the sputtering pressure as a governing mechanism of perpendicular magnetisation in technologically important amorphous thin films.


Scientific Reports
| (2021) 11:3734 | https://doi.org/10.1038/s41598-020-78950-7 www.nature.com/scientificreports/ origin of SRT, why spins transforms from in-plane to out-of-plane configuration for the alloy when deposited under different sputter tools, is well-understood the amorphous films can be widely adopted in microelectronic industry for a broad range of soft magnetic applications, including PwrSoC 22 . Amorphous thin films are usually deposited by physical vapour deposition (PVD) technique, such as magnetron sputtering with argon as a sputter gas 23 . The power applied to the target determines the deposition rate of the material, an important parameter to control the thin film growth mechanism. Another critical deposition parameter of sputtering to consider is the argon sputtering pressure. The argon pressure affects the energy and angle at which sputtered atoms arrive at the substrate and subsequently condense to form the film. At high pressures, the sputtered atoms suffer many collisions with the working gas and arrive at the substrate with reduced momentum, kinetic energy and larger incident angles 24 . The inverse is true for low pressures. In these two different pressure regimes, one would expect the microstructure of the films to differ. One has to consider how the amorphous material itself is deposited on the substrate, how it influences the nature of the underlying magnetism, and consequently, its effects on the ultra-soft magnetic properties for broadband drive applications. Most recently, a magnetic transition from superparamagnetism to spin glass behaviour of Fe-Zr thin films was correlated to a very slight change in microstructure of the amorphous films when deposited under different pressure 25 . To the author's best knowledge, no such report links the sputtering pressure as a mechanism of SRT in amorphous thin films.
The present work is focused on the origin of mechanisms governing the PMA in amorphous thin films deposited by magnetron sputtering. It demonstrates how sputtering deposition pressure can influence the thin film growth mechanism of amorphous films from a homogeneously dispersed disorder atomic structure to a porous columnar microstructure, which, consequently, transform the spins from in-plane to out-of-plane configuration due to the associated PMA.

Results and discussion
Structural properties of as-deposited films. The atomic structure of each film was analysed using x-ray diffraction (XRD) in the range of 2θ = 40°-60°. No sharp Bragg's peak was observed for the films deposited under different argon pressures of 1.6-6.2 mTorr, as presented in Fig. 1. The absence of Bragg's peak in the XRD spectrum shows that the atomic structure of films remained amorphous under various deposition pressures, which confirms there is no pressure-dependent change on the atomic structure of the films. The sputtering of films under high pressure can change the atomic structure, and hence, affects the optimum performance of thin-film materials. For example, reactively sputtered TiN films showed a transition from crystalline to a quasiamorphous phase when the sputtering pressure was increased from 2 to 12 mTorr 26 . Furthermore, a selected area electron diffraction (SAED) pattern of the 6.2 mTorr film, Fig. 1b, showed a diffuse ring pattern, which further confirms the localised amorphous structure of the films deposited under highest deposition pressure. The amorphous structure of Co-Zr-Ta-B films is vital to retain high electrical resistivity, due to random electron scattering, and ultra-soft magnetic properties, due to absence of magnetocrystalline anisotropy, for high-frequency applications 13,27 .
The resistivity (ρ) of each film was measured using a 4-point probe in the centre of each wafer. Note that the resistivity of the titanium layer was subtracted for each film. All films show a high resistivity, which is critical to reducing eddy current losses 6 . Resistivity values were measured in the range of ~ 117-131 µΩ cm for the present series of films. A resistivity value of ~ 115 µΩ cm has been reported elsewhere for Co-Zr-Ta-B 28 . A small variation in the resistivity values might be due to the various assumptions considered during measurements. One  www.nature.com/scientificreports/ such assumption is that the film thickness is homogenous across the whole sample. In addition, the resistivity is influenced by other microscopic features such as voids and rough surfaces, which can be introduced during film deposition 29 . A marginal variation in the resistivity of the films deposited under a broad pressure range further suggest the amorphous nature of the atomic structure at the local atomic scale, hence it is in good agreement with the XRD and SAED structural observations (Fig. 1). Scanning electron microscopy (SEM) images show the surface morphology of the 1.6 mTorr, 3.5 mTorr, and 6.2 mTorr pressure films, as presented in Fig. 2. The number of grains and grain size for each film was calculated using ImageJ analysis software 30 . The lower pressure film of 1.6 mTorr, see Fig. 2a, displays a dense microstructure of ~ 784 grains with an average grain size of ~ 40 nm (grain size herein was measured as the width of the grains). The 3.5 mTorr pressure film has ~ 208 grains with an average size of ~ 78 nm. Conversely, the higher-pressure film of 6.2 mTorr displays a much denser microstructure when compared to the other two films, as presented in see Fig. 2c. A total of ~ 1122 grains were counted for this film with an average grain size of ~ 34 nm. Further, atomic force microscopy (AFM) was performed over a similar-sized area, as presented in Fig. 2d-f, which revealed similar characteristics of the films. The grain size of the 1.6, 3.5 and 6.2 mTorr films (averaged over 10 grains) was found to be ~ 36 nm, 64 nm and 35 nm, respectively, from the AFM images. Later, a larger scan area (10 µm × 10 µm) was imaged to investigate surface topography. Root mean square roughness of 1 nm, 1.6 nm, and 1.2 nm were measured over the whole scan area for the 1.6 mTorr, 3.5 mTorr, and 6.2 mTorr pressure films, respectively. The small roughness values suggest quite a smooth surface of the films, as can be seen in Fig. 2g,h,i.
Further, the thin film growth process was investigated by transmission electron microscopy (TEM) imaging of the cross-section of the films thinned by focused ion beam (FIB). Figure 3 presents the TEM micrographs of the films deposited at the lowest (i.e., 1.6 mTorr) and highest (i.e., 6.2 mTorr) deposition pressures. Ultra-smooth growth of films was observed in 1.6 mTorr pressure film, see Fig. 3a, thanks to the homogeneous disordered www.nature.com/scientificreports/ atomic structure that makes the amorphous films viable for a broad range of MEMS applications. Contrarily, the microstructure of film was remarkably distinct under high-pressure deposition, thus proposing a fundamental divergence in the mechanism of the thin-film growth process. Cross-sections of the film deposited under 6.2 mTorr is illustrated in Fig. 3b, suggesting that high-pressure deposition leads to a porous columnar growth structure. The size of the voided columnar regions measured using TEM is ~ 36 nm, which is on the same order of magnitude for the grain size estimated from the SEM (~ 34 nm) and the AFM (~ 35 nm), see Fig. 2c,f. The pressure-dependent change in the microstructure of amorphous films could cause a different nature of anisotropy energies to emerge, i.e., magnetostatic or magnetoelastic, that might be competitive enough to influence the global magnetic behaviours of the films, and, eventually, soft magnetic performance of the films. The microstructure of sputtered films results from the energy of the sputtered atoms and the angles at which they arrive at the substrate 25,31 . At low pressures, the sputtered atoms have a long mean free path and overcome a shadowing effect during the initial nucleation of the film due to being highly energetic. This shadowing effect is an interaction between the initial roughness of the substrate and the angle at which sputtered atoms arrive at the substrate. Thus, in this low-pressure regime, the sputtered atoms from the Co-Zr-Ta-B arrive at the substrate with high energy, strike the material out, and consequently, no inter-columnar voids are produced. Diversely, for the higher argon pressure of the 6.2 mTorr, the mean free path of sputtered Co-Zr-Ta-B atoms is reduced due to scattering with the working argon gas and creates a bigger angle of incidence when arriving at the substrate. In this high-pressure regime, the sputtered atoms are less energetic when arriving at the substrate, and the material is unable to overcome the shadowing effect during the initial nucleation of the film. The material preferentially grows on higher surface features and prevents deposition on shadowed regions. This shadowing effect produces inter-columnar voids on the substrate, as the atoms are unable to be incorporated at grain boundaries 32 . This is in agreement with Thornton's growth model of thin films, which suggests how high working gas pressure results in a porous columnar type growth structure due to this pinning effect during the initial nucleation of the film 33 . Kim et al. 25 , demonstrated that high pressure during sputtering lead to a porous columnar microstructure for amorphous Fe-Zr films, which eventually, transforms the nature of the underlying magnetism. The solidus melting temperature of the Co-Zr-Ta-B alloy was found as ~ 1021 °C by calculating the phase diagram using Pandat software (version 2019, https ://compu therm .com/) 34 . The temperature of the substrate during low pressure (1.6 mTorr) growth was measured as ~ 110 °C by using temperature sensitive labels. Note that this value is an upper bound. As the pressure increases, the atoms arrive at the substrate with less energy, decreasing the substrate temperature during deposition. This substrate temperature value results in a maximum T s /T m ratio of ~ 0.1, and thus the high-pressure film is consistent with a Zone 1 type growth formation from the Thornton model. Zone 1 type growth is associated with the formation of a columnar microstructure with voided boundary regions and occurs when the ratio of T s /T m is low in conjunction with an elevated working gas pressure 35 . The absence of porous columns in the low-pressure films is caused by the coating atoms having sufficient energy to fill the voided regions due to lack of collisions with the working gas, causing the coating atoms to arrive at near normal incidence. The pinning of sputtered atoms during the initial nucleation of the film may explain why the high pressure regime film (i.e. 6.2 mTorr) has a larger number of grains as seen in the SEM and AFM images in Fig. 2c,f. Figure 4a presents the BH loops of the films measured along the hard anisotropy axis, while the inset shows a typical easy anisotropy axis BH loop of the film deposited under 1.6 mTorr pressure. A well-defined easy and hard anisotropy axis of BH loops show that a significant uniaxial anisotropy was www.nature.com/scientificreports/ induced during the deposition process of films deposited in low-pressure regime (1.6-4 mTorr). Contrarily, the nature of magnetic anisotropy was surprisingly different in the high-pressure films (i.e., 6.2 mTorr). Interestingly, the zoomed-in region of hard anisotropy loops of low-pressure films (1.6-4 mTorr), presented Fig. 4b, show two distinct slopes before saturation. Nevertheless, the strength of the slope, i.e. close to zero-field, is feeble as compared to the 6.2 mTorr film. More importantly, the slope of the loops continuously emerged as a function of deposition pressure, thus suggesting a pressure-dependent evolution in the nature of magnetic anisotropy. Furthermore, the effect of the evolution of magnetic anisotropy is evident in the resultant anisotropic field (H k )   (Fig. 4c).

DC magnetic properties.
A double-sloped hysteresis, known as a transcritical loop, is indicative of perpendicular magnetisation, where the slope emerging before the saturation shows the PMA component 36 . Films in the pressure range of 1.6-4 mTorr display both uniaxial in-plane anisotropy and a PMA, as evident from the double-sloped loops presented in Fig. 4b. It further illustrates that the PMA component is deposition pressure-dependent, and once the pressure was increased from 4 to 6.2 mTorr, the PMA component becomes dominant. The resultant hysteresis of the 6.2 mTorr films remains isotropic and displays a transcritical shape, which is attributed to the dominant out-ofplane magnetisation 37 . This phenomenon is known as SRT, where magnetisation transforms from in-plane to out-of-plane configuration and has been recently reported for many amorphous thin films 14,20 .
Magnetic force microscopy (MFM) images were obtained at the remnant state of magnetisation for the following films; 1.6, 3.5 and 6.2 mTorr, as presented in Fig. 5. The 1.6 mTorr and 3.5 mTorr pressure films display some faint striped domain patterns, as seen in Fig. 5a,b. This is in good agreement with the BH loops that manifested a weak PMA component in the films deposited under low-pressure. However, once the pressure increased beyond the critical point to 6.2 mTorr, a distinct striped domain pattern emerged, as seen in Fig. 5c. A well-defined striped magnetic domain suggests that the easy axis magnetisation of the film resides perpendicular to the plane. The difference in contrast of striped domains is related to the orientation of the magnetic spins, which are pointing either upward or downward in relation to the film plane 36 . The change in sign of the magnetisation component between domains causes a reduction in the effective anisotropy energy and hence, explains why a higher external field (i.e., > 75 Oe) is required to saturate the 6.2 mTorr film 38,39 . AC magnetic properties. The permeability of the films was measured in the frequency range of 1 MHz-9 GHz, as presented in Fig. 6. The films deposited under low-pressure (1.6-4 mTorr) show high permeability and ferromagnetic resonance frequency (f FMR > 1 GHz). This could be ascribed to the dominant uniaxial anisotropy induced during deposition pressure of the films, as seen from BH loops (Fig. 4). Inset Fig. 6a shows the real permeability values (µʹ, quoted at f = 40 MHz) as a function of Ar sputter pressure. The 1.6 mTorr film displayed the lowest µ ʹ ~ 366 for low-pressure regime films and is related to the large H k ~ 32.92 Oe. The 3.5 mTorr and 4 mTorr films having the lowest H k ~ 19.5 Oe display the highest µʹ ~ 509 and ~ 646, respectively. The imaginary component of permeability (µʺ) of each film is negligibly small up to 100 MHz, as presented in Fig. 6b. The smaller µʺ is due to the thickness of the films, which is below the skin depth of the Co-Zr-Ta-B alloy 40 . Interestingly, a small kink at the shoulder of the main f FMR was observed in all films, except for the 6.2 mTorr sample. The emergence of multiple peaks before the main FMR could be attributed to the heterogeneous amorphous structure of the films, as reported by the same authors elsewhere 13 . More interestingly, the 6.2 mTorr film displayed low µʹ ~ 144 and multiple resonance peaks after the main f FMR both in the real and imaginary permeability spectra. The low µʹ and multiple peaks may have emerged due to the strong PMA component, as confirmed from BH loops and domain imaging.
The Landau-Lifschitz-Gilbert (LLG) equation (see Eq. 1) was used to calculate the Gilbert damping constant, α, for the films with dominant in-plane uniaxial anisotropy (i.e., films deposited under low deposition pressure) 41 (1) www.nature.com/scientificreports/ where M S is the saturation magnetisation, H k is the anisotropy field, γ is the gyromagnetic ratio, t is the thickness of the film and δ is the skin depth as √ 2ρ/(ω · µ 0 · µ static ). The damping factor, α, describes the ease of the spins to undergo magnetisation reversal at high frequencies 42 . One would expect the loss of the material to be substantial at high frequencies if the value of α is significantly large. The α increased gradually as a function of www.nature.com/scientificreports/ deposition pressure, as shown in Fig. 6b inset hence suggesting how emerging PMA, however feeble, is correlated to the damping loss of the films that could rise at high frequencies to undermine the performance of the material. The high-frequency permeability spectrum strongly depends on the magnetic domain structures of the material. Multiple f FMR peaks normally can originate from stripe magnetic domains due to perpendicular magnetisation 43 . The effect of magnetic domain structure on the permeability spectrum of the films can be negated, if any, to a single domain by saturating the films using a bias magnetic field. The in-plane biased magnetic field from 0 to 150 Oe was applied along the easy-axis of 6.2 mTorr film and response of multiple resonance peaks was investigated, as presented in Fig. 7. The multiple peaks only disappeared when the bias-field increased to 70 Oe, that is similar to the measured H k ~ 75 Oe required to saturate the 6.2 mTorr film to a single magnetic domain (see Fig. 4a). This concludes that the multiple peaks after main FMR in the high-pressure film may have originated from the dominant PMA component, and disappeared when using a bias field. Furthermore, these multiple peaks were missing in the AC permeability spectra for low-pressure regime films (1.6-4 mTorr), see Fig. 6, which further confirms the dominant uniaxial anisotropy in low-pressure films, as seen in the BH loops (Fig. 4).
Furthermore, OOMMF micromagnetic simulations 44 were performed to verify the effect of PMA on the emergence of multiple peaks after the main FMR. 2D static micromagnetic simulations (78 × 25 grids) were constructed for the film thickness 250 nm with, (1) a dominant PMA for the film deposited under 6.2 mTorr (Fig. 8, Inset 1), and (2) a significant in-plane uniaxial anisotropy for the film with strong biased field (Fig. 8, Inset  3), following the method introduced by Youssef et al. 45 . The in-plane easy axis is along the stripe domains and defined as the x-axis, the thickness is defined along the z-axis, and periodic structures with vortex-like domain walls were constructed along the y-axis. The PMA was set as 0.3 × 10 5 erg/cm 3 for films deposited under 6.2 mTorr, which results in a domain width ~ 200 nm comparable to the domain width as seen in the MFM image presented in Fig. 5c. In this zero-field cross-sectional equilibrium magnetisation configuration, m x was considered as 0.57, where m x is the ratio of magnetic remanence over magnetic saturation. This is comparable with the BH loop measurements for the high-pressure film. The µʺ of the zero-field microwave permeability (excited along the y-axis) were simulated, which showed multi-peaks after the main FMR (Fig. 8, solid black line), similar to the experimental results presented in Fig. 6b. The Fig. 8 inset 2 shows the magnitude distribution at the secondary peak position, where the red colour indicates a larger magnitude and the blue colour indicates a smaller magnitude, which shows that the secondary peaks are mainly contributed by localized resonances, similar to the work reported elsewhere 45 . While the simulation results for films with strong in-plane uniaxial anisotropy (6.2 mTorr films with strong in-plane biased field) only show a single FMR peak, shown in Fig. 8 (solid red line), similar to the result under > 70 Oe biased field in Fig. 7. Conclusively, simulation results further confirm that multiple peaks in high-pressure films emerged due to the dominant PMA component, which disappeared when PMA became feeble due to applying a suitable in-plane biased field.
The PMA shows the detrimental effects on the high-frequency soft magnetic properties of films, such as high H c , low permeability, and high material loss due to multimode resonance in the permeability spectrum, as discussed in detail in previous sections. Several mechanisms have been proposed as an origin of PMA in amorphous thin films. For example, Sharma et al. 14 concluded that the residual stress and high degree of atomic randomness are the fundamental reasons for the emergence of the PMA in Co-Fe-B-Ta amorphous films. The residual stress of each film was measured by calculating the difference in the curvature of the wafer pre-and post-deposition of the films. The stress values remained in the range of 0.15-0.27 GPa for the series of the investigated films, though no systematic change was observed. All films revealed compressive stress in nature where the films stretch after deposition. The target alloy used for sputtering was in direct line of sight with the substrate rather than utilising oblique angle deposition, which tends to promote the formation of tensile stress www.nature.com/scientificreports/ due to the increase in inter-columnar voids 46 . A long mean free path due to low deposition pressure results in the sputtered atoms arriving at the substrate at near-normal incidence, and compressive type stress is typically seen under this mode 47 . One would expect the stress of the high-pressure film of 6.2 mTorr to be tensile in nature due to the increased incident angle of arriving atoms. However, the existence of porous inter-columnar voids, see Fig. 3b, can reduce the effect of tensile stress 32 . The incorporation of oxygen from the surrounding air after removing the film from the vacuum chamber nullifies the tensile stress, and eventually, induces compressive residual stress 48 . In addition, porous films are also susceptible to impurity formation when exposed to ambient atmospheric conditions after deposition. This might be the reason for the white dot contaminants, as seen in the AFM image of the 6.2 mTorr films in Fig. 2i. Conclusively, the residual stress of all films remained compressive in nature and comparable in magnitude, suggesting that it should not be the dominant factor to influence the underlying mechanism of magnetism. A correlation between thin film growth mechanism from a homogeneous disorder atomic structure to a porous inter-columnar void, the emergence of PMA from a feeble strength to a dominant component, and evolution of single-mode FMR to a multimode resonance suggests the origin of perpendicular magnetisation in the high-pressure film is related to the remarkable shape anisotropy in out-of-plane direction originated by the columnar growth of the films. To the author's best knowledge, this is the ever first report that links the high sputtering pressure to the columnar structure of the films as a mechanism of perpendicular magnetisation in amorphous thin films.

Conclusions
The Co-Zr-Ta-B amorphous films of 250 nm thickness were deposited using DC magnetron sputtering from a single alloy target. The effect of argon sputtering pressure (1.6-6.2 mTorr) on the thin film growth mechanisms, global magnetic behaviours, magnetic domains, and high-frequency permeability response was investigated. The structural analysis of the films confirmed the amorphous nature of the atomic structure at the local scale. Thin-film growth mechanism drastically changed from a homogeneous structure to a porous columnar structure when the deposition pressure elevated from a low (1.6 mTorr) to a high-pressure (6.2 mTorr) regime. The columnar growth of the films was ascribed to the lower energy of sputtered atoms arriving at the substrate and a self-shadowing effect. The films deposited under low-pressure retained dominant in-plane uniaxial magnetic anisotropy, though an incremental increase in the PMA component as a function of deposition pressure was observed, as confirmed by the evolving BH loops and faint stripe domain patterns. The anisotropy of the films deposited under high-pressure completely transformed to perpendicular, thus resulting in an out-of-plane magnetic configuration, as confirmed by isotropic transcritical BH loops, stripe magnetic domain pattern, and multiple mode resonance in high-frequency permeability spectrum. The OOMMF micromagnetic simulations further confirmed the origin of multiple resonance peaks was associated with the dominant PMA in high-pressure films. We conclude that the origin of PMA in the present amorphous films is associated with porous columnar microstructure, grown due to the high sputter deposition pressure. Thus, we suggest that the ultra-soft magnetic performance of amorphous films can be retained by carefully selecting a low-pressure deposition regime to avoid the porous columnar growth of films. In-plane easy axis is along the x-axis, the thickness is along the z-axis, and the configuration is periodic along the y-axis. Inset 1 shows the cross-section of the static magnetisation configuration (arrows indicate the magnetisation direction, the green colour indicates the magnetisation direction along the positive x-axis, the orange colour shows the magnetisation along the negative x-axis). Inset 2 shows the FMR magnitude distribution (red colour indicates a larger magnitude, the blue colour indicates a smaller magnitude). Inset 3 shows the static magnetisation configuration of the films. All inset images were generated using OOMMF micromagnetic software (version 1.2 (beta), http://math.nist.gov/oommf ).

Methods
Amorphous films of Co 84 -Zr 4 -Ta 4 -B 8 (atomic %) alloy were deposited by a DC-magnetron sputtering (Nordiko Advanced Energy NDX 2500-W) deposition technique. DC magnetron sputtering was used on an 8″ single alloy target (Testbourne Ltd., 99.9% purity) with a throw distance of 5.5 cm. The same alloy target was used for all deposition runs. The sputtering chamber was pumped down to a base pressure of ~ 10 -7 mbar. Prior to deposition, the substrates (100 mm diameter Si/SiO 2 , 0.25 um thermal oxide) were cleaned by generating an RF plasma in the sputtering chamber at 1 kW for 25 min using high purity argon gas. An adhesive layer of 20 nm thickness of Ti was deposited prior to the deposition of the magnetic film. An aligning magnetic field was used during deposition, and a DC power of 1 kW was applied to the target material. The deposition was in a bottomup configuration and the wafers were sitting on a carousel. The carousel rotation throughout the deposition was kept constant at 10 revolutions per minute (RPM). A Dektak profilometer was used to determine the stress and thickness of each film. The deposition rate was calibrated at 22.7 nm/min by measuring the step height of the films. The thickness of the magnetic material was kept constant at 250 nm for the whole series of films. The flow rate of the argon gas was adjusted using a mass flow controller before every deposition run to achieve the desired argon pressure for the sputtering of the magnetic alloy. Seven films were deposited under the same deposition parameters except varying the argon pressure in the range of 1.6-6.2 mTorr. XRD was used to determine the atomic structure of each film (XRD, Phillips Xpert diffractometer, Cu Kα − 1.54 Å). Surface morphology images were taken with a SEM and AFM (Bruker Dimension Icon). The solidus temperature of the Co-Zr-Ta-B alloy was found using Pandat software (version 2019, https ://compu therm .com), based on the thermodynamics database. The temperature of the substrate during deposition was measured using temperature-sensitive labels (Radionics). TEM lamella cross-sections were prepared using a DualBeam FIB (FEI Helios NanoLab 600i). The microstructural analysis was performed using a high-resolution transmission electron microscope (HR-TEM, Jeol 2100, 200 kV) using a double tilt sample holder. The resistivity of each film was measured using a 4-point probe setup and the resistivity of the titanium layer was subtracted in each case. The static magnetic properties were investigated by using a B-H loop tracer (SHB, MESA 200 HF) on the 100 mm wafer. Magnetic domain images were taken over a 10 µm × 10 µm area using MFM (Bruker Dimension Icon) at the remnant state of the magnetisation along with surface topography images. A high-frequency Permeameter (Ryowa, PMM 9G) was used to measure the permeability of 4 mm × 4 mm samples taken from the centre of each wafer. Micromagnetic simulations were undertaken using OOMMF micromagnetic software (version 1.2 (beta), http://math.nist.gov/oommf ). www.nature.com/scientificreports/ Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creat iveco mmons .org/licen ses/by/4.0/.