3.1. Surface Quality: Morphology and Roughness
The SEM and AFM analysis of the thin film surface revealed a relatively smooth surface, with a homogeneous distribution of micron- and submicron-sized droplets, characteristic of PLD growth, as presented in
Figure 2 and
Figure 3, respectively. The SEM images in
Figure 2 show the surface morphology of Co/Cu multilayers with 40 repetitions, grown by PLD and patterned for magnetoresistive measurements. At low magnification (
Figure 2a), the circular deposition area with a diameter of approximately 2 mm is clearly visible, corresponding to the masked pad geometry used for GMR characterization.
The film covers the substrate uniformly within the defined region, with sharp edges dictated by the mask, ensuring reproducible electrode contacts for magnetotransport experiments. At intermediate magnification (
Figure 2b), the surface reveals a high density of bright droplets distributed across the pad. These features are characteristic of PLD-grown metallic films and are typically associated with molten material and/or splashing events during laser ablation. These droplets appear uniformly distributed, suggesting consistent deposition conditions across the full pad area. At high magnifications (
Figure 2c), the droplets are resolved more clearly, showing spherical or irregular morphologies with diameters typically between 200 nm and 1 µm. The underlying surface appears smooth and continuous, indicating that the multilayers maintain good integrity despite the presence of particulates. Such droplets, while introducing localized roughness and potential scattering centres, do not compromise the overall continuity of the Co/Cu multilayers. Taken together, these SEM analyses confirm that the PLD process yields well-defined patterned Co/Cu multilayer pads suitable for GMR measurements. The circular geometry ensures compatibility with electrical probing, while the microstructural features highlight the balance between smooth background film growth and the presence of particulates, a common characteristic of laser-based deposition techniques.
The AFM 3D topography in
Figure 3a represents a Cu thin film grown on BK7 glass (20 × 20 µm
2 scan area) for testing purposes. This image reveals a surface that is largely flat and continuous, with a low background roughness. The film exhibits several bright protrusions scattered across the surface, corresponding to particulates or nano-islands with heights up to ~40–50 nm. These features are sparse and non-uniform in distribution, suggesting that they originate from localized nucleation events or ejected particulates during PLD. The underlying film remains smooth, indicating good substrate coverage and uniform growth. Excluding the tallest particulates, the background surface roughness (expressed as RMS, root mean square) is expected to be very low, typically in the 1–3 nm range for PLD-grown metallic films on glass. This analysis confirms that the PLD-grown Cu thin film on BK7 glass is structurally uniform with low roughness, while occasional particulates contribute to localized surface defects. The low RMS roughness supports good optical quality, essential for magneto-optical applications and/or even for plasmonics [
26,
27], whereas the particulates may act as scattering centres or influence subsequent multilayer growth. Optimizing deposition parameters (e.g., laser fluence, repetition rate, or substrate–target geometry) would help reduce such particulates and further improve surface smoothness. The AFM micrograph in
Figure 3b corresponds to a Cu thin film deposited on BK7 glass, where a metallic mask was employed during growth to define the circular deposition area, as presented in the SEM image from
Figure 2a. The image clearly shows edge-shadowing effects, visible as a gradient in surface contrast from left to right. This shadowing is produced by the partial obstruction of the ablation plume at the mask edges, which leads to variations in local film thickness and surface morphology across the scanned region. Despite this gradient, the central areas of the film remain continuous, with a relatively uniform grain distribution at the nanoscale. The height profile confirms a smooth decrease in thickness toward the masked region, while the power spectral density analysis indicates a predominance of low-frequency roughness components, consistent with the shadow-induced modulation rather than intrinsic surface granularity. Such effects are characteristic of masked PLD processes and must be considered when fabricating patterned multilayers or sensor devices, as they can locally alter both structural uniformity and magnetotransport properties [
28,
29,
30]. The AFM analysis of the Co/Cu multilayer with 40 repetitions deposited on SITAL ceramic (10 × 10 µm
2 scan area) presented in
Figure 4a reveals a continuous film with a granular texture and occasional droplets scattered across the surface. The background surface exhibits a relatively low roughness, with an estimated RMS value of ~4–6 nm, characteristic of PLD-grown metallic multilayers. When the taller droplets are included, the RMS roughness increases to ~12–15 nm, confirming their significant contribution to surface inhomogeneity. The lateral grain size is in the range of 80–150 nm, consistent with metallic multilayer growth. The overall morphology indicates that the multilayer remains structurally uniform, with good adhesion to the ceramic substrate, while the presence of droplets is attributed to splashing and ejection during PLD. Such features are characteristic of PLD growth on ceramic substrates. Importantly, the increased interface density achieved in the 40-period structure strongly favours GMR enhancement, making SITAL-supported multilayers highly promising for sensor applications. In
Figure 4b, the AFM image shows the surface morphology of a Co/Cu multilayer with 40 repetitions deposited on a Si(100) substrate, scanned over a 20 × 20 µm
2 area. The film exhibits a smooth and uniform background, with nanoscale roughness characteristic of PLD-grown metallic multilayers.
The RMS roughness is estimated to be ~3–5 nm across the flat regions, indicating good structural quality and coherent growth on the crystalline silicon substrate. Bright droplets are visible across the surface, with heights ranging from ~100 nm up to ~600 nm, as shown by the colour scale. These features are sparse, with a density of ~0.03–0.05 µm−2, and likely originate from splashing or droplet ejection during laser ablation. Compared to similar multilayers grown on SITAL ceramics, the Si (100) substrate yields a smoother overall surface with fewer high-aspect defects, which is advantageous for reproducibility and integration into microelectronic devices. Nonetheless, the occasional droplets may still act as localized scattering centres, potentially affecting transport uniformity in sensor applications. Thus, a direct comparison between the AFM surface morphologies of 40-period Co/Cu multilayers grown on SITAL ceramics and Si (100) substrates highlights the influence of the substrate on microstructural quality. The higher roughness and defect density are attributed to the polycrystalline and relatively rough nature of the ceramic substrate. In contrast, the Si (100)-based multilayer displays a smoother background, with an RMS roughness of ~3–5 nm. These differences underline the dual effect of substrate choice: SITAL promotes enhanced diffuse spin-dependent scattering at interfaces, which contributes to an increase in GMR amplitude, while Si ensures smoother growth and better reproducibility, more suitable for integration into microelectronic devices.
To further rationalize the influence of surface morphology on magnetotransport properties, the role of interface roughness in spin-dependent scattering must be considered. In multilayer systems, electron transport across successive Co/Cu interfaces is governed by a combination of specular and diffuse scattering processes. For relatively smooth interfaces, as observed for Si(100)-supported multilayers, electron reflection remains predominantly specular, preserving momentum and resulting in lower spin-dependent scattering asymmetry. In contrast, increased roughness, as measured on SITAL-supported films (RMS ~4–6 nm, locally higher when particulates are included), promotes diffuse scattering, where electron trajectories are randomized at the interfaces. This enhances spin-dependent scattering probabilities and contributes to an increase in the GMR response. From a semi-classical perspective, when the characteristic roughness becomes comparable to the electron mean free path, scattering at interfaces becomes more effective, leading to a stronger modulation of resistance between antiparallel and parallel magnetic configurations. These considerations provide a physical framework linking the AFM-derived roughness to the observed enhancement of GMR sensitivity on rougher substrates, while also highlighting the trade-off between structural coherence and scattering efficiency. Such morphological features are expected to directly influence spin-dependent scattering by locally modifying interface roughness and electronic mean free paths.
3.2. Magnetoresistive Response
The magnetoresistive behaviour of the Co/Cu multilayers was investigated by measuring the field-dependent resistance of circular pads patterned during deposition. Electrical contacts were established using a standard four-probe geometry with fine silver wires bonded to the film surface, ensuring low contact resistance and reproducible measurements. A constant current in the milliampere range was applied, and the longitudinal voltage drop was recorded as a function of the applied magnetic field. The relative magnetoresistance was defined as ΔR/R = (R(H) − R(0))/R(0), where R(H) is the resistance under magnetic field and R(0) is the zero-field resistance. Measurements were performed in the field range 0.01–0.625 T, enabling analysis of both the amplitude of the GMR effect and the linear response region. Particular attention was given to the influence of the bilayer repetition number, substrate type, and interfacial quality on ΔR/R amplitude and field sensitivity, which are critical parameters for evaluating multilayers in view of spin-valve and magnetic sensor applications [
31,
32,
33]. This behaviour reflects the cumulative enhancement of spin-dependent scattering at successive Co/Cu interfaces, consistent with the two-current transport model.
The magnetoresistive response of Co/Cu multilayers on SITAL ceramic with 10, 20, and 40 bilayer repetitions is shown in
Figure 5a. All three structures exhibit a negative magnetoresistance, with a characteristic symmetric dependence on the applied magnetic field, typical of spin-valve-type systems. The maximum relative resistance change (ΔR/R) increases with the number of repetitions, reaching values close to −14% for the 40-period sample, compared to ~−9% and ~−6% for the 20- and 10-period samples, respectively. This trend reflects the cumulative contribution of additional Co/Cu interfaces, which enhance spin-dependent scattering and thereby amplify the GMR effect. The sharper magnetoresistance features and increased sensitivity indicate enhanced spin-dependent scattering efficiency, likely associated with improved interface coherence. These results highlight the direct correlation between multilayer periodicity and magnetotransport efficiency, confirming that increasing the number of Co/Cu bilayers is an effective strategy to optimize GMR performance in PLD-grown heterostructures. The magnetoresistive response of Co/Cu multilayers deposited on Si(100) substrates with 10, 20, and 40 repetitions is presented in
Figure 5b. The insets show, schematically, the alignment of the magnetization directions in the Co layers. The amplitude of the resistance change increases systematically with the number of bilayers: the 10-period structure shows a maximum variation of ~−4%, while the 20- and 40-period stacks reach ~−6% and ~−9%, respectively. This trend highlights the cumulative effect of additional Co/Cu interfaces, which enhance spin scattering efficiency and strengthen the GMR effect. Compared with multilayers grown on SITAL ceramics, the Si (100) substrate provides smoother interfaces but also influences the absolute MR amplitude, likely due to differences in lattice mismatch, film adhesion, and strain. The results confirm that substrate choice plays a key role in determining the structural and magnetotransport properties of PLD-grown Co/Cu multilayers, with interface density and growth conditions acting as decisive factors for optimizing GMR performance.
A direct comparison between Co/Cu multilayers grown on Si (100) and on SITAL ceramics reveals clear substrate-dependent effects on the magnetoresistive response. As illustrated in
Figure 6, the substrate plays a decisive role in shaping the interface morphology and, consequently, the magnetotransport response of PLD-grown Co/Cu multilayers. While Si(100) substrates yield smoother interfaces and more coherent spin transport, SITAL ceramics enhance diffuse scattering at rougher interfaces, thereby amplifying the GMR signal despite reduced crystallinity. On Si(100), the maximum ΔR/R reaches ~−9% for 40-period stacks, while on SITAL the response extends to ~−14% under similar conditions. This difference can be attributed to substrate-induced microstructural variations: Si(100) promotes smoother surfaces and more coherent interfaces, but the reduced lattice mismatch and lower roughness limit the degree of spin-dependent scattering. In contrast, the polycrystalline nature and higher surface roughness of SITAL ceramics enhance diffuse scattering at Co/Cu interfaces, amplifying the overall GMR effect despite slightly less controlled crystallinity. Si-grown multilayers provide superior structural quality and reproducibility, whereas SITAL-grown films maximize sensitivity, making them particularly promising for sensor applications. In summary, Co/Cu multilayers on SITAL ceramics yield higher GMR amplitudes due to enhanced diffuse scattering at rougher interfaces, whereas Si(100) substrates provide smoother growth and reproducibility at the expense of sensitivity. In practice, Si substrates are better suited for integration with microelectronic platforms, while SITAL ceramics offer a robust alternative for standalone magnetic field detectors requiring high sensitivity. These findings highlight the versatility of PLD for tailoring Co/Cu multilayers to specific functional requirements, depending on the targeted device architecture, when compared to the literature [
34,
35,
36,
37]. To further rationalize the observed magnetoresistive behaviour, the GMR response of the Co/Cu multilayers can be interpreted in terms of spin-dependent scattering and interface-controlled transport. Within the two-current conduction framework, the total resistance arises from parallel spin channels whose scattering rates are strongly modulated by the magnetic configuration of adjacent Co layers. In the antiparallel state, electron spins experience enhanced scattering due to alternating magnetic potentials across successive layers, leading to higher resistance. Upon application of a magnetic field, the progressive alignment of the Co layer magnetizations reduces this spin-dependent scattering, resulting in a decrease in resistance and the characteristic negative magnetoresistance observed experimentally. The increase in GMR amplitude with the number of bilayers is primarily attributed to the cumulative contribution of Co/Cu interfaces, which act as dominant scattering centres for spin-polarized electrons. A higher interface density increases the probability of spin-dependent scattering events, thereby amplifying the overall magnetoresistive response. This behaviour is consistent with the two-current model, where an increased imbalance between spin-up and spin-down conduction channels enhances the resistance contrast between antiparallel and parallel magnetic states. In addition, the substrate-dependent differences observed between SITAL and Si(100) samples can be directly linked to variations in interface morphology and scattering mechanisms. The relatively higher roughness and structural disorder of SITAL-supported multilayers promote diffuse spin-dependent scattering at Co/Cu interfaces, which enhances the GMR amplitude. In contrast, the smoother interfaces obtained on Si(100) substrates favour more coherent (specular) electron transport, reducing scattering asymmetry and thus limiting the magnitude of the magnetoresistive response, while improving transport stability and reproducibility. Interfacial diffusion further modulates the GMR effect by altering the sharpness of the Co/Cu interfaces. As evidenced by SIMS/SNMS depth profiling, increased interdiffusion leads to a partial mixing of Co and Cu at the interfaces, which reduces spin selectivity and weakens the GMR response. Conversely, sharper interfaces in higher-period multilayers preserve spin-dependent scattering asymmetry, contributing to both enhanced magnetoresistance and improved Hall mobility. These combined effects demonstrate that the magnetotransport properties of PLD-grown Co/Cu multilayers are governed by a delicate balance between interface density, structural coherence, and diffusion-driven intermixing. This interpretation is fully consistent with the structural observations and reinforces the dominant role of interface morphology in governing both magnetic and magnetotransport properties in PLD-grown multilayers. These magnetotransport trends are closely reflected in the magnetic response of the multilayers, as discussed in the following section.
3.3. Magnetic Properties
The hysteresis cycles of Co/Cu multilayers with 10, 20, and 40 repetitions deposited on SITAL ceramic substrates, presented in
Figure 7a, confirm their soft magnetic character and highlight the effect of multilayer periodicity on magnetic performance. A slight asymmetry can be observed in the hysteresis loop of the 40-period multilayer. However, this feature does not indicate the presence of an exchange bias effect, as no antiferromagnetic pinning layer (e.g., FeMn, IrMn, or NiO) is incorporated in the present Co/Cu multilayer structures. In conventional exchange-biassed systems, a loop shift arises from interfacial exchange coupling between ferromagnetic and antiferromagnetic layers, typically established after field cooling through the Néel temperature, conditions that are not applicable here. The observed asymmetry is therefore more likely related to extrinsic effects associated with the microstructure of PLD-grown films, such as interfacial roughness/droplets, slight thickness variations, and structural inhomogeneities. In addition, residual stress and growth-induced anisotropy may introduce a weak unidirectional contribution, which may locally modify domain nucleation and magnetization reversal pathways. No systematic loop shift or training effect characteristic of exchange bias was observed, further supporting this interpretation. All samples display ferromagnetic-like behaviour with low coercive fields (~12–20 kA·m
−1) and modest remanence, resulting in squareness ratios of only ~0.13–0.16, indicative of weak pinning and easy magnetization rotation.
The observed variation in coercivity with the number of bilayer repetitions can be directly related to structural uniformity and interface quality within the multilayer stack. In thinner structures (10-period multilayers), local thickness fluctuations, interfacial roughness, and partial intermixing can act as pinning centres for domain-walls, leading to slightly higher coercive fields. As the number of bilayers increases, the growth process becomes progressively more stable, resulting in improved layer continuity and reduced thickness dispersion across the stack. This enhanced structural uniformity facilitates smoother domain wall propagation and reduces pinning effects, thereby lowering the coercivity in thicker multilayers. Such behaviour is consistent with the evolution of interface sharpness observed in SIMS/SNMS profiles and the improved morphological homogeneity revealed by AFM analysis.
The saturation magnetization increases systematically with the number of bilayers, from ~100 kA·m
−1 for 10 repetitions to ~150–160 kA·m
−1 for 20 and up to ~290–300 kA·m
−1 for 40, reflecting the larger ferromagnetic volume and stronger cumulative interfacial coupling in thicker stacks. At the same time, the 40-period sample exhibits the steepest slope near zero field (highest initial susceptibility, ~0.35–0.40) together with the lowest coercivity, which together favour efficient domain-wall motion and spin alignment under small applied fields. These features, combined with the enhanced magnetoresistive response already observed in transport measurements, demonstrate that PLD-grown Co/Cu multilayers on SITAL substrates act as soft magnetic systems with tunable properties, making them highly promising for spin-valve and magnetic sensor applications.
Figure 7b shows the hysteresis cycles of Co/Cu multilayers with 10, 20, and 40 repetitions deposited on silicon substrates, providing insight into how the substrate influences their magnetic properties. All samples display soft ferromagnetic behaviour with low coercive fields, consistent with efficient magnetization reversal and weak domain pinning. The saturation magnetization increases systematically with the number of bilayers, from ~80 kA/m for 10 repetitions to ~120 kA/m for 20 and reaching ~200 kA/m for 40 periods. Compared to the SITAL-based multilayers, the Si/SiO
2-grown films exhibit overall lower saturation values, reflecting the smoother surface and reduced interfacial scattering associated with crystalline substrates. At the same time, the sharper slope near zero field in the 40-period sample indicates a higher initial susceptibility, beneficial for spin alignment in low-field conditions. These results confirm that silicon substrates promote more coherent growth and reproducibility, while still enabling tunable soft magnetic properties with increasing multilayer thickness, making them highly relevant for integration with microelectronic platforms [
38,
39,
40].
A slight asymmetry is observed for the 40-period Co/Cu multilayer deposited on SITAL. However, the loop does not show a pronounced lateral displacement, step-like reversal, or minor-loop character. From
Figure 7a, the possible horizontal shift is estimated to remain below ~5–10 kA·m
−1, i.e., less than ~2% of the full applied-field range, and is therefore too small to be assigned to a robust exchange-bias effect. This is consistent with the absence of an intentional antiferromagnetic pinning layer and with the fact that no field-cooling procedure was applied. Similarly, no significant vertical shift is observed with respect to the saturation magnetization, indicating that any uncompensated or pinned magnetic contribution, if present, remains minor. The observed asymmetry is therefore more consistently attributed to non-uniform domain-wall propagation within a heterogeneous pinning landscape, rather than to a true exchange-bias mechanism [
41,
42,
43,
44,
45]. Pronounced asymmetric magnetization reversal, often associated with clear hysteresis-loop shifts and enhanced coercivity, is typically observed in exchange-biassed systems such as CoO/Co bilayers, Co/CoO granular films, and Co/Pt multilayers, where interfacial coupling between ferromagnetic and antiferromagnetic phases plays a dominant role [
46,
47,
48]. In contrast, in multilayered systems as is the case for the present Co/Cu multilayers, such behaviour may arise from local variations in interface roughness, thickness, residual stress, droplet density, or defect distribution, which generate spatially heterogeneous pinning landscapes for domain-wall motion. This interpretation is supported by reports showing that asymmetric reversal can originate from dipolar coupling and domain-wall pinning in multilayers, even when the asymmetry is not associated with a conventional exchange-bias mechanism. Gottwald et al. showed that asymmetric reversal in coupled multilayers can arise from magnetic domains and stray field-induced pinning, while simulations of structured ferromagnetic systems have shown that random anisotropy, hard/soft regions, and defects can generate asymmetric or pseudo-exchange-bias-like loops even in the absence of an antiferromagnetic layer [
49,
50]. In the present PLD-grown Co/Cu multilayers, this effect is expected to be amplified in the 40-period SITAL sample because the higher number of Co/Cu interfaces increases the probability of cumulative roughness, local interfacial disorder, and magnetostatic coupling between neighbouring magnetic layers. The SITAL substrate further promotes a rougher growth morphology compared with Si(100), which can enhance local anisotropy variations and domain-wall pinning. A contribution from trace oxidation cannot be fully excluded, especially at Co-rich interfaces or free surfaces, but the absence of a clear loop shift, strong coercivity enhancement, or training-like behaviour indicates that oxide-related exchange bias is not the dominant mechanism. Interfacial Dzyaloshinskii–Moriya interaction is also unlikely to be the main origin, since the present structure does not include a heavy-metal interface designed to generate strong spin–orbit coupling, and the literature on Co thin films indicates that DMI-related chiral asymmetry is not generally relevant for inversion-symmetric metallic systems. Overall, the weak asymmetry observed in the 40-period SITAL sample is best interpreted as a morphology- and defect-assisted reversal asymmetry, governed by domain-wall pinning, local anisotropy variations, and magnetostatic interactions accumulated across the multilayer stack, rather than by a genuine exchange-bias effect. This interpretation is fully consistent with the structural observations and reinforces the dominant role of interface morphology in governing both magnetic and magnetotransport properties in PLD-grown multilayers.
To conclude, a direct comparison of the hysteresis loops obtained for Co/Cu multilayers deposited on SITAL ceramics and silicon substrates reveals both similarities and distinct substrate-driven differences. In both cases, the films exhibit soft magnetic behaviour characterized by low coercivity and weak remanence, which are essential features for spin-valve applications where rapid and reversible magnetization switching is required. However, the SITAL-based multilayers consistently reach higher saturation magnetization values (up to ~300 kA·m−1 for 40 repetitions) compared to those grown on silicon (~200 kA·m−1), a result of enhanced diffuse scattering and interface roughness in the ceramic-supported films that amplify spin-dependent contributions. Conversely, the silicon samples display smoother hysteresis curves with lower absolute magnetization but improved reproducibility and sharper near-zero-field slopes, reflecting more coherent growth and reduced structural disorder at the interfaces. For spin-valve devices, these differences imply a trade-off: SITAL substrates favour stronger GMR signals and higher sensitivity due to enhanced scattering, whereas silicon substrates offer better structural uniformity and integration compatibility with microelectronics, supporting stable and reproducible device operation.
3.4. Charge Carrier Density and Hall Mobility Analysis
The Hall effect measurements performed on Co/Cu multilayers grown on SITAL ceramics provide complementary insights into their charge transport properties. In contrast to SITAL-based multilayers (
Figure 7), the Si-supported samples (
Figure 8) provide an insight into the variation in the sheet carrier density with applied magnetic field (
Figure 8a) revealing a strong field dependence, particularly in the 10-period multilayer where the carrier density changes abruptly, reaching values on the order of 10
18 cm
−2. In contrast, the 20- and 40-period samples show more stable behaviour, with smaller fluctuations around zero field and a faster convergence to steady-state values at higher fields. This stabilization with increasing repetitions reflects improved multilayer continuity and interface quality, reducing localized charge trapping and interdiffusion effects. The corresponding Hall mobility curves (
Figure 9a) show a clear dependence on bilayer number: the 10-period sample exhibits the lowest mobilities (with sharp drops near zero field, down to −20 cm
2/V·s), while the 20- and 40-period samples sustain higher and more stable mobilities, reaching values of −5 to −3 cm
2/V·s under applied fields.
The enhanced mobility in thicker multilayers is consistent with better-defined Co/Cu interfaces, which favour coherent charge transport and reduced scattering. When compared to the literature reports on sputtered or MBE-grown Co/Cu multilayers, where typical Hall mobilities are in the range of −1 to −10 cm
2/V·s and carrier densities remain around 10
18–10
19 cm
−2, the PLD-grown SITAL-based films exhibit competitive transport properties despite the presence of PLD-induced particulates [
51,
52,
53]. These results confirm that increasing the number of bilayers not only enhances the GMR response but also improves the electronic transport stability, consolidating the role of PLD as a viable method for fabricating spin-valve architectures with tunable charge carrier dynamics. The simultaneous decrease in carrier density and increase in mobility suggests a transition toward more coherent transport regimes as interface quality improves. A comparison of the Hall effect results for Co/Cu multilayers grown on SITAL ceramics (
Figure 9a) and on silicon substrates (
Figure 9b) highlights the strong influence of the substrate on charge transport. In both cases, increasing the number of bilayers leads to a reduction in sheet carrier density and a simultaneous increase in Hall mobility, reflecting improved multilayer continuity and better-defined interfaces. However, the absolute values differ significantly: SITAL-based multilayers (
Figure 10b) exhibit lower carrier densities (~10
18 cm
−2) and moderate mobilities (–5 to −4 cm
2/V·s for 40 periods), while silicon-supported (
Figure 10b) films show higher carrier densities (~10
19–10
20 cm
−2) and more pronounced improvements in mobility with increasing thickness (from −20 cm
2/V·s in 10-period stacks to ~−3 cm
2/V·s in 40-period samples). These differences can be attributed to the smoother and more coherent interfaces formed on crystalline silicon, which promote efficient charge transport but maintain higher carrier concentrations, versus the rougher SITAL substrates, where enhanced diffuse scattering lowers carrier density but also limits mobility gains.
From a spintronic perspective, SITAL-grown films are advantageous for maximizing GMR sensitivity due to stronger spin-dependent scattering, while silicon samples offer superior electronic transport stability and are better suited for integration with microelectronic platforms [
51,
52,
53].
3.5. Interfacial Phenomena, Interdiffusion and Chemical Composition
In PLD, the interfacial structure of multilayers is strongly governed by the kinetic energy and temporal characteristics of the ablated species, which are directly controlled by the laser parameters (fluence, pulse duration, and repetition rate). Under the present deposition conditions (266 nm wavelength, 7 ns pulse duration, and fluence of ~4 J·cm−2), the ablation process generates a highly energetic plasma plume containing ions, atoms, and clusters with kinetic energies typically in the range of a few to several tens of eV. Upon arrival at the substrate, these species can induce localized atomic displacements and promote ballistic mixing at the growing interfaces. In parallel, the transient thermal load associated with each laser pulse leads to rapid local heating followed by ultrafast cooling, creating non-equilibrium conditions that enhance short-range diffusion across Co/Cu interfaces. As a result, the effective interface width is determined by the combined contribution of ballistic intermixing and thermally activated diffusion processes. This explains the broadened elemental transitions observed in SIMS/SNMS depth profiles for low-period multilayers, where cumulative interface roughness and incomplete layer stabilization promote interdiffusion. Conversely, in thicker multilayers (20–40 periods), the progressive stabilization of the growth front and improved layer continuity limit intermixing, leading to sharper interfaces and enhanced spin-dependent scattering asymmetry. These observations establish a direct link between PLD parameters, interfacial diffusion, and the resulting magnetotransport properties.
The interfacial analysis by SIMS/SNMS depth profiling provided direct evidence of the interfacial properties within the Co/Cu multilayers. In samples with a low number of repetitions, e.g., 10 periods, the elemental transitions between Co and Cu layers appeared broadened, indicating partial interdiffusion and reduced interface sharpness. This observation correlates with the AFM and SEM results, where higher surface roughness and particulates were more pronounced, and with the transport data, where lower Hall mobilities and weaker GMR amplitudes were measured.
A semi-quantitative estimation of the interface width can be obtained from the slope of the Co and Cu signals in the SIMS/SNMS depth profiles. Considering the instrumental depth resolution (≈1–5 nm) and the observed transition gradients, the effective interface width is estimated to be on the order of ~6–10 nm for 10-period multilayers, decreasing to ~3–6 nm for 20 periods and approaching ~2–4 nm for the 40-period stacks. Although these values include contributions from sputter-induced broadening, they clearly indicate a progressive sharpening of the interfaces with increasing numbers of bilayers. This trend suggests that the characteristic diffusion length scale is reduced as the multilayer growth becomes more stable, which is consistent with the improved morphological uniformity and enhanced magnetotransport performance observed in thicker stacks.
In contrast, the 20- and especially the 40-period multilayers exhibited sharper and more periodic Co/Cu profiles, with reduced intermixing at the interfaces. These results are consistent with smoother background morphology, higher magnetic susceptibility, and enhanced GMR response, alongside stabilized Hall carrier densities and improved mobility. Importantly, the SIMS/SNMS analysis also revealed substrate-related effects: films grown on silicon showed generally sharper interfaces compared to those on SITAL, in line with their smoother AFM surface and lower roughness, while SITAL-based samples, although exhibiting slightly more interfacial diffusion, benefited from stronger spin-dependent scattering that boosted GMR amplitudes. Altogether, these findings confirm that interface sharpness plays a decisive role in governing magnetotransport properties, linking structural integrity at the nanoscale to the macroscopic performance of spin-valve architectures.
To conclude, the estimated sensitivities clearly show that the magnetoresistive response strengthens with the number of bilayers. The 40-period multilayers exhibit the steepest slope in the ΔR/R–H curve, reaching ~44%/T, almost twice the value of the 10-period samples. This trend confirms that increasing the number of Co/Cu interfaces enhances spin-dependent scattering and thus amplifies the GMR effect. The higher interface density in the 40-period structures not only improves sensitivity but also contributes to a more linear response around zero field, which is particularly advantageous for magnetic sensor applications. SIMS/SNMS depth profiles confirmed that multilayers with higher repetition numbers exhibited sharper Co/Cu interfaces and reduced interdiffusion, consistent with the enhanced GMR amplitudes and stabilized Hall transport properties, whereas broader elemental transitions in thinner stacks correlated with lower mobility and weaker magnetoresistive response. When compared with the literature values for sputtered Co/Cu spin-valves, where field sensitivities typically range between 20 and 50%/T depending on microstructural quality and interface engineering [
54,
55,
56], the PLD-grown multilayers reported here show competitive performance. In particular, the 40-period PLD samples approach the upper end of reported sensitivities, underscoring the potential of laser-based deposition for fabricating high-quality multilayers. This is noteworthy, since sputtering is usually considered the benchmark technique for GMR devices, while PLD offers additional flexibility in substrate choice, stoichiometric transfer, and excellent film growth control [
57,
58,
59].
To provide a concise comparison of the structural, magnetotransport, and charge transport parameters across all investigated samples, the main results are summarized in
Table 1. Beyond the individual trends observed in morphology, magnetotransport, and magnetic response, the present results highlight a broader conceptual outcome: the GMR performance of Co/Cu multilayers can be deliberately engineered through the combined control of interface density, substrate-induced morphology, and laser-driven growth conditions. In this context, possible oxidation of Co and Cu layers must also be considered when analyzing multilayer integrity. Under the present deposition conditions (base pressure ~7 × 10
−5 mbar and room temperature growth), oxidation is expected to be limited. SIMS/SNMS depth profiles did not reveal significant oxygen-related signals correlated with the Co/Cu interfaces, indicating that no substantial oxide layer formation occurred within the detection limits of the technique. While trace oxygen contamination at the ppm level cannot be completely excluded, its contribution is expected to be negligible compared to the dominant effects of interfacial roughness and interdiffusion. This is further supported by the strong GMR response observed, since significant Co oxidation (e.g., CoO formation) would reduce spin polarization and suppress the magnetoresistive effect. Therefore, oxidation does not appear to play a major role, and the observed magnetotransport behaviour can be primarily attributed to structural and interfacial phenomena intrinsic to the PLD growth process.
To place these results in a broader context, it is worth noting that magnetotransport in Cu–Co-based systems is governed by a delicate interplay between microstructure, interface characteristics, and scattering length scales, rather than by geometrical thickness alone. Previous studies on Cu–Co granular thin films have shown that the electron mean free path is typically on the order of a few nanometres, comparable to the characteristic size of structural inhomogeneities, thereby emphasizing the dominant role of nanoscale interfaces in limiting transport properties [
60]. In such systems, competing mechanisms, such as surface scattering, microstructural evolution, and variations in spontaneous magnetization, may partially compensate each other, leading to non-trivial or weak thickness dependencies of the magnetoresistive response. Although the present Co/Cu multilayers differ from granular systems in their layered architecture, a similar physical picture emerges, in which magnetotransport is primarily controlled by interface density, interfacial roughness, and local structural disorder. This comparison supports the interpretation that the enhanced GMR response observed in the present PLD-grown multilayers originates from the cumulative contribution of spin-dependent scattering at multiple Co/Cu interfaces, rather than from a purely geometrical thickness effect, highlighting the central role of interface engineering.
Unlike conventional sputtered systems, where interface quality is largely governed by near-equilibrium growth processes, PLD operates in a highly non-equilibrium regime that enables simultaneous tuning of interfacial roughness, interdiffusion, and spin-dependent scattering. This provides an additional degree of freedom for optimizing the balance between sensitivity and structural coherence. As a result, PLD-grown multilayers offer a versatile pathway toward application-specific design, ranging from high-sensitivity magnetic sensors (favoured by diffuse scattering on SITAL) to reproducible, device-integrated architectures (enabled by smoother Si-based growth). This behaviour can be interpreted within a diffusion-limited growth framework, where the effective interfacial broadening δ scales with the square root of the diffusion coefficient and interaction time (δ ~ √Dt), indicating that the stabilization of the growth front in higher-period multilayers effectively limits atomic intermixing.
To provide a broader physical perspective on the present results, it is important to clarify the origin of the slight asymmetry observed in the magnetization reversal, particularly for the 40-period multilayer on SITAL. Although a weak deviation from perfect symmetry is detected, the absence of a clear horizontal loop shift, coercivity enhancement, or field-history dependence indicates that this behaviour cannot be attributed to a true exchange-bias effect, which is typically associated with interfacial coupling between ferromagnetic and antiferromagnetic phases and manifests as a measurable loop displacement along the field axis [
46,
47,
48]. Instead, the observed behaviour is more consistent with a pseudo-exchange-bias-like asymmetry, as reported in structurally inhomogeneous or purely ferromagnetic systems, where local variations in magnetic anisotropy and morphology can lead to asymmetric reversal without the presence of an antiferromagnetic pinning layer [
49,
50]. In this framework, magnetization reversal is governed by heterogeneous domain nucleation and domain-wall pinning within a spatially non-uniform energy landscape, arising from interface roughness, droplet density, and local thickness variations, which collectively define a complex pinning environment. This interpretation is further supported by studies showing that asymmetric hysteresis behaviour can originate from differences in nucleation processes and domain-wall propagation mechanisms between the ascending and descending branches of the loop [
41,
42,
43,
44,
45]. More generally, these results highlight the central role of interface engineering in determining both magnetic and magnetotransport properties in Co/Cu multilayers. As widely established in spintronic systems, spin-dependent scattering and magnetization dynamics are strongly governed by interfacial characteristics, including roughness, interdiffusion, and structural coherence [
1,
2]. In this context, the progressive increase in GMR amplitude with the number of bilayers confirms that the magnetoresistive response is primarily controlled by interface density rather than by the total thickness of the multilayer stack, consistent with models in which electron mean free paths are comparable to the characteristic length scale of interfacial scattering. Therefore, PLD-grown Co/Cu multilayers can be positioned within the broader class of structurally disordered ferromagnetic systems in which both magnetotransport and magnetic reversal are dominated by interfacial effects. This provides a coherent framework linking the enhanced GMR response and the observed reversal asymmetry to a common physical origin rooted in interface-controlled spin-dependent transport and domain-wall dynamics.