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Effect of Annealing on the Magnetic Properties of Co2MnSi-Based Heusler Alloy Glass-Coated Microwires

Salaheldeen, Mohamed,Ipatov, Mihail,Corte León, Paula,Zhukova Zhukova, Valentina,Zhukov Egorova, Arkady Pavlovich

Abstract

This research was funded by the Spanish MICIN, under PID2022-141373NB-I00 project, by EU under “INFINITE” (HORIZON-CL5-2021-D5-01-06) project and by the Government of the Basque Country, under PUE_2021_1_0009 and Elkartek (MINERVA and ZE-KONP) projects and by under the scheme of “Ayuda a Grupos Consolidados” (Ref.: IT1670-22). In addition, “Financiado por la Unión Europea-Next Generation EU”. We also wish to thank the administration of the University of the Basque Country, which not only provides very limited funding, but even expropriates the resources received by the research group from private companies for the research activities of the group. Such interference helps keep us on our toes.

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Citation: Salaheldeen, M.; Ipatov, M.; Corte-Leon, P.; Zhukova, V.; Zhukov, A. Effect of Annealing on the Magnetic Properties of Co2MnSi-Based Heusler Alloy Glass-Coated Microwires. Metals 2023,13, 412. https://doi.org/ 10.3390/met13020412 Academic Editors: Mauro Giovannini and Jiro Kitagawa Received: 9 December 2022 Revised: 9 February 2023 Accepted: 14 February 2023 Published: 16 February 2023 Copyright: © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). metals Article Effect of Annealing on the Magnetic Properties of Co2MnSi-Based Heusler Alloy Glass-Coated Microwires Mohamed Salaheldeen 1,2,3,4,* , Mihail Ipatov 1,2,4 , Paula Corte-Leon 1,2,4 , Valentina Zhukova 1,2,4 and Arcady Zhukov 1,2,4,5,* 1Departamento de Polímeros y Materiales Avanzados, Facultad Química, Universidad del País Vasco, UPV/EHU, 20018 San Sebastián, Spain 2Departamento de Física Aplicada, EIG, Universidad del País Vasco, UPV/EHU, 20018 San Sebastián, Spain 3Physics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt 4EHU Quantum Center, University of the Basque Country, UPV/EHU, 20018 San Sebastián, Spain 5IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain *Correspondence: [email protected] (M.S.); [email protected] (A.Z.) Abstract: In the current study, we concentrated on the influence of annealing on the magnetic behavior of Co 2 MnSi-based Heusler microwires. We set the annealing temperature at 1023 K for 2 h, as the sample did not show any significant changes in the magnetic properties at lower temperatures, while annealing at temperatures above 1023 K damages the glass coating. Strong in-plane magnetocrystalline anisotropy parallel to the microwire axis was evident in the magnetic behavior at room temperature for as-prepared and annealed samples. The coercivity of the annealed sample was four times higher than that of the as-prepared sample across a wide range of measuring temperatures. Both annealed and as-prepared samples exhibit quite stable coercivity behavior with temperature, which may have interesting applications. The an nealed sample did not exhibit magnetic saturation for M-H loops measured below 50 K. Sharp irreversible magnetic behavior has been detected for annealed samples at a blocking temperature of 220 K; at the same time, the blocking temperature for the as-prepared sample was 150 K. The strong internal mechanical stress induced during the fabrication of Co 2 MnSi microwires in addition to the internal stress relaxation caused by the annealing induced the onset of magnetic phases resulting in unusual and irreversible magnetic behavior. Keywords: Heusler alloys; glass-coated microwires; magnetic properties; annealing; blocking temperature 1. Introduction Amorphous and nanocrystalline glass-coated microand nanowires are particularly intriguing materials in terms of both theory and technological applications. Taylor developed a straightforward manufacturing process for casting short samples of glass-coated microand nanowires in 1924 [ 1 ]. This method was later (between 1950 and 1964) extensively modified by Ulitovsky, who provided a receiving bobbin, which enabled the preparation of quite long (almost continuous) glass-coated microwires [ 2 ]. Large quantities of these microwires may be produced using the modified Taylor–Ulitovsky process [ 3 ]. Additionally, the modern fabrication facility for glass-coated microwire preparation is provided with a feedback system that allows for precise control of the microwire geometry (metallic nucleus diameter, d, and the total of all microwire diameters, D) using a PC [ 4 ]. Accordingly, studies of glass-coated microwires have attracted substantial interest in recent years, largely due to their technical uses, particularly as sensor components in various systems [ 5 ]. Microwires play a significant role in a variety of applications, the majority of which are connected to wireless telecommunications systems, such as satellite global positioning, broadcast satellite television, and cellular telephones as well as various magnetic sensors. Radar systems are also particularly helpful for a number of remote sensing systems, including air traffic control radar, missile tracking radar, and sea radar for identifying moving targets [ 3 – 5 ]. Metals 2023,13, 412. https://doi.org/10.3390/met13020412 https://www.mdpi.com/journal/metals Metals 2023,13, 412 2 of 14 Ferromagnetic-based, glass-coated microwires are among the most promising functional magnetic materials, because of their unique combination of physical (mechanical, magnetic, and anticorrosive) qualities and their fast, low-cost preparation method [3,6]. Among the promising ferromagnetic alloys are Heusler alloys, which have compositions of X 2 YZ (full-Heusler) or XYZ (half-Heusler), where X and Y are transition metals and Z is the major group element; these belong to a category of materials having several applications [ 7 ]. Due to the presence of a band gap around the Fermi energy, the majority of the spin bands in this class of materials exhibit metallic behavior, while the minority of the spin bands exhibit semiconducting or insulating features [ 8 – 10 ]. Therefore, at the Fermi level, these materials exhibit nearly 100% spin polarization [11]. Due to their high Curie point (Tc > 1200 K), adjustable band structure, and low magnetic damping coefficients, Co-based Heusler compounds are among the most promising materials for multifunctional applications [ 12 – 14 ]. Because of the significant Berry curvature associated with their band structure, these alloys also exhibit remarkable and anomalous physical characteristics above and below room temperature [ 15 , 16 ]. As a result, Co-based Heusler compounds are gaining the interest of the scientific community, and extensive studies and investigations have been carried out. Co 2 MnSi is a strong option for an advanced spintronic device, because of its high band gap for minority spins (0.5 to 0.8 eV), high Curie temperature (985 K), high tunnel magnetoresistance, large magnetoresistance ratios, and perpendicular magnetic anisotropy [ 17 – 20 ]. In the last two decades, both experimental and theoretical research on Co 2 MnSi have concentrated on the examination of its structural and magnetic characteristics and on their relationship to spin polarization [ 21 – 23 ]. By using ultraviolet-photoemission spectroscopy, the maximum value of spin polarization for bulk Co 2 MnSi (93%) was found at room temperature [ 24 ]. The properties mentioned above make the Co 2 MnSi Heusler alloy one of the most investigated Co-based Heusler compounds and a suitable material for spintronic applications. Arc melting is the most widely used method for fabricating the magnetic Heusler alloy, followed by thermal treatment to enhance its physical structure [ 25 , 26 ]. Using this technique, it was possible to create large-scale Heusler alloys with adjustable chemical compositions. Additionally, according to reports elsewhere [ 26 , 27 ], several processes are used to produce Heusler alloys in a variety of forms, including thin films, nanoparticles, ribbons, and nanostructured materials. As previously mentioned, miniaturization allows for the modification and enhancement of several physical features of bulk Heusler alloys [26,28–31]. However, there are a number of issues and difficulties with the preparation of any prospective “multifunction and smart” Heusler alloy. The first involves large-scale production of alloys made from Heusler compounds that have the exact same chemical make-up and physical characteristics. In addition, specialized processes are expensive and demand extremely precise physical requirements (ultra-high vacuum, pressure, power, high temperature, and a specific substrate). Modern Taylor–Ulitovsky fabrication facilities make it possible to fabricate ultra-thin and uniform glass-covered microwires, a composite material consisting of a metallic nucleus (diameter 0.1–100 µ m) covered by a glass coating (thickness 2–30 µ m) [ 3 , 32 ]. It is a very promising approach for the creation of multifunctional, smart materials for a wide variety of applications, due to the low cost of large-scale manufacturing (i.e., many kilometers from a tiny ingot (5 g)). Furthermore, the versatility of creating Heusler-based, glass-coated microwires with various structures, including amorphous, nanocrystalline, and granular, offers a special opportunity to study the impact of various microstructure types of the same material on its physical properties [ 32 – 38 ]. Additionally, a flexible, insulating, continuous glass coating offers electrical short-circuit protection, enabling the usage of Heusler-based, glass-coated microwires in environments with harsh chemicals, as well as offering biocompatibility for Heusler alloys’ often biologically incompatible structure [ 39 – 41 ]. However, to the best of our knowledge, such promising Heusler alloys, i.e., Co 2 MnSi-based, glass-coated microwires, have not been investigated before. Therefore, we consider this study, along with our previous study [ 42 ], to be pioneering Metals 2023,13, 412 3 of 14 investigations aimed at revealing the main magneto-structural properties of Co 2 MnSi glasscoated microwires. Some magnetic and structural properties, such coercivity, temperature stability, and irreversibility behavior have not been found in Co 2 MnSi in other physical forms, such as thin films [ 17 – 23 ]. An important point for these differences is the unique internal mechanical stress distribution, which is induced during the fabrication process and determines the magneto-structural behavior. This kind of internal stress distribution can be easily controlled during the fabrication process. In our previous study, we illustrated the magneto-structural properties of as-prepared Co 2 MnSi glass-coated microwires [ 42 ]. In the current study, we focused on the effect of thermal annealing on the magnetic properties of Co 2 MnSi glass-coated microwires. We found that annealing greatly effects magnetic behavior. In addition, we found stable magnetic and structural behavior for annealing temperatures below T = 1023 K. 2. Materials and Methods The facile evaporation of Mn, which would affect the actual nominal composition ratio, made it difficult to fabricate Co 2 MnSi glass-coated microwires with a ratio of (2:1:1), i.e., Co 50 Mn 25 Si 25 . As a result, we began by employing a traditional arc furnace and additional Mn mass to make the Co 2 MnSi alloy. To prevent the Co 2 MnSi alloy from oxidizing during the melting process, we melted high-purity metals Co (99.99%), Si (99.99%), and Mn (99.99%) supplied by Technoamorf S.R.L. Co. (Turku, Finland) under vacuum and in an argon environment. Five melting cycles were required to produce a uniform, highly homogenous Co 2 MnSi alloy. Afterwards, we used Scanning Electron Microscopy (SEM) and Energy Dispersive X-ray (EDX) (JEOL-6610LV, JEOL Ltd., Tokyo, Japan) to determine the nominal chemical composition of the Co 2 MnSi alloy. Once we had the correct alloy composition, we began the manufacture of Co 2 MnSi glass-coated microwires using the Taylor–Ulitovsky approach after confirming the nominal ratio of (2(Co):1(Mn):1(Si)), which entailed drawing and casting straight from the melted Co 50 Mn 25 Si 25 alloy as detailed elsewhere [ 42 – 44 ]. A glass capillary was formed after a high frequency inductor heated an ingot over its melting point. This glass capillary was then filled with the molten Co2MnSi alloy, pulled out, and wrapped onto a revolving pick-up bobbin [ 3 , 43 , 45 ]. The diameter of the metallic nuclei, d, was governed by the speed of wire drawing and the speed of the pick-up bobbin rotation. Additionally, passing the produced microwire through a coolant stream resulted in rapid melt quenching [ 43 , 46 ]. We evaluated the geometric characteristics of Co 2 MnSi glass-coated microwires using SEM, where the metallic nucleus diameter of the Co 2 MnSi produced microwire was d nuclei = 10.2 ± 0.1 µ m and the overall diameter D total = 22.2 ± 0.1 µ m. The most intriguing aspect of the manufacturing method is that, during the rapid solidification process, the metallic nuclei were surrounded by a glass layer, protecting them from oxidation and making this the perfect procedure for Mn-based alloys. Additionally, such a process is linked to elevated internal stresses brought on by rapid quenching itself, by drawing stresses, and by the internal stress originating from the different thermal expansion coefficients of the glass and the metallic nuclei [ 5 , 44 , 47 – 50 ]. After preparation of the Co 2 MnSi glass-coated microwires, annealing was performed at 1023 K for two hours in a conventional furnace in an air atmosphere (insulating glasscoating offers excellent oxidation protection). At an annealing temperature, T ann , above 1023 K and an annealing time above 2 h at T ann = 1023 K, the glass-coating of Co 2 MnSi glasscoated microwire begins to be damaged and, at a higher T ann , can completely disappear. Thus, we only focused on the annealing conditions where glass-coated microwires were not yet damaged. As previously reported, annealing conditions (T ann , and time annealing, t ann ) and even cooling conditions after annealing are important. Therefore, in this case, to reduce disorder and internal stresses, we applied slow (with a furnace) cooling [ 43 ]. Next, the chemical compositions of the samples were determined by EDX. The average chemical composition of around Co 51 Mn 23.9 Si 25.1 proved the validity of the nominal ratio (2:1:1), and the real chemical composition was determined by analyzing the different 10 points as detailed in our earlier study [ 42 ]. Recently, X-ray Diffraction (XRD) BRUKER (D8 Advance, Metals 2023,13, 412 4 of 14 Bruker AXS GmbH, Karlsruhe, Germany) was used to investigate the microstructure of as-prepared Co 2 MnSi glass-coated microwires and analyze the phase content (not shown in current work) [ 42 ]. The annealed sample showed almost the same XRD profile and apparent structure as reported in our previous work for as-prepared samples [ 42 ]. The field cooling and zero-field cooling magnetization curves for temperatures ranging from 5 K to 350 K with an applied external magnetic field of 100 Oe, as well as the room temperature and thermal magnetic behavior of Co2MnSi glass-coated microwire samples were determined using the Physical Property Magnetic System, PPMS (Quantum Design Inc., San Diego, CA, USA). 3. Results 3.1. Microstructure Analysis Microstructure analysis was performed using EDX/SEM and XRD to check the chemical composition and structure of the as-prepared and annealed samples. For the chemical composition, the study of the various 10 points yielded the true chemical composition, and the nominal ratio (2:1:1) s accepted since the average chemical composition was about Co 51 Mn 23.9 Si 25.1 for the annealed and as-prepared sample as described in [ 43 ]. From the XRD analysis we evaluated the average grain size, D g , using the Debye–Scherrer equation for sample annealed at 1023 K for 2h and compared the results with the D g value of the as-prepared sample reported in [43]. The results are provided in Table 1. Table 1. Average grain size (nm) of annealed and as-prepared Co2MnSi glass-coated microwire. Sample Dg(nm) As-prepared 46.2 Annealed at 923 K 50.3 Annealed at 1023 K 64.2 As illustrated in Table 1, the D g for the samples annealed for 2 h at 923 K and 1023 K was higher than that of the as-prepared sample. For the sample annealed at 923 K (2 h), D g increased from 46.1 nm to 50.3 nm, i.e., became only 4.2 nm higher than that of the as-prepared sample. For the sample annealed at 1023 K (2 h), a notable increase in D g of about 18.1 nm was observed, i.e., more than four times higher than the increment observed for the sample annealed at 923 K (2 h) (see Table 1). As discussed elsewhere, usually the devitrification of amorphous Fe-rich materials by annealing above the crystallization temperature (typically above 823 K) is associated with both increasing grain size and crystalline volume fraction [ 50 ]. This kind of tendency in average grain size has also been previously observed in Fe-rich (Finemet-type) glasscoated microwires [ 51 ]. However, in microwires with a nanocrystalline structure obtained directly in as-prepared samples, the evolution of the average grain size upon annealing does not always follow this tendency: in some cases (nanocrystalline Fe–Pt microwires), the average grain size did not change considerably upon annealing [ 52 ], while even a substantial average grain size refinement has been reported in the case of nanocrystalline Hitperm-like microwires [ 53 ]. In discussions of this kind of D g refinement, proposed mechanisms have included either massive nucleation of small grains upon annealing or even dissolution of the unstable crystalline phases and the nucleation and growth of more stable nanocrystals [ 53 , 54 ]. Additionally, as discussed elsewhere [ 52 ], the elevated internal stresses induced during the fabrication process can affect the recrystallization process of materials prepared using rapid melt-quenching methods, due to the nonequilibrium thermodynamics contribution. Indeed, the recrystallization process is substantially affected by atomic diffusion under stress [ 55 ]. As mentioned above, the unique feature of the glasscoated microwires is their elevated internal stresses, which can affect the crystallization process of such microwires [ 43 , 52 , 54 ]. In the present case, the behavior of D g looks similar to the case of Fe 64.7 Pt 33.3 B 2 glass-coated microwires, where only a slight annealing effect Metals 2023,13, 412 5 of 14 on the Dgvalue was observed for certain annealing temperature ranges. A slight increase observed in D g is responsible for a minor change in the magnetic properties of the sample annealed at 923 K (2 h) and for a significant change at 1023 K (2 h) as compared to the as-prepared sample, as will be illustrated in the magnetic characterization section. 3.2. Room Temperature Magnetic Properties To test the magnetic anisotropy at room temperature, the magnetic hysteresis (M-H) loops of Co 2 MnSi glass-coated microwire (as-prepared and annealed) were measured at room temperature for two distinct applied external magnetic field directions. First, we measured M-H loops when H was parallel to the axis of the Co 2 MnSi glass-coated microwire (i.e., in-plane, IP) and perpendicular to it in the second case (i.e., at an angle of 90 degrees, or out-of-plane, OOP). As can be appreciated from Figure 1a,b, both samples show M-H curves with saturation typical for ferromagnetic behavior and consistent with a Curie point previously reported for these alloys to be well above room temperature ( Tc= 985 K) [17] . All hysteresis loops were normalized to the maximum magnetic moment for convenience in comparison. According to Figure 1a,b, both as-prepared and annealed Co 2 MnSi glass-coated microwires exhibit strong uniaxial magnetic anisotropy, as evidenced by the considerable difference between the axial and out-of-axis hysteresis loops. Both samples have considerable remanent magnetization in axial hysteresis loops, compared to the out-of-axis hysteresis loop, which exhibits a linear magnetic behavior and a remanence magnetization that is close to zero. As a result, the hard direction of magnetization is perpendicular to the microwire axis, while the easy direction is parallel to it. Magnetic anisotropy is evidenced by the behavior of the axial and out-of-axis hysteresis loops. The annealed sample shows higher values for all magnetic parameters that can be extracted from the M-H loops. The coercivity, H c , reduced remanence, M r , and the anisotropy field, H k , for both directions (IP and the OOP) are summarized in the Table 2. The main point is that the annealed sample presents different magnetic performance compared to the as-prepared sample and that annealing affects the magnetic microstructure of Co 2 MnSi microwires and the internal stresses induced during the fabrication process. However, it seems that the annealing conditions do not have a strong impact on the magnetic behavior of the as-prepared sample, since overall magnetic behavior has a similar feature. Metals 2023, 13, x FOR PEER REVIEW 6 of 14 Figure 1. Co2MnSi glass-coated microwires, both as-prepared samples (a) and samples annealed at 1023 K for (2 h) (b) ;in-plane (parallel to the wire axis, black loop) and out-of-plane (perpendicular to the wire axis, red loop) hysteresis loops were measured at room temperature. Table 2. The magnetic parameters of Co2MnSi glass-coated microwires of as-prepared and annealed samples in IP and OOP directions. Samples Hc (Oe) Mr Hk (Oe) IP OOP IP OOP IP OOP As-prepared 9 ± 2 43 ± 2 0.27 ± 0.01 0.02 ± 0.01 440 ± 5 7655 ± 4 Annealed 24 ± 2 56 ± 3 0.15 ± 0.01 0.08 ± 0.01 3200 ± 3 9 720 ± 3 3.3. Temperature Dependence of Magnetic Behavior 3.3.1. Zero Field Cooling, Field Cooling, and Field Heating Magnetic Properties It is critical to examine the entire magnetic behavior of the Co2MnSi glass-coated microwire at various temperatures in order to assess its thermal stability, a crucial physical characteristic that will help to evaluate its potential interest for spintronics applications. Temperature dependence can also be a valuable indicator of whether a magnetic phase transition is even a possibility. Using a low magnetic field (H = 100 Oe) and a temperature, T, range of 5 to 350 K, we investigated the magnetization dependence on temperature (M vs. T), i.e., zero field cooling (ZFC), field cooling (FC), and field heating (FH) protocols for the as-prepared and annealed Co2MnSi glass-coated microwires, as shown in Figure 2. The as-prepared and annealed Co2MnSi glass-coated microwire samples were cooled to 5 K under an applied magnetic field (H = 100 Oe), causing the random magnetic moment vectors to freeze parallel to the applied field at low temperatures. For the as-prepared sample, almost perfect matching between the ZFC, FC, and FH was observed (see Figure 2a). The interesting point is that all magnetization curves of the as-prepared sample exhibit large, irreversible magnetic behavior where the change in the magnetic tendency occurs at the blocking temperature (200 K). The same magnetization behavior of ZFC, FC, and FH have been observed for annealed samples at 923 K (2h) (see Figure 2b). There is only a slight mismatch between the ZFC, FC, and FH magnetization curves above and below the blocking temperature. In addition, the ZFC and FH magnetization curves overlap the FC curve at a temperature range 50 K–350 K. This difference must be attributed to the changing microstructure of the Co2MnSi glass-coated microwire during annealing. For the annealed sample at 1023 K (2 h), the ZFC, FC, and FH magnetization curves exhibit complex magnetic behavior compared to the as-prepared sample. As shown in Figure 2c ZFC, FC, and FH magnetization curves exhibit a mismatch. For the ZFC magnetization curve, normalized magnetization starts to decrease with decreasing temperature T within a range of 350 K to 280 K; it then starts increasing with decreasing temperature, reaching Figure 1. Co 2 MnSi glass-coated microwires, both as-prepared samples ( a ) and samples annealed at 1023 K for (2 h) ( b ); in-plane (parallel to the wire axis, black loop) and out-of-plane (perpendicular to the wire axis, red loop) hysteresis loops were measured at room temperature. Due to the presence of crystalline phases and the former magnetic anisotropy of the microwire, there are two primary sources of this high magnetic anisotropy: cubic magnetocrystalline anisotropy and uniaxial magnetic anisotropy, respectively [ 47 , 49 , 56 ]. The axial hysteresis loop does not have a precise squared form, as stated for the anisotropic materials, as illustrated in Figure 1. The presence of the amorphous and crystalline phases (see [ 43 ]) in our situation is what causes the imperfect squared hysteresis loop. Notably, the Metals 2023,13, 412 6 of 14 same finding was recently noted in our earlier work using glass-coated microwires with a Co 2 -based Heusler alloy [ 32 ]. Additionally, our findings coincide with findings for thin films made of Co2-based Heusler alloys found elsewhere [38]. Table 2. The magnetic parameters of Co 2 MnSi glass-coated microwires of as-prepared and annealed samples in IP and OOP directions. Samples Hc(Oe) MrHk(Oe) IP OOP IP OOP IP OOP As-prepared 9 ±2 43 ±2 0.27 ±0.01 0.02 ±0.01 440 ±5 7655 ±4 Annealed 24 ±2 56 ±3 0.15 ±0.01 0.08 ±0.01 3200 ±3 9720 ±3 3.3. Temperature Dependence of Magnetic Behavior 3.3.1. Zero Field Cooling, Field Cooling, and Field Heating Magnetic Properties It is critical to examine the entire magnetic behavior of the Co 2 MnSi glass-coated microwire at various temperatures in order to assess its thermal stability, a crucial physical characteristic that will help to evaluate its potential interest for spintronics applications. Temperature dependence can also be a valuable indicator of whether a magnetic phase transition is even a possibility. Using a low magnetic field (H = 100 Oe) and a temperature, T, range of 5 to 350 K, we investigated the magnetization dependence on temperature (M vs. T), i.e., zero field cooling (ZFC), field cooling (FC), and field heating (FH) protocols for the as-prepared and annealed Co2MnSi glass-coated microwires, as shown in Figure 2. The as-prepared and annealed Co 2 MnSi glass-coated microwire samples were cooled to 5 K under an applied magnetic field (H = 100 Oe), causing the random magnetic moment vectors to freeze parallel to the applied field at low temperatures. For the as-prepared sample, almost perfect matching between the ZFC, FC, and FH was observed (see Figure 2a). The interesting point is that all magnetization curves of the as-prepared sample exhibit large, irreversible magnetic behavior where the change in the magnetic tendency occurs at the blocking temperature (200 K). The same magnetization behavior of ZFC, FC, and FH have been observed for annealed samples at 923 K (2h) (see Figure 2b). There is only a slight mismatch between the ZFC, FC, and FH magnetization curves above and below the blocking temperature. In addition, the ZFC and FH magnetization curves overlap the FC curve at a temperature range 50 K–350 K. This difference must be attributed to the changing microstructure of the Co 2 MnSi glass-coated microwire during annealing. For the annealed sample at 1023 K (2 h), the ZFC, FC, and FH magnetization curves exhibit complex magnetic behavior compared to the as-prepared sample. As shown in Figure 2c ZFC, FC, and FH magnetization curves exhibit a mismatch. For the ZFC magnetization curve, normalized magnetization starts to decrease with decreasing temperature T within a range of 350 K to 280 K; it then starts increasing with decreasing temperature, reaching a maximum value at T = 210 K. A sharp decrease in normalized magnetization has been observed with decreasing temperature, whereby a minimum value was detected at T=5K . This sharp decrease in normalized magnetization indicates large, irreversible magnetic behavior at a blocking temperature of around 210 K. Above this blocking temperature, the FC and FH curves show a different magnetic tendency when the temperature lies within a range of 350 K to 250 K. At this point, the FC and FH have the same tendency when T decreases below 250 K. These differences in the magnetic behavior of the ZFC, FC, and FH are strongly related to the change in the microstructure of the samples with changing the temperature. Such magnetic irreversibility has been shown in Co 2 -based Heusler alloy glass-coated microwires [ 32 , 36 – 38 ]. This irreversibility is highly influenced by the micromagnetic structure of the magnetic materials. Additionally, it appears to be the result of the coexistence of conventional re-entrant ferromagnetism and spin glass-type activity, as previously observed [ 38 , 56 ]. Furthermore, the disordered structure (B2 phase) and chemical makeup of Co 2 MnSi glass-coated microwires affect the irreversibility behavior, causing the magnetic ground state to have a strong antiferromagnetic contribution, particularly at low Metals 2023,13, 412 7 of 14 temperatures for Mn–Mn interaction and random spin disorder (B2 phase), which is also found with the ferromagnetic order (L21phase) [17,56]. Metals 2023, 13, x FOR PEER REVIEW 7 of 14 a maximum value at T = 210 K. A sharp decrease in normalized magnetization has been observed with decreasing temperature, whereby a minimum value was detected at T = 5 K. This sharp decrease in normalized magnetization indicates large, irreversible magnetic behavior at a blocking temperature of around 210 K. Above this blocking temperature, the FC and FH curves show a different magnetic tendency when the temperature lies within a range of 350 K to 250 K. At this point, the FC and FH have the same tendency when T decreases below 250 K. These differences in the magnetic behavior of the ZFC, FC, and FH are strongly related to the change in the microstructure of the samples with changing the temperature. Such magnetic irreversibility has been shown in Co2-based Heusler alloy glass-coated microwires [32,36–38]. This irreversibility is highly influenced by the micromagnetic structure of the magnetic materials. Additionally, it appears to be the result of the coexistence of conventional re-entrant ferromagnetism and spin glass-type activity, as previously observed [38,56]. Furthermore, the disordered structure (B2 phase) and chemical makeup of Co2MnSi glass-coated microwires affect the irreversibility behavior, causing the magnetic ground state to have a strong antiferromagnetic contribution, particularly at low temperatures for Mn–Mn interaction and random spin disorder (B2 phase), which is also found with the ferromagnetic order (L21 phase) [17,56]. Figure 2. Zero field cooling (ZFC), field cooling (FC) and field heating (FH) of Co2MnSi glass-coated microwires, both as-prepared samples (a) and samples annealed at 923 K (2 h) and 1023 K (2 h) (b) and (c), respectively. 0 50 100 150 200 250 300 350 0.0 0.2 0.4 0.6 0.8 1.0 ZFC FC FH H = 100 Oe Normalized magnetization T (K) As-prepared (a) 0 50 100 150 200 250 300 350 0.0 0.2 0.4 0.6 0.8 1.0 1023 K H = 100 Oe (c) Normalized magnetization T (K) ZFC FC FH 0 50 100 150 200 250 300 350 0.0 0.2 0.4 0.6 0.8 1.0 ZFC FC FH H = 100 Oe Normalized magnetization T (K) (b) 923 K Figure 2. Zero field cooling (ZFC), field cooling (FC) and field heating (FH) of Co 2 MnSi glass-coated microwires, both as-prepared samples ( a ) and samples annealed at 923 K (2 h) and 1023 K (2 h) ( b ) and (c), respectively. 3.3.2. M-H Loops At this section we focused on the M-H behavior for the as-prepared sample and sample annealed at 1023 K (2 h), where a notable difference in the magnetization curves has been observed as illustrated at Figure 2. The magnetic hysteresis behavior of as-prepared and annealed Co 2 MnSi glass-coated microwires across a wide range of temperatures (400 K to 5 K) is summarized in Figures 3and 4. All the M-H loops are represented as M/M 5K for a better comparison of the magnetic behavior of the samples, where M 5K is the maximum magnetic moment obtained at 5K. The normalized M/M 5K –values are obtained by normalizing the maximum magnetic moment at different T values to the M 5K value. As shown in Figures 3and 4, all samples, i.e., annealed and as-prepared, exhibit ferromagnetic behavior due to the fact that the Curie point is much higher than room temperature. In addition, the annealed samples exhibit lower normalized saturation magnetization as compared to as-prepared samples. This change must be attributed to a change in the micromagnetic structure as well as to the mechanical stress modification that can be induced by annealing. Moreover, as-prepared Co 2 MnSi glass-coated microwires yield regular M-H curves with saturation for temperatures ranging between 400 K and 5 K as illustrated in Figures 3and 4. Meanwhile, the annealed sample does not show a saturation state even for Metals 2023,13, 412 8 of 14 an applied magnetic field of 30 kOe at temperatures below 50 K. As shown in Figure 4, the slope of the M-H curves increases with decreasing temperature, reaching a maximum at 5 K (see Figure 4d). The unusual magnetic behavior for the annealed sample below 50 K must be attributed to the effect of annealing on the changing microstructure of the Co 2 MnSi glass-coated microwire. One of the reasons for the different M-H character of the annealed sample can be enhancement of the antiferromagnetic coupling for Mn-Mn interaction at low temperatures. Metals 2023, 13, x FOR PEER REVIEW 9 of 14 Figure 3. Co2MnSi glass-coated microwire magnetization curves (M/M5K) for as-prepared samples (black loops) and samples annealed at 1023 K for 2 h (red loops) were measured under a maximum field of 30 kOe and at different temperatures (from 400 K to 100 K). The inset indicates the loops with low scale of the applied magnetic field. -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 400 K (a) -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 100 K (f) -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 150 K (e) -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 200 K (d) -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 300 K (c) -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 350 K (b) -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) 400 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) 350 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) 400 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) 200 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) 150 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) 100 K Figure 3. Co 2 MnSi glass-coated microwire magnetization curves (M/M 5K ) for as-prepared samples (black loops) and samples annealed at 1023 K for 2 h (red loops) were measured under a maximum field of 30 kOe and at different temperatures (from 400 K to 100 K). The inset indicates the loops with low scale of the applied magnetic field. Metals 2023,13, 412 9 of 14 Metals 2023, 13, x FOR PEER REVIEW 10 of 14 Figure 4. Co2MnSi glass-coated microwire magnetization curves (M/M5K) for as-prepared samples (black loops) and samples annealed at 1023 K for 2 h (red loops) measured under a maximum field of 30 kOe and at different temperatures (from 50 K to 5 K). The inset indicates the loops with low scale of the applied magnetic field. As described above, the main peculiar behavior of glass-coated microwires in the presence of the internal stresses is related to the peculiarities of the fabrication process [43,46,57,58]. The main origin of such internal stresses is related to the different thermal expansion coefficients of the metallic nuclei and glass-coating [3,43,46,57,58]. However, the magnetoelastic anisotropy related to these internal stresses can be partially released by annealing, while further crystallization of the amorphous phase (either average growth in grain size or crystalline phase content) or phase transformation induced by annealing can also affect the magnetic behavior of glass-coated microwires. In the present study we focus only on the effect of annealing on the magnetic properties. Further studies can help to understand higher coercivity of the annealed sample. -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 20 K (b) -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 10 K (c) -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 50 K (a) -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Ma g netic Field (kOe) 50 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Ma g netic Field (kOe) 20 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Ma g netic Field (kOe) 10 K -0.2 -0.1 0.0 0.1 0.2 -1.0 -0.5 0.0 0.5 1.0 M/M5K Ma g netic Field (kOe) 5 K -30 -15 0 15 30 -1.0 -0.5 0.0 0.5 1.0 M/M5K Magnetic Field (kOe) As-prepared Annealed 5 K (d) Figure 4. Co 2 MnSi glass-coated microwire magnetization curves (M/M 5K ) for as-prepared samples (black loops) and samples annealed at 1023 K for 2 h (red loops) measured under a maximum field of 30 kOe and at different temperatures (from 50 K to 5 K). The inset indicates the loops with low scale of the applied magnetic field. From the M-H curves measured at various temperatures in the 5–400 K range, both of as-prepared and annealed Co 2 MnSi glass-coated microwires, we can deduce that temperature dependence of H c and the normalized values of remanence, M r, , exhibit remarkable magnetic behavior. As seen in Figure 5a, coercivity of the annealed sample at 1023 K for 2 h is four times higher than that of the as-prepared sample at all measuring temperature ranges. The interesting aspect of H c behavior is the small change in H c with changing T, whereby a difference of around 4 Oe and 6 Oe for the as-prepared and annealed samples, respectively, is observed. Higher coercivity values of the annealed sample can be related to various reasons, such as the different microstructure of the annealed sample, the aforementioned coexistence of ferromagnetic and antiferromagnetic interactions, or even inhomogeneous stress distribution related to the recrystallization process of annealed samples, which can affect the magnetic response to temperature and magnetic field as well. The small variation in coercivity with temperature may manifest the unique thermal stability of coercivity with temperature. This type of H c stability with temperature can be suitable for various applications. Concerning the M r temperature dependence, both Co 2 MnSi glass-coated microwire samples yield low values, whereby a maximum value of around 0.24 was detected for the sample annealed at 5 K. The low M r values indicate that the axial magnetization is not dominant, and additional preferred magnetization direction is assumed. Unfortunately, we are not presently able to define the easy magnetization axis of our samples. As illustrated in Figure 5b, M r behavior as a function of T for the annealed and as-prepared samples is quite unexpected compared to the behavior of H c . For the temperature range of 400–150 K, the as-prepared and annealed samples exhibit the opposite tendency in M r (T) dependencies. The behavior then completely changes when T