For advancement in future spintronics, the diluted magnetic semiconductors (DMSs) might be understood for their origin of ferromagnetic aptness. It not much clear to the ferromagnetism in DMS, that is intrinsic or via dopant clustering formation. For this, we have included a review study for the doping of transition metal and rare earth ions in ZnO. It is realized that the antiferromagnetic ordering is found in doped ZnO to achieve high-TC ferromagnetism. X-ray diffraction and Raman spectra techniques have been used to detect the wurtzite ZnO structure and lattice defects. Since ZnO has different types of morphology formation that is generally dependent on synthesis conditions and dopant level. The band gap energy of ZnO and lattice defect formation are shown by photoluminescence technique. The room temperature ferromagnetism is described with bound magnetic polaron (BMP) model in which oxygen vacancies play a major role. However, the temperature-dependent conditions are responsible for ferromagnetic ordering. The first principle calculation is used for dopant ions in ZnO for their replacement of Zn2+ atoms in the wurtzite structure as well as magnetic contribution.
- ZnO ferromagnetism
- lattice structure
Diluted magnetic semiconductors (DMSs) and oxides raised hopes of applications based on single elements combining the logic functionalities of semiconductors with the information storage capabilities of magnetic elements . The research on DMSs is fascinating during the 1980s on II-VI semiconductors with little magnetic impurities that opened the optical and electronic phenomenon to introduce magnetic field effects . The DMS required high Curie temperature, TC, for a material. Initially, II-VI semiconductors such as CdMnTe and ZnMnSe are widely investigated as DMSs for which the valence of the cation matches with the common magnetic ions, i.e., Mn . Since the hole induced ferromagnetic order in p-type InMnAs and GaMnAs, a lot of research is carried out on III-V-based DMSs that unfortunately failed to give room temperature ferromagnetism (RTFM). After that, a lot of efforts are carried out to result RTFM in III-V-based DMS, i.e., GaN, GaSb, InAs, and oxide-based DMS, ZnO, TiO2, SnO2, In2O3, etc. These DMSs are attracting potential interest in spin-based information-processing applications. It needs high TC for such DMSs of GaN and ZnO that may relate for their wide-band gap . However, the spintronic applications like spin-valve transistors, spin light-emitting diodes, nonvolatile memory, logic devices, etc. have remarkable interest of RTFM of DMSs . Among DMSs, the Mn-doped GaAs is found to be ferromagnetic with TC ∼ 172 K is widely investigated .
1.1 DMS opens new window for spintronics
Even though low transition temperatures, ferromagnetism in diluted magnetic semiconductors, DMSs is essential to explore new ideas to develop spintronic technology, which is actually the electrical manipulation of magnetism . A small Mn percentage in III-V semiconductors of (In, Mn)As and (Ga, Mn)As replaces Ga or In atoms to stabilize the exchange interaction between charge carriers and localized spins. Due to low carrier concentration in these DMSs, it is possible to control a considerable portion of carriers by external electric fields using metal–insulator–semiconductor or p-n junction configuration (Figures 1a,b). It has a thin ferromagnetic semiconductor layer, to the extent that the field significantly alters the stability of the ferromagnetic phase and other magnetic properties. The value of TC is controlled in a ferromagnet with the application of an electric field which was observed for metal–insulator–semiconductor configuration of (In, Mn)As thin films . Later, electrical manipulation of the coercive field (HC) is also possible for (In, Mn)As which means an applied electric field changes the magnetic anisotropy . This is the exchange interaction which splits the carrier states according to the spin-orbit interaction .
1.2 DMS made up as a computer memory
For low-power-consumption computer memory devices, the DMSs influencing the magnetization direction to achieve magnetic data-storage and memory devices of hard disks directs with the direction of magnetization . In a hard disk, the data is stored on a disk-shaped magnet in local magnetization form; to write information, a pulse of current is applied to a small electromagnet that scans the disk. In this process, an energy is wasted due to a magnetic field exists between the current and the manipulated magnetization. However, a spin-polarized current is applied directly to the magnet instead of using current to generate the magnetic field is an alternative way as schematized in Figure 1c. Such a current would exert torque on the magnetization by exchanging spin-angular momentum with it as it passes through the magnet. Exploitation of this phenomenon, called spin torque, is expected to allow the development of compact magnetic memory devices that can run on low-power consumption. In Figure 1c, the metal–insulator–semiconductor device involving a semiconductor—a (GaMn)As film—that has ferro magnetic properties at low temperatures . The device includes a ‘gate’ electrode isolated electrically from the (GaMn)As film. When a negative voltage is applied to the gate electrode, carriers in the film that have positive charge (electron “holes”) are attracted toward the electrode and vice versa. This property allows the density of the electron holes, and thus the magnetic anisotropy in the (GaMn)As film beneath the electrode, to be controlled electrically, resulting in a change in the magnetization direction.
1.3 Ferromagnetic origin in DMS
The researcher has initially found high TC in doped III-V DMS, which for a long time was stuck at 110 K . After that, several groups stressed out the defects—mainly Mn atoms that form interstitials rather than substituting for Ga—responsible for this limit, and TC was raised up to 150 K. Dietl  proposed a Zener model to perform so many experiments on (Ga, Mn)As, which create problem with higher concentration of Mn due to the interplay between the disorder and localization, and electron–electron correlations have a very influential effect on carrier-mediated ferromagnetism at and above room temperature . For example, for the Co-doped ZnO, the Co occupies the Zn sites as Co is paramagnetic and there is no ferromagnetism associated with Co, even when lots of carriers are added by Al co-doping and the temperature is very low (5 K) . Moreover, the solubility of Co in ZnO is high, making it is easy to substitute Co for Zn throughout the crystal. However, by considering defect-mediated ferromagnetism, an intrinsic form of high-TC ferromagnetism in dilute magnetic oxides with lots of defects is observed. This is because electrons associated with defects couple antiparallel to dopant spins within the orbital volume of the defect. With high TC, the defect coupling is strong. But, it is difficult to control defects for practical applicability. To realize high-temperature ferromagnetism in DMSs, a wide-band gap ZnO is undoubtedly a major development if the ferromagnetism is unambiguously established to be intrinsic (carrier induced) . Coey et al.  proposed that the ferromagnetic exchange is mediated by shallow donor electrons to form bound magnetic polarons that overlap to create a spin-split impurity band. It is reported that the oxygen vacancies might change the band structure of host oxides to induce ferromagnetism . The formation of BMP, which includes electrons locally trapped via oxygen vacancies, with the trapped electron occupying an orbital overlapping with the d shells of transition metal (TM) neighbors, might explain the room temperature ferromagnetism (RTFM) in DMS. Within the BMP model, the greater density of oxygen vacancy yields a greater overall volume occupied by BMP, thus increasing their probability of overlapping more TM ions into the ferromagnetic domains to enhance ferromagnetism. Zhen et al.  used first principle calculations on Co-doped ZnO and observed the exchange coupling mechanism that accounts magnetism with oxygen vacancies.
1.4 DMS ZnO
DMS ZnO has the hexagonal wurtzite structure (direct wide-band gap, Eg ∼ 3.3 eV at 300 K) due to its stability at room temperature and normal atmospheric pressure. The atomic arrangement of the wurtzite structure is comprised of four zinc ions (Zn2+) occupying the corner of a tetrahedral coordinate with one oxygen ion (O2−) located at the center and vice versa (Figure 2a) . The particle size, doping, and co-doping are used to induce the band gap of ZnO . Dietl et al.  reported RTFM for DMS for which 3d ions substituted ZnO. However, the nanocrystals of pure ZnO also produce RTFM . Gao et al.  suggested oxygen vacancies locating at the surface of ZnO nanoparticles are responsible for RTFM. It is also found that the ZnO nanoparticles had absorbed certain organic molecules to modify the electronic structure to give RTFM without any magnetic impurity ions .
1.4.1 Ferromagnetism of ZnO with transition metal ions
From the survey of many theoretical studies, it has been found that a slight doping of TM metal ions is likely ∼5%, induce ferromagnetic ordering that observed at room temperature . Venkatesan et al.  postulated on the basis of spin-split donor impurity-band model to observe RTFM in DMS ZnO with 5% of Sc, Ti, V, Fe, Co, or Ni, but not Cr, Mn, or Cu ions. For Cr, Mn, Cu, or Zn, no moment appreciably greater than the experimental uncertainty (<0.1 μB) is observed at room temperature. The basic action in a spintronic device is that the electrons are traveling from a ferromagnetic metal, through a normal metal, to a second ferromagnetic metal. When the magnetizations of the two ferromagnetic metals are in an aligned state, the resistance is low, whereas the resistance is high in the antialigned state. For the light 3d elements, the 3d↑ states lie high in the 2p(O)-4 s(Zn) gap, overlapping the donor impurity band which is spin split (Figure 2b). In the middle of the TM series, there is no overlap with the 3d levels and exchange is weak, but toward the end of the series, the 3d↓ states overlap the impurity band, which then has the opposite spin splitting for the same occupancy. The high TC is found whenever unoccupied 3d states overlap the impurity band, but not otherwise. The likely origin of the donor impurity band in ZnO films is lattice defects, such as oxygen vacancies, which have trapped between one and two electrons (F0 centers) . The electrons in the impurity band will be localized by the influence of electronic correlations and potential fluctuations associated with the dopant cations.
1.4.2 Theoretical survey on magnetism of DMS ZnO with TM = Cr, Mn, Fe, Co, and Ni ions
Wang et al.  reported that the Cr, Fe, Co, and Ni dopants in ZnO occupy the Zn sites and couple antiferromagnetically, while Mn exhibits no site preference and distributes uniformly in ZnO lattice. For hexagonal ZnO, the lattice constants are a = b = 3.249 Å and c = 5.205 Å [space-group P63mc (No. 186)]. The ZnO thin film containing 28 formula units (Zn28O28) is shown in Figure 1c . To find the magnetic coupling among TM ions, the two Zn atoms are replaced with two TM (= Cr, Fe, Co, and Ni) atoms with a dopant concentration of 14.28%. The preferred magnetic coupling between the TM atoms is determined with ferromagnetic (FM) and antiferromagnetic (AF) coupling by comparing their total energies, ΔE = EAF − EFM. Positive ΔE means that the FM state is lower in energy than the AF state. In Figure 1c, when the two TM atoms are at the nearest neighbor sites on the surface, the corresponding magnetic couplings are AF. It is also reported that the total-energy difference between FM and AF states is reduced to 0.006–0.032 eV, when the distance between two TM atoms are increased to about 5.60 Å. It means that the AF interactions are short ranged in TM/ZnO. Srinivasulu et al.  suggested various 3d TM such as Ti, V, Cr, Mn, Fe, Co, Ni, and Cu that are also tried as dopants in ZnO to improve its optical and electrical behavior. Among these dopants, V, Cr, Mn, Co, Ni, and Cu are recognized as suitable dopants of ZnO for spintronic and magneto-optical communication devices due to their RTFM. In TM ions, the magnetization arises from partially filled 3d shells, and most of the cases since total orbital magnetic moment is zero, the magnetic moment is only due to the spin component, and hence total magnetic moment per atom is less . Among TM/ZnO, Co deserved a special attention due to its highest magnetic moments (4.8 μB) and a positive magnetic exchange coupling constant . Coey et al.  explained ferromagnetism in intrinsically n-type semiconductors and insulators by a model, where shallow donor electrons, created due to intrinsic defects in the semiconductors, form bound magnetic polarons with magnetic cations, which finally give rise to the ferromagnetic interaction. For BMPs, the localized spins of the dopant ion interact with the charge carriers such as oxygen vacancies, resulting in a magnetic polarization of the surrounding local moments . The mediated oxygen vacancies are dependent upon dopant level and nanostructural formations.
1.4.3 Rare earth ions attributed ferromagnetism in DMS ZnO
In rare earth (RE) elements, magnetization appears due to unfilled 4f orbitals leading to higher magnetic moment per atom, though 4f electrons interacted with 5d or 6 s electrons , but exhibits weak exchange interaction with other RE ions, which is contrast to TM ions 3d electrons are directly interacted. The RE ion-doped ZnO has ferromagnetism that is induced by p-f hybridization via defect carriers . Compared with 3d TMs, 4f RE ions have larger magnetic moments. The intrinsic defects such as oxygen vacancies play an important role on the magnetic properties of RE/ZnO. However, the exchange interaction by simultaneous doping from TM and RE ions in ZnO is 4f-5d-3d, which is antiferromagnetic when the 5d band is less than half full and the 3d band is more than half full. The first principle calculations revealed that the superexchange interaction between two magnetic Nd ions is mediated by the nonmagnetic O ions responsible for higher magnetic moment of ZnO . This approach of doping RE elements with intrinsic strong magnetic anisotropy and tailoring the coupling between dopants and defects should be a general approach toward stable ferromagnetic order in ZnO nanomaterials. Among RE ions, Sm3+ with five 4f electrons offers a unique possibility to induce the bifunctional properties for RTFM as well as visible luminescence in ZnO, making suitable material in spin transport properties and spin-LEDs .
2. Experimental methods
The DMS ZnO materials are synthesized by different methods such as thermal evaporation method , chemical vapor deposition , sol-gel spin-coating technique , spray pyrolysis , hydrothermal synthesis , solid state reaction , coprecipitation method , etc.
3. Results and discussion
Recently, a lot of research work has been reported on RE ion-based DMS ZnO . Sun et al.  reported La-doped ZnO quantum dots in which luminescent behavior is greatly enhanced by introducing defects and oxygen vacancies (VO). This is due to larger ionic size of La3+ in ZnO lattice that induces stress. However, Bantounas et al.  suggested the weak magnetic coupling in Gd/ZnO and the material remain paramagnetic at room temperature. Aravindh et al.  gives origin of ferromagnetism in Gd/ZnO in which oxygen vacancies play an important role. Using DFT calculation, it is analyzed that the RE Ce atoms replaced those Zn sites in the wurtzite structure, which is the nearest neighbor to TM/Fe or Co atoms . The 4f electrons in Ce are tightly bound around the nucleus and shielded by 5s2p6d16s2 electrons, leading to strong local spin. For Ce-doped TM/ZnO, the larger ratio of dopant cation to cation radius structure causes more defects, leading to a larger concentration of electrons and holes.
3.1 Wurtzite structure and defect calculation in DMS ZnO
3.1.1 X-ray diffraction of Zn0.94Fe0.03Ce0.03O and Zn0.94Co0.03Ce0.03O nanoparticles
The Zn0.94Fe0.03Ce0.03O (ZFCeO) and Zn0.94Co0.03Ce0.03O (ZCCeO) nanoparticles were synthesized by a sol-gel process . Figure 3a shows the X-ray diffraction (XRD) results for ZFCeO and ZCCeO nanoparticles using Rietveld refinement (space group P63mc). The Rietveld refinement initiated with Zn2+ and O2− atoms is located at (1/3, 2/3, 0) and (1/3, 2/3, z), respectively. The XRD reflections result into a hexagonal wurtzite ZnO phase. The refined lattice parameters are a(Å) = 3.259(1) and 3.262(3) and c(Å) = 5.215(3) and 5.218(2); unit cell volume, V(Å3) = 47.9682(3) and 48.0828(2); bond length, lZn-O(Å) = 1.9826 and 1.9842; Rp(%) = 6.57 and 6.95; Rwp(%) = 9.0 and 9.8; and χ2 = 1.97 and 2.05, respectively, for ZFCeO and ZCCeO. Lattice parameters for the hexagonal wurtzite ZnO structure is also calculated using the relation
where a, c, h, k, l, and d have their usual meaning. The value of bond length is calculated :
where u is a positional parameter. The volume per unit cell for the hexagonal system is calculated using.
The calculated values of the lattice parameters are a(Å) = 3.257, 3.256, 3.260, and 3.261; c(Å) = 5.207, 5.206, 5.214, and 5.217; c/a = 1.5987, 1.5988, 1.5994, and 1.5998; lZn-O(Å) = 1.9808, 1.9825, 1.9829, and 1.9837; and V(Å3) = 47.834, 47.796, 47.987, and 48.044, calculated for Zn0.97Fe0.03O (ZFO), Zn0.97Co0.03O (ZCO), ZFCeO, and ZCCeO, respectively. The calculated values of the c/a ratio of ZFO and ZCO are slightly increased over pure ZnO (c/a = 1.598) due to the shape/size effect of the nanorods. But, it is again enhanced with RE ions due to the ionic size effect. Therefore, the observed variation in lattice parameters with doping indicated displacement of atoms in wurtzite lattice to create defects, i.e., vacancies or interstitials. It is also reported that the average size, D, of nanoparticles is 97 ± 4 nm and 106 ± 3 nm for ZFCeO and ZCCeO, respectively. The lattice defects are also evaluated with Raman and photoluminescence spectra. The zero-field cooling (ZFC) and field cooling (FC) magnetization measurement at H = 500 Oe and T = 300–5 K show AF-FM transitions. At 5 K, the measured value of Ms(emu g−1) = 0.339 and 0.478 for ZFCeO and ZCCeO, respectively. For ZFCeO, the weak RTFM is formed due to the mixed valance states Fe2+/Fe3+ via oxygen vacancies.
3.1.2 Lattice structure and defect/vacancy evaluation by Raman spectra
The Zn0.95Ni0.05O (ZNiO), Zn0.91Ni0.05Ce0.04O (ZNiO/Ce), Zn0.95Cu0.05O (ZCuO), and Zn0.91Cu0.05Ce0.04O (ZCuO/Ce) nanoparticles were synthesized by sol-gel process . XRD pattern found wurtzite structure with lattice distortion to perform lattice defects. The average particles size is D = 27, 81, 57 and 159 nm, respectively, measured for ZNiO, ZNiO/Ce, ZCuO, and ZCuO/Ce. The Raman modes observed at room temperature for these pure Ni-, Cu-, and Ce-doped ZnO are shown in Figure 3b. The presence of E2 mode in all samples indicates that the doping does not change the wurtzite phase. It is observed that Ni and Cu doping on ZnO gradually decreases the intensity of E2(high) mode as compared with pure ZnO . But, it is again strengthen with Ce co-doping. This type of change in E2(high) mode with dopant ions might induce structural defects and local lattice distortions of wurtzite lattice . The E2(high)-E2(low) modes indicate oxygen defects or vacancy formation. The peak position of E2(high) mode also changes with Ni, Cu, and Ce doping that is ascribed with the change in the level of oxygen vacancies . The magnetic results also reported low temperature ZFC/FC magnetic measurement that show AF-FM ordering and the doping of Ce ions results to high Tc. At 300 K, the values of Ms(emu g−1) = 0.073, 0.085, 0.053, and 0.132, and at 10 K Ms(emu g−1) = 0.096, 0.198, 0.136, and 0.251, respectively, for ZNiO, ZNiO/Ce, ZCuO, and ZCuO/Ce. The enhancement in the oxygen vacancies and ferromagnetism with Ce doping might depend on mixed valence state Ce3+/Ce4+ ions.
3.1.3 Photoluminescence spectra for Fe-, Co-, and Mn-doped ZnO nanoparticles
The photoluminescence spectra for Fe (0.15%)-, Co (0.20%)-, and Mn (0.20%)-doped ZnO nanoparticles are given in Figure 3c . Pure ZnO nanoparticles show emission maxima at 385 nm along with blue (424 nm, 468 nm) and green (521 nm) luminescence. Transitions from Zn interstitials to valence band are attributed with blue emission (424 nm). Oxygen vacancies are related with blue (468 nm) and green emission (521 nm). The green emission is understood to be due to the recombination of electrons in singly occupied oxygen vacancies with photoexcited holes in the valence band. The blue emission is caused by two defect levels, either transition from Zni to the valance band or transition from bottom of the conduction band to the interstitial O(Oi).
3.1.4 UV-Visible absorption spectra and Tauc plot
Figure 3d′ shows UV-visible absorption spectra measured at room temperature for Ni-, Cu-, and Ce-substituted ZnO nanoparticles. The absorption peaks are observed corresponding to violet emission, i.e., ZNiO (409 and 426 nm), ZNiO/Ce (433 nm), ZCuO (407 and 427 nm), and ZCuO/Ce (401 and 429 nm). In order to evaluate the effect of dopant on Ni, Cu, Ce, on ZnO, the energy band gap, Eg, is calculated using the Tauc relation  used for a direct transition using: ; and for an indirect transition:. The symbols in these equations have their usual meanings. In Figure 3d, the value of direct band energy, Eg(direct) = 3.38, 3.42, 3.41, and 3.44 eV, and from Figure 7d′′, the indirect energy band gap, Eg(indirect) = 3.13, 3.21, 3.19 and 3.24 eV, respectively measured, for ZNiO, ZNiO/Ce, ZCuO, and ZCuO/Ce. These values of Eg show small variation with bulk sample of pure ZnO . However, a significant change in Eg value from direct and indirect measurement clearly indicates that some of the defect states are present in the forbidden region.
3.2 Microstructural study of DMS ZnO
3.2.1 SEM image of Mn-doped ZnO nanowires
The ZnO nanowires were synthesized by a thermal evaporation method with 1 atom % Mn doping . Figure 4a is a SEM image of Mn/ZnO nanowires of several micrometer lengths and 70 nm diameters. The reported work given TC to be 437 K from SQUID measurements. The difference of ΔMR is up to 2.5% as the gate voltage changes from −40 to +40 V at T = 1.9 K, which suggests the electric field control of ferromagnetism for realizing spin logic devices.
3.2.2 HRTEM of Zn0.92Fe0.05La0.03O nanoparticles
DMSs Zn0.92Fe0.05La0.03O (ZFLaO53) nanoparticles were synthesized by sol-gel process . The value of nanoparticles size is 99 nm. The lattice spacing is calculated from high-resolution transmission electron microscopy (HRTEM) images (Figure 4b), which show that the distorted lattice has an enhanced interplanar spacing d [(101) planes] of ∼ 0.247 nm. It is also observed from HRTEM that some fractions within the lattice fringes are formed. This may due to some ferromagnetic clustered growth by dopants in Zn2+ lattice. The high crystallinity of the particles is evident from the selected area electron diffraction.
3.2.3 TEM of Zn0.91Ni0.05Ce0.04O nanoparticles
3.3 First principle calculation for DMS ZnO with TM and RE ions
3.3.1 Magnetic behavior of Zn1-xTMxO (T = Cr, Mn, Fe, Co, and Ni)
The magnetic properties of Zn1-xTMxO (T = Cr, Mn, Fe, Co, and Ni) thin films are investigated using first principle calculations on the basis of DFT theory within the generalized gradient approximation (GGA) . Self-consistency is achieved by allowing the total energy to converge within 1 meV because of very small-energy difference expected between the FM and AF states. Figure 5a1–a4 shows that TM 3d levels dominate the density of states (DOS) at the Fermi energy and overlap with O 2p states. This indicates that there is a strong interaction between TM and the neighboring O atoms, which results into opposite magnetic moments of O atoms. The contribution to the moment coming from TM 3d orbitals is 2.859μB, 3.930μB, 3.189μB, 2.095μB, and 1.015μB for TM = Mn, Cr, Fe, Co, and Ni, respectively. In the ground state configuration, the AF state is found to be lower in energy by −0.094, −0.601, −0.832, −0.098, and − 0.102 eV than the FM state for Zn0.929TM0.071O with TM = Cr, Mn, Fe, Co, and Ni, respectively.
3.3.2 Densities of states of Gd ions in ZnO
Figure 5b shows the first-principle calculation for Zn46O48Gd2 and Zn46O47Gd2 nanowires with and without oxygen vacancies, VO . The spin-up and spin-down DOSs of doped nanowire are significantly different from that of the pristine nanowire. The majority Gd f states (spin-up) that are located well below the valence band maximum are fully occupied. However, the minority unoccupied Gd f states are localized in the vicinity of the Fermi level. The Gd d states in the conduction band overlap with the Gd f states. The hybridization of Gd f states with the states of the host material occurs at the Fermi level. By introducing oxygen vacancies, the Gd f state near the Fermi energy becomes partially occupied by donor electrons. Consequently, the carrier concentration around VO is increased, which mediates the interaction between the s (mostly from Zn) and f electrons. This is evident from the DOS, as the s-f coupling is more prominent than p-f and f-f couplings. For such case, the carrier involved long-range ferromagnetic order to determine the exchange interactions in DMS ZnO. Moreover for these Gd-doped ZnO, oxygen vacancies donate two electrons to the system, mediating the ferromagnetic exchange, and hence, the s-f coupling is more prominent than other mechanisms.
3.3.3 Giant anisotropy in Nd/ZnO nanowire
In Figure 5c, the origin of the giant magnetic moment and anisotropy at atomic level is performed by spin-polarized DFT calculations on Zn52O54Nd2 nanowire model using spin density (Δρ = ρ↑ − ρ↓) and the projection of DOS onto the O-2p and Nd-4f orbitals . The total magnetic moment is high as 6 μB calculated from supercell and 3 μB per unit cell, and the two Nd atoms are ferromagnetically coupled. It is found that the magnetism mainly comes from the 4f electrons of Nd ions with the local spin moment of ∼3 μB, and both Zn and O atoms have nearly zero spin contribution. Moreover, significant hybridization is observed between Nd 4f and O 2p orbitals, which leads to the superexchange interaction between two magnetic Nd ions mediated by the nonmagnetic O ions. Both O and Zn vacancies are considered, and it is found that VZn can enhance the magnetism of about 1 μB as compared with defect-free system. This enhanced magnetism mainly comes from the unsaturated 2p orbitals of the surrounding O atoms.
3.4 DMS ZnO with TM = Cr and Mn ions
3.4.1 RTFM in Zn0.94Cr0.06O nanorods
The Zn0.94Cr0.06O nanorods were synthesized by a radio frequency magnetron sputtering deposition technique at different substrate temperatures . The Cr K-edge X-ray absorption near-edge structure and X-ray photoelectron spectroscopy (XPS) results revealed that the Cr3+ ions are located at the substitutional Zn sites. The magnetization versus the magnetic field (M-H) loops of Zn0.94Cr0.06O nanorods measured at room temperature is shown in Figure 6a. The moment per Cr atom increases with the increasing substrate temperature. The sample prepared at room temperature has a net moment of 0.76 μB/Cr. With increasing substrate temperature to 650°C, the value of magnetic moment shows a remarkable increase to 1.16 μB/Cr. The coercive field, Hc, of Zn0.94Cr0.06O nanorod grown at room temperatures, 300, 500, and 650°C, are around 104, 42, 53, and 82 Oe, respectively.
3.4.2 Temperature-dependent magnetization in Mn(1 atom%)/ZnO nanowires
The Mn(1 atom%)-doped ZnO nanowires were synthesized by a gas phase surface diffusion process using MBE system . Figure 6c shows the M-H hysteresis loops measured at T = 10, 100, 200, 300, and 350 K for an assembly of Mn-doped ZnO nanowires. The extracted Ms is 2.2 μB/Mn ion at 10 K and reduces to 1.4 μB/Mn ion at 300 K. Both values are smaller than the theoretical value of 5 μB/Mn ion of Mn2+ state . The temperature-dependent magnetization (Figure 6b) via ZFC and FC at H = 100 Oe shows a typical FM behavior while no intersection is observed in the temperature region of 10–400 K, which reaffirms that Tc is higher than 400 K. However, these FC/ZFC curves show the blocking temperature at Tb = 90 K. The existence of the blocking temperature may result from intrinsic defects, such as oxygen vacancies , which contribute weak intrinsic ferromagnetism. The bifurcation begins to increase as the temperature goes below 100 K, and the effect of the external magnetic field starts to overcome the thermal fluctuation and dominate the overall magnetization when the temperature is lower than 100 K.
3.4.3 Magnetism with simultaneous doping from Mn and Dy in DMS ZnO
Figure 6d shows the magnetic results at room temperature with simultaneous doping of Mn and Dy in ZnO nanoparticles prepared by sol–gel process (Mn = 0 and 2% and Dy = 0, 2, 4, and 6%) . The M-H results show that as doping concentration of Dy is increased, magnetic behavior changes from weak ferromagnetic/superparamagnetic to ferromagnetic states. The observed magnetic behavior is linked with oxygen vacancies as determined with EXAFS and PL measurements. The oxygen vacancy-mediated exchange interaction between the Dy3+ ions is due to the formation of BMPs.
3.5 DMS ZnO with RE ions
3.5.1 RTFM in Sm/ZnO
The RTFM is enhanced with Sm doping into ZnO is given by M-H hysteresis at room temperature (Figure 7a) . It infers that ferromagnetism is intrinsic and formed due to the percolation of BMPs. These BMPs are made up with magnetic cations and defect carrier. A very weak ferromagnetism is observed in pristine ZnO, which is the effect of Zni and/or oxygen vacancy defects rather Zn vacancies (VZn). Because the formation energy of VZn is too high, it is not preferably formed in ZnO .
3.5.2 RTFM in Nd/ZnO
The pure and Nd-doped ZnO nanoparticles were synthesized by the coprecipitation method, and the magnetic results are shown by M-H hysteresis (Figure 7b) . All the M-H hysteresis exhibited weak ferromagnetism at room temperature. However, the magnetization increases with increasing Nd3+ concentration. The value of saturation magnetization, MS, is (emu g−1) = 0.041, 0.051, and 0.069, respectively, for Zn0.97Nd0.03O, Zn0.94Nd0.06O, and Zn0.91Nd0.09O. The concentration of oxygen vacancies has a major role in mediating FM exchange interaction among Nd3+ ions. It is revealed that O vacancies and Zn interstitials are generated with an increase in Nd3+ doping to induce long-range ferromagnetism consistent with the BMP model. Moreover, the s-f coupling between the RE ions (f) and the ZnO host(s) states contributed ferromagnetism of DMSs . The coercivity is also increased with Nd3+ concentration.
3.5.3 Temperature-dependent magnetization in Gd/ZnO
Ney et al.  reported that for small doping concentrations (1.3% Gd), a large fraction of the Gd atoms is substitutional on Zn lattice sites within wurtzite structure. The magnetic behavior is purely paramagnetic with magnetic moment 7 μB/Gd. Figure 7c shows the temperature-dependent magnetization from SQUID measurement for Gd-doped ZnO with different Gd concentrations using FC and ZFC conditions . No separation between FC and ZFC magnetization occurs at any temperature, which provides no evidence for ferromagnetic-like behavior. Therefore, all samples have to be considered as paramagnetic. This is in contrast to previous work, where signs of ferromagnetic-like behavior are found for Gd-doped ZnO .
3.6 DMS ZnO with Fe and La ions
3.6.1 RTFM in Fe/ZnO nanorods
The Zn1-xFexO (ZFO) [x = 0.01 (ZFO1), 0.03 (ZFO3), and 0.05 (ZFO5)] nanorods were synthesized by a sol-gel process . The XRD pattern revealed the hexagonal wurtzite structure with Fe doping. TEM images show nanorod formation with an average diameter, D(nm) = 10, 48, 14, and 12, and length, L(nm) = 23, 113, 50, and 30, respectively, for ZnO, ZFO1, ZFO3, and ZFO5. Figure 8a shows M-H hysteresis for pure and Fe-doped ZnO at room temperature. Pure ZnO exhibits diamagnetic behavior, whereas ZFO samples display superferromagnetic behavior. The values of are Ms(emu g−1) = 0.233, 0.459, and 0.328, respectively, measured for ZFO1, ZFO3, and ZFO5 nanorods. The variations in MS values depend on factors like shape and size of nanostructures, concentration of dopants, and lattice defects. Furthermore, an F-center exchange (FCE) mechanism has been employed to illustrate the ferromagnetism of Fe-doped ZnO nanorods . In this mechanism, the group is common for which an electron is trapped in the oxygen vacancy to make an F-center, where the electron occupies an orbital (pz), which overlaps the orbital of the d shells of both iron neighbors. The interactions between the ferromagnetic and paramagnetic or antiferromagnetic components lead to variations in saturation magnetization. Another mechanism is related with BMP formation by the alignment of the spins in TM ions .
3.6.2 Valence states of Fe in DMS ZnO influenced magnetic ordering
Figure 8b shows Fe 2p XPS spectra in a binding energy 707–728 eV of Zn0.94Fe0.03Ce0.03O (ZFCeO) nanoparticles to find their contribution into ferromagnetism . The Fe2+ and Fe3+ 2p3/2 peaks always show satellite peaks at 6 and 8 eV above the principal peaks at 709.5 and 711.2 eV, respectively. The satellite peak is found in energy region of 6–8 eV above 2p3/2 principal peak, which indicates that ZFCeO DMS has Fe coexisting in both Fe2+ and Fe3+ states. For this, a multiple fitting of Fe 2p peaks with satellites show peaks corresponding to Fe2+ (709.60 and 722.51 eV) and Fe3+ (710.82 and 723.97 eV). It indicates that the Fe ions have mixed valences of +2 and + 3. The peaks related with 2p3/2 709.89 eV and 2p1/2 723.35 eV are also observed. Therefore, it is found that the Fe exists in mixed Fe2+ and Fe3+ oxidation states to give RTFM due to Fe2+-Fe3+ transitions via oxygen vacancies.
3.6.3 Magnetic ordering with La ions in Fe/ZnO nanoparticles
The magnetic results for Zn0.95Fe0.05O (ZFO5) and Zn0.92Fe0.05La0.03O (ZFLaO53) with Ms(emu g−1) = 0.328 and 0.044 and Mr(emu g−1) = 0.0083 and 0.0064 with Hc(Oe) = 12 and 144, respectively, are reported. The origin of observed magnetism at room temperature for La-doped ZFO5 is described via ZFC and FC magnetization SQUID measurement. Figure 8c shows temperature-dependent ZFC and FC measurement with H = 500 Oe. The superimposition of ZFC/FC plots between 150 and 300 K, as well as their clear separation at low temperature with blocking temperature, TB is observed. The observed TB might correspond with Néel temperature, TN (∼42 K) of AF . For more detail, M-H hysteresis is also measured at 200, 100, 50, and 10 K (Figure 8c′). The values Ms and Mr are enhanced with temperature when going from 300 to 10 K. This is due to the exchange interaction from AF to FM states. It is also shown that for 200–50 K, Hc varies so slowly, but at 10 K, it abruptly increased to 117 Oe, which is smaller than 144 Oe that is observed at room temperature. It means after AF transition, there is some possibility of FM clustered growth in ZFLaO sample . The localization of electrons in magnetic clusters leads to develop high-spin and low-spin intersite electronic transitions. These magnetic clusters may also result from magnetic polarons .
3.7 DMS ZnO with Co, La, Gd, and Ce ions
3.7.1 RTFM in La- and Gd-doped Zn0.95Co0.05O nanostructure
Figure 9a shows the M-H hysteresis for Zn0.95Co0.05O (ZCO5), Zn0.92Co0.05La0.03O (ZCLO53), and Zn0.92Co0.05Gd0.03O (ZCGO53) nanostructure, measured at room temperature . The pure ZCO5 shows weak ferromagnetism of Ms(emu g−1) = 0.354 and Mr(emu g−1) = 0.0276 with Hc(Oe) = 40 Oe. However, the La- and Gd-doped ZCO5 result into paramagnetic-type behavior. The weak ferromagnetism in ZCO5 exists due to antiferromagnetic, AF interactions among Co2+ ions [41, 55]. The AF coupling between Co impurities is favored when Co atoms are separated by more than a ZnO unit. While the ferromagnetic coupling is stable if AF interaction in neighboring Co–Co ions falling into contour of BMPs. However, the observed paramagnetism in La- and Gd-doped ZCO5 is related with AF interaction establishment following 4f-5d-3d transition in Co and RE ions, suggested by Singh et al. .
3.7.2 Magnetic ordering in Zn0.996Co0.004O nanoparticles
The Zn0.996Co0.004O (ZCO04) nanoparticles synthesized with sol–gel process for which free-charge carriers and oxygen vacancies might induce long-range ferromagnetic ordering . The XRD pattern results into wurtzite structure of ZCO04. The ZCO04 crystalline product has nanorod formation with D(nm) = 23 ± 3 and L(nm) = 57 ± 5. Figure 9b (inset) showed the RTFM of Ms (emu g−1) 0.0062 and Mr (emu g−1) = 0.0038 with Hc = 54 Oe. However, the pure ZnO nanorods are diamagnetic . Xu et al.  reported RTFM with higher surface-to-volume ratio of nanostructure, which contribute large amount of surface oxygen vacancies defects. It is expected that the RTFM is attributed via exchange interactions among unpaired electron spins arising from either vacancies or surface defects, which is explained on the basis of donor impurity band exchange model form BMPs . It is theoretically investigated that the oxygen vacancies have remarkable change in band structure of host oxides to induce ferromagnetism . For this case of BMPs, the electrons are locally trapped by oxygen vacancies, with the trapped electron occupying an orbital overlapping with the d shells of Co neighbors.
To evaluate the origin of RTFM of ZCO04 nanoparticles, the temperature-dependent magnetization is given in Figure 9b via ZFC and FC at H = 500 Oe. The separation between ZFC and FC starts increasing with reducing temperature from 300 to 5 K which indicates antiferromagnetic interactions converted to ferromagnetic state. The absence of blocking temperature in ZFC might indicate long-range antiferromagnetism without any cluster growth. The exchange interactions between neighboring magnetic ions mediated by an F-center form a BMP contributing long-range ferromagnetism. At 10 K, the magnetic hysteresis is also shown in the inset of Figure 9b with Ms(emu g−1) = 0.0154 and Mr(emu g−1) = 0.002 with Hc(Oe) = 93.
3.7.3 Valence states of Co and O ions in Zn0.996Co0.004O nanoparticles
Figures 9b′,b′′ shows the XPS spectra for Co 2p and O 1 s of Zn0.996Co0.004O (ZCO04) nanoparticles. For Co 2p, the doublet is the spin-orbit coupling (2p3/2 and 2p1/2) given in Figure 9b′. The values of binding energy, Co 2p3/2 ∼ 780.019 eV, 2p1/2 ∼ 795.51 eV, and ΔE ∼ 15.51 eV, and satellite peak (S) ∼ 785.48 eV are observed. The binding energies of Co 2p3/2 and 2p1/2 indicate that the Co ions exist either in +3 or + 2 valence states . The difference ΔE of binding energy among Co 2p3/2 and 2p1/2 levels corresponds well with Co2+ that is homogeneously surrounded by oxygen in tetrahedral coordination . However, the peak S is found in the energy region of 6–8 eV above the principle peak Co 2p3/2 and the value of S ∼ 6 eV. It indicates the formation of multiple coordinations, i.e., tetrahedral or octahedral Co2+ ions. For more clarification, Co 2p peaks shown by octahedral Co2+ () and Co3+ and tetrahedral Co2+ () are clearly marked.
To find defects/vacancies in ZCO04, the O 1 s spectra is shown in Figure 9b′′, which deconvoluted into three peaks (Oa, Ob, Oc) . The peak located on low-binding energy side, Oa ∼ 528.79 eV, is attributed with O2− ions in wurtzite structure. This Oa of O 1 s is associated with Zn-O bonds. The Ob peak at 531.19 eV is associated with O2− ions in the oxygen-deficient regions within the ZnO matrix, which indicate defect formation. The Oc peak at 532.16 eV is attributed to chemisorbed oxygen on the surface of the ZnO.
3.7.4 AC magnetic susceptibility (χ) of Zn0.94Fe0.03Ce0.03O nanoparticles
The temperature-dependent real, χ′(T), and imaginary, χ′′(T), components of the AC magnetic susceptibility of Ce-doped ZFO nanoparticles at frequencies 100, 300, 500, and 1000 Hz are shown in Figure 9c . The frequency-independent peak maxima of χ′ correspond to magnetic phase transition into an AF state with TN = 56 K is observed. A slight dispersion in the χ′(T) after the peak maxima is also observed. It indicates the existence of certain spin glass, ferromagnetic clusters and cluster glass magnetic type states . However, the peak of χ′′(T) increases with decreasing frequency. This is qualitatively different from the behavior of most spin glasses in which we expect an increase of the peak magnitude with increasing frequency. Thus, the obtained AC magnetization data supports the formation of the AF DMS materials with a certain cluster glass formation.
The spintronic materials are the ferromagnetic oxide semiconductors for which both charge and spin degrees of freedom exist, but with weak ferromagnetism and small coercivity, there is a limitation in practical applications. Thus, these DMSs are widely characterized for the development of semiconductor devices, which create a new dimensionality to control and achieve high TC ferromagnetism. The first principle calculation revealed that the Cr, Fe, Co, and Ni dopants in ZnO prefer to occupy surface sites instead of bulk sites, while Mn exhibits no site preference and distributes uniformly in ZnO. In addition, the TM ions in ZnO are intrinsically AF because their substitution at Zn sites does not introduce any extra carriers. The interaction among localized spins on the TM ions and delocalized carrier electrons originating from the O vacancies is responsible for the required magnetic transition. The doping RE ions with intrinsic strong magnetic anisotropy and tailoring the coupling between dopants and defects should have a general approach toward a stable ferromagnetic order in DMS ZnO. The observed magnetism of DMS ZnO for both TM and RE ions might result with BMPs in oxygen vacancies.
This research work is financially supported by CSIR India, for giving a Senior Research Associate fellowship (Pool Scientist; letter No. B-12287).