R.N. Aljawfi, S. Mollah / Journal of Magnetism and Magnetic Materials 323 (2011) 3126–3132
3131
This may be interpreted as an indication that only minor Co spins
are ferromagnetically coupled and the predominant Co spins
remain uncoupled or even antiferromagnetically coupled [34].
in magnetization by codoping of Ni and Co may be due to
Ni-induced acceptor state localized within the gap region, which
reduces the acceptor mobility. Oxygen vacancies (VO) have also
been proposed to play a significant role for the origin of ferro-
magnetism in oxide DMS [38]. An electron locally trapped in VO
occupies an orbit and overlaps the d shells of Co2þ neighbors.
This has an important role in the spin orientations of neighboring
Co2þ ions. Based on the Hund’s rule and Pauli’s exclusion
principle, spin orientations of trapped electrons and neighboring
Co2þ ions should be parallel in the same direction and the
ferromagnetism should be achieved. More oxygen vacancies lead
to more Co2þ–VO–Co2þ groups, which increases the ferromagnet-
ism in the system [43].
Effective magnetic moment
magnetic susceptibility as given by
m can be calculated from the molar
w
¼ Nb2
m
2=3kT
ð4Þ
where
the number density of doping ions. Substituting the values of N,
b is the Bohr magneton and k is Boltzmann’s constant. N is
b
and k, we may get
m as
1=2
m
¼ 2:827ð
w
TÞ ¼ 2:827 C1=2mB
ð5Þ
where the Curie constant C can be obtained from the slope of wꢀ1
versus. T curves using Eq. (3). The calculated value of
m
for sample
of x¼0.0 is found to be 2.47
mB which is smaller than the value of
spin magnetic moment of Co2þ ions (ꢂ3.87
mB) in tetrahedral
4. Conclusion
symmetry. It confirms that all Co ions do not contribute to the
magnetization of the sample. For x¼0.06 sample, the value of
m is
Nanoparticles of Zn0.9Co0.1ꢀxNixO (x¼0.0, 0.03, 0.06 and 0.09)
DMS were synthesized by sol–gel method with annealing tem-
perature of 500 1C. XRD pattern reveal that all investigated
samples are nanocrystalline powder of hexagonal wurtzite struc-
ture (space group P63mc). The average of nanoparticles size is
19.31–25.71 nm. FTIR and UV–vis spectroscopic data show the
evidence for the incorporation of Co2þ and Ni2þ ions into the
nonmagnetic host of ZnO lattice without any modification in
the structure. The band gap energy decreases with the increase of
Ni and decrease of Co dopants concentration. The RTFM has been
presented in terms of vacancy in the frame of BPM model, where
the Co ions at surface of the nanoparticles can be ferromagneti-
cally coupled and mediated by oxygen vacancies. Because of low
carrier concentration in the system, we cannot use the RKKY
theory to explain the RTFM. As there is no Co metallic cluster in
the present DMS, the cluster as source of ferromagnetism is
ruled out.
2.39 mB which is also smaller than the effective magnetic moment
of Co2þ (ꢂ3.87
m
B) and Ni2þ (ꢂ2.83
mB).
Though the secondary phases are a concern in any DMS system
as a source of spurious magnetic signals, the origin of ferromag-
netism in the present system cannot be attributed to the forma-
tion of secondary phases. The possible secondary phases may be
Co metallic cluster, CoO or NiO. But CoO and NiO are antiferro-
magnetic with small positive susceptibility having TN ꢂ293 and
ꢂ520 K, respectively. The Co metallic cluster can provide the
dominant source of the ferromagnetism [35]. However the XRD
and XPS data do not support the presence of Co metal in the
samples within the sensitivity of XRD and XPS. Therefore, the
possibility of ferromagnetism due to Co metallic cluster can be
ruled out in the present study.
The weak RTFM cannot be explained by Ruderman–Kittel–
Kasuya–Yosida (RKKY) theory [36]. According to this theory, the
magnetization is due to exchange interaction between local spin-
polarized electrons of Co2þ ions and conduction electrons. The
interaction leads to the spin-polarization of conduction electrons.
Subsequently, the spin-polarized conduction electrons perform an
exchange interaction with local spin-polarized electrons of other
Co2þ ions. Consequently, the long-range exchange interactions
lead almost to all the Co2þ ions to have same spin direction. The
conduction electrons act as media for the interaction among
the Co2þ ions, where the free carrier is a necessary condition
for the appearance of ferromagnetism. But for confirming the
existence of free carriers we have studied the resistivity of the
Acknowledgments
We are very thankful to Dr. Mukul Gupta and Dr. T. Shripathi,
UGC–DAE-CSR, Indore, for giving the XRD and XPS characterization
facilities, respectively. The authors are grateful to Dr. A. Banerjee,
UGC–DAE-CSR, Indore, for providing magnetization measurement
facility. Facility provided by the Center of Excellence in Material
Science (Nanomaterials), Department of Applied Physics, AMU,
Aligarh, is highly acknowledged.
samples which is found to be very high (ꢂ105–107
O cm). This
indicates to a very low carrier concentration in the present
samples. A defect mediated ferromagnetism model based on
the bound magnetic polaron (BMP) theory has been predicted
theoretically [37,38] and confirmed experimentally [39,40]. For
instance, surface defects have been implicated to be essential for
the generation of ferromagnetism in DMS oxide [39,41]. In the
present study, the oxygen vacancies have been detected by XPS
and would likely be generated on the surfaces of the nanoparti-
cles. According to BMP theory, when the concentration of surface
defects exceeds the percolation threshold, the surface defects can
overlap many dopant ions as well as adjacent defects, inducing a
ferromagnetic coupling between dopant spins. Thus, we can
speculate that the Co ions at surface of the nanoparticles can be
ferromagneticlly coupled and mediated by oxygen vacancies. If
the ferromagnetism arises from the surface of Co2þ ions, only a
few of them may contribute to the ferromagnetism because most
of the Co2þ ions reside in the core of the nanoparticles. However,
due to the insufficiency of oxygen vacancies in the core of the
nanoparticles, these Co2þ spins are distributed as uncoupled
spins or mediated through oxygen ions [34,42]. The enhancement
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