Growth of the Dilute Magnetic Semiconductor GaMnN by Molecular Beam Epitaxy
M. E.Overberg1,*, G. T. Thaler1,
C. R. Abernathy1, N. A. Theodoropoulou2, K. T. McCarthy2,
S. B. Arnason2, J. S.Lee3, J. D.Lim3, S.
B.Shim3, K. S.Suh3, Z. G.Khim3, Y. D.Park3,
S. J.Pearton1, and A. F. Hebard2
1Department of Materials Science and Engineering, University of Florida, Gainesville, Florida, 32611
3 Center for Strongly Correlated Materials Research,
Seoul National University, Seoul, 151-747, Seoul, Korea
Growth
by molecular-beam epitaxy of the dilute magnetic alloy GaMnN is reported. The Mn concentration as determined by Auger
electron spectroscopy is found to be linear with increasing Mn cell temperature
up to ~43 at % Mn. No second phases are
observed for Mn levels below 9 at %.
The cubic phase Mn4N is found to be the thermodynamically
stable phase at the growth conditions used to produce GaMnN. Hysteresis in M versus H is observed in both
GaMnN and GaMnN:C grown on both sapphire and MOCVD GaN, at several growth
temperatures. Magnetotransport results
show the anomalous Hall effect, negative magnetoresistance, and magnetic
hysteresis, indicating that Mn is incorporating into the GaN and forming the
ferromagnetic semiconductor GaMnN. Room temperature hysteresis is obtained in
magnetization measurements, with an optimum Mn concentration of ~3 at.%.
INTRODUCTION
Currently,
a large research effort is directed towards the creation of “spintronic”
materials and devices that utilize the quantum properties of the electron spin
wavefunction for sensing and switching applications.(1-6) However, the approach of directly mating
electronic materials (semiconductors) with spin materials (ferromagnetic
metals) leads to interfacial problems due to the dissimilar nature of the
materials’ crystal structure, bonding, physical and chemical properties.(7) Another solution is the use of dilute
magnetic semiconductors (DMS), which consist of semiconductor hosts heavily
doped with substitutional magnetic ions.
A DMS material could permit direct integration with current
semiconductor devices.
Several
theories have been presented on the nature of DMS-related ferromagnetism.(8,9) In one theory based on the bound magnetic
polaron (BMP) model, Curie temperatures (TC) have been calculated
for 2.5 at % Mn in various III-V and II-VI semiconductors. In this calculation, a concentration of free
holes equal to 3.5x1020/cm3 has been assumed.(9) To date, the best experimental TC
values for InMnAs, GaMnSb, and GaMnAs are in reasonable agreement with theory,
but are still well below room temperature.(10-12) The p-type III-V DMS material GaMnN is
predicted to have a TC well above room temperature.(9) GaMnN has been produced in powder and
crystallite form, but to this point its application has been limited.(13,14) In addition, ferromagnetism has been
demonstrated in Mn-implanted p-GaN epitaxial layers(15) ,
Mn-diffused GaN (16,17) and in GaN grown by Molecular Beam Epitaxy(18-22).
In the epitaxy of the
III-Mn-As and III-Mn-Sb, reduced growth temperatures were used to incorporate
the necessary 2.5 at % of Mn and to avoid the formation of MnAs or MnSb
precipitates.(10-12) For
example, epitaxial GaAs is normally grown at 600 °C, while the GaMnAs was grown
at 250 °C. For the epitaxial growth of
GaMnN, the growth temperature cannot be dropped to such an extent. Amorphous GaN will begin to form if Tgrowth
is less than approximately 600 °C.
However, the relatively high vapor pressure of Mn at normal GaN growth
temperatures (Tgrowth = 1000 °C) may make an incorporation of 2.5 at
% Mn difficult to achieve. This is
believed to be the limiting factor in producing GaMnN. In this paper, we demonstrate the thin film
growth of ferromagnetic GaMnN, with emphasis placed on the conditions necessary
to incorporate the large fraction of Mn while avoiding the formation of second
phases within the material.
During
the initial investigation of GaMnN on sapphire, the GaN layer was grown for 40
minutes at a temperature of 750 °C, while the GaMnN layer was grown for 20
minutes, also at 750 °C. The growth
rate of GaN under the conditions used was approximately 69 Å/min. Room temperature Hall effect measurements
indicate that the GaN is n-type with an electron concentration of 4 X 1019/cm3. The high level of donors is believed to be
due to a large concentration of N vacancies, although the possibility of excess
donors due to the presence of O cannot be discounted. However, SIMS analysis on other samples grown in this chamber
have shown O levels much lower than 1019/cm3.
For
the GaMnN growth, after the 40 minutes of GaN growth, the shutter for the 4N Mn
K-cell was opened. No other system
parameters were changed. A series of
samples was grown using Mn cell temperatures that varied between set points of
675 °C and 937 °C, which corresponds to a change in the Mn vapor pressure of
three orders of magnitude. After
growth, the Mn level was evaluated using Auger electron spectroscopy
(AES). For the range of cell
temperatures used, the AES analysis showed the Mn incorporation to be linear
with Mn cell temperature for Mn concentrations in the range of ~1.1 at % to 43.1
at %, as shown in Figure 1a. The high
concentrations that could be achieved suggest that in spite of the high vapor
pressure, the Mn sticking coefficient is adequate even at elevated GaN growth
temperatures. The [Mn] vs. 1/TMn
behavior was fit with an Arrhenius-type curve (shown in Figure 1a), and an
activation energy for Mn incorporation was determined to be 1.53 eV. This compares to an activation energy of
2.57 eV from the [Mn] vs. 1/TMn vapor pressure curve. The lower activation energy would indicate
easy incorporation of Mn into the epitaxially growing GaN. The growth rate of the GaMnN is plotted as a
function of 1/TMn in Figure 1b.
For the lower Mn fluxes, Figure 1b indicates a slight drop in the growth
rate. This can possibly be due to the
Mn slightly lowering the Ga sticking coefficient in this range of
concentrations. However, as the Mn flux
is increased, the GaMnN growth rate increases dramatically. This is most likely due to the Mn flux at
this temperature becoming comparable to the Ga flux, producing a MnxGay
alloy rather than GaMnN. This is
supported by electrical measurements of the material carrier
concentration. As
the Mn concentration was increased in the single-phase GaN semiconductor, the
GaMnN became increasingly resistive.
This is in keeping with the expectation of a deep Mn acceptor (as in
GaMnAs) that would serve to compensate the shallow nitrogen vacancy donor. At the very high Mn concentrations, Mn » 47 at %, the
films become conductive, presumably due to formation of the MnGa phases. MnGa is a metallic ferromagnet.
The
GaMnN material from this first series of growth experiments was investigated
using x-ray diffraction to determine the presence of second phases within the
material. Specifically, it was desired
to know at what Mn level, as determined by AES, would second phases begin to
appear. For the successful growth of
GaMnN at a temperature of 750 °C, the Mn level must therefore be kept below
this level. Magnetic measurements of
GaMnN with higher concentrations of Mn would tend to measure this second phase,
and not the DMS. As with the arsenides
and the antimonides, the different Mn-N phases possess some magnetism. A powder x-ray diffraction scan of GaMnN
with TMn = 747 °C is given in Figure 2a. As can be seen from the figure, the only peaks that appear in the
data are the GaN Ka (002) (34.6°), the GaN Ka (004) (72.8°), the sapphire
Ka (006) (42.0°), the sapphire
Ka (0012) (90.8°), and the
sapphire Kb (0012) (80.1°). The remaining weak Kb peaks are lost in the noise
of the measurement. This TMn
corresponds to a Mn level of 8.8 at % as determined by AES. Further increasing the TMn to 887
°C produced the diffraction pattern given in Figure 2b. This produces a Mn level of 43.1 at % as
determined by AES. In addition to the
GaN and sapphire peaks due to the underlying material, peaks of the tetragonal
Mn0.6Ga0.4 phase become clearly visible. Obviously the solubility limit for Mn in GaN
was exceeded and metal rich phases have been formed. This data also serves to verify what was implied from the growth rate
and electrical data. RHEED analysis
also showed evidence of a 3D or a polycrystalline structure. However, when GaMnN films with Mn
concentrations less than 9 at % were examined, no evidence of any other
Mn-containing phase could be found other than GaMnN. Table I shows a compilation of potential second phases that could
form in transition metal doped GaN (and other III-V semiconductors) and also
their magnetic properties.
Effect of Substrate Type and C Doping on GaMnN
Magnetic Properties
It
was determined from Figure 1a that a TMn of 724 °C should be used to
produce a Mn level of approximately 5 at % within the GaMnN. Subsequent experiments were carried out
using this Mn flux to try to produce material showing DMS-induced
ferromagnetism. In addition, the effect
of GaMnN film crystallinity and the effect of carrier concentration on the
resulting magnetism were also investigated.
For
this portion of the research, (0001) Al2O3 and the MOCVD
derived GaN would be used as the starting substrate materials. In order to directly compare the results of
using more than one type of substrate, and to remove the possibility of the MBE
parameters drifting over the course of multiple growth runs, GaMnN was grown on
both substrates simultaneously. The
MOCVD GaN was n-type to 1018/cm3, doped with Si
donors. The Root Mean Square (RMS)
roughness of this surface is approximately 2.2 Å, as determined by Atomic Force
Microscopy (AFM). Therefore, any GaMnN
grown on top of this surface should be of high crystal quality. Because of the exposed GaN surface, no
surface nitridation step or AlN buffer growth was performed prior to the growth
of the GaMnN. Due to the GaMnN then
being directly grown on the sapphire surface, the approximate 14 % mismatch was
assumed to produce a highly polycrystalline film. Again, the films were grown at a temperature of 750 °C with TGa
= 955 °C and TMn = 724 °C, with the same N2 plasma
conditions, for 90 minutes. In the
first case the material was grown without adding C. A second identical experiment was performed, this time adding C
from a CBr4 bubbler source.
The CBr4 was operated with a He carrier gas flow of 6.8 sccm
and a pressure of 68 torr, while the bubbler recirculating bath was held at a
temperature of 0.0 °C. This CBr4
operating parameter has been previously calibrated by SIMS to produce a C
concentration of 1020/cm3 within the GaN. Before the growth was started, the
substrates were held at 750 °C for 10 minutes under no nitrogen plasma. This was done as an in-situ clean to remove
any oxide from the MOCVD GaN surface.
The GaN surface went from a polycrystalline/amorphous RHEED pattern to
the streaky 2D RHEED pattern. This
assures a high-quality starting surface for growth. Chemical analysis of the material by AES indicates a level of 6.1
at % Mn in the GaMnN sample and 4.5 at % Mn in the GaMnN:C sample. Hall effect measurements on the finished
material showed the GaMnN to be highly resistive, while the GaMnN:C was
conductive to n » 5 X 1018/cm3. However, the addition of C typically
produces highly resistive material. The
fact that n-type GaMnN was observed suggests that the C is behaving as an
amphoteric dopant in this material (in the presence of the Mn). The addition of C to GaN has been shown to
produce p-type material.(23,24)
An understanding of why the presence of C produces n-type material in
the presence of Mn can be found in Figure 3, which shows carrier concentration
versus the difference in the III-C and V-C bond energies in a variety of
semiconductors. From the Figure, it can
be seen that the III-C bond energy is lowered in GaMnN compared to GaN due to
the relative weakness of the Mn-C bond (EMn-C < EGa-C). This will allow it to be energetically
favorable for the C to be substitutional on the Ga sublattice, enabling the C
to serve as an electron donor.
From
x-ray diffraction measurements of the GaMnN and GaMnN:C grown on both sapphire
and MOCVD GaN, all of the peaks present in the scans can be attributed to the Ka and Kb peaks of GaN or
sapphire. No second phases are present
in the material. While no second phases
were visible within the material, it becomes important to ascertain what MnxNy
phase will appear within the epitaxially grown GaMnN films. In the GaMnN powder material, it was found
that Mn3N2 was the stable phase at the pressures and
temperatures used for growth.(13,14) A MnxNy x-ray standard was grown at 750 °C
using the 350 W/3 sccm N2 plasma condition used to date for
growth. In order to assure a sufficient
flux of Mn, TMn was 887 °C for this sample growth run. Subsequent x-ray diffraction of this sample
is given in Figure 4. Analysis
indicates that the thermodynamically stable MnxNy phase
at this growth temperature is Mn4N.(25) The Ka and Kb peaks can be identified
within this sample to be from the (111) and (222) planes of Mn4N. X-ray diffraction of the GaMnN has never
indicated the presence of these peaks within the limit of detection of this
measurement.
GaMnN and GaMnN:C Magnetic Properties
Magnetically,
higher carrier concentrations appear to be beneficial, as is prescribed by the
bound magnetic polaron theory.(9)
The highly resistive films, despite 6.1 at % Mn, only show paramagnetic
behavior. In the films with n = 5 X 1018/cm3,
clear hysteresis in M versus H was observed at a temperature of 10 K,
indicative of a ferromagnetic material.
This suggests that the Mn-Mn exchange is indeed mediated by charge
carriers. The effect of crystal quality
on the ferromagnetism of the single-phase films is also apparent. The GaMnN:C film grown directly on sapphire,
due to the lack of a buffer and the 14 % mismatch, is assumed to be
polycrystalline. This film has a
measured saturation magnetization of approximately 0.3 emu/cm3. The same material grown on the MOCVD GaN
buffer has a measured saturation magnetization of approximately 2.4 emu/cm3. This suggests that crystallinity plays a
significant role in the magnetization since the MOCVD GaN is expected to
produce superior growth. This is also
evident in the moment of the grown films, ~0.008 Bohr magnetons per Mn for the
material on sapphire versus ~0.28 Bohr magnetons per Mn for the material on
GaN. This suggests also that a more
ordered film leads to enhanced incorporation of Mn ions onto the Ga sublattice. Finally, the polycrystalline versus single
crystal nature of the films manifests itself in the values of the coercive
field for the two GaMnN:C films. The
polycrystalline sample has a higher coercivity (~200 Oe) compared to the single
crystal sample (~30 Oe). The higher
coercive field suggests that the polycrystalline material is broken up into
randomly oriented domains of local ferromagnetic order, compared to the single
crystal film, where the carrier mediated exchange can exist over larger
distances without being interrupted by grain boundaries. This allows an enhanced collective
ferromagnetism, resulting in a lower coercive field. For the polycrystalline sample, the application of a field must
align the individual grains, producing more of a magnetic history when the
field is reversed.
Gallium Manganese Nitride Growth at Elevated
Temperature
From
the previous section, the presence of C impurities and their related effect on
the carrier concentration of the GaMnN indicates the importance of the carrier
concentration on the DMS ferromagnetism.
However, the influence of C in the possible formation of a Mn-C complex
and any possible related effect on the observed magnetic properties leads to
the need to deconvolute C from the GaMnN material. To this end, the GaMnN was grown at an elevated temperature
compared to that used in the earlier studies of the GaMnN system. Normally, as-grown GaN is n-type due to the
formation of group V (nitrogen) vacancies during epitaxy and also due to oxygen
if present in the film. With an
elevated growth temperature, this effect will be enhanced, as more of the
atomic nitrogen will tend to desorb from the GaMnN surface.
The
GaN and GaMnN layers were grown at a substrate temperature of 700,750 or 925
°C, with a K-cell temperature of 620 °C, Ga cell temperature of
865 °C and a GaMnN layer growth rate of 700-1000
Å/sec. The maximum Mn concentration for
retaining single phase material increased with decreasing growth temperature-at
700°C the maximum Mn concentration was ~9 at.%,
while at 925°C it was about 3 at.%.
Figure 5 shows the
resistivity of the GaMnN and GaN films grown under similar conditions, as a
function of growth temperature. The
resistivity decreases with increasing TG in both cases. All films were n-type. Smoother films were obtained at higher Tgrowth,
with the smoothest films being the ones grown on MOCVD GaN buffers (Figure 6).
Figure 7 shows the effect of
Mn K-cell temperature on GaMnN resistivity and root-mean-square (RMS)
roughness. The film roughness increases
with increasing Mn flux and at 630°C Ga-Mn phases were
detected. The resistivity decreased at
high Mn fluxes.
Figure 8 shows the effect of
the buffer on the crystallinity of the GaMnN film. Clearly, the use of the MOCVD GaN buffer produces better
crystallinity in the overlying GaMnN.
Using the optimum growth conditions of TG =700°C and Mn cell temperature of ~3at.5, no
second phases were observed in either high resolution transmission electron
microscopy (TEM) or selected area diffraction patterns (SADP), as shown in
Figure 9.
Figure
10 shows the result of single axis w-2q rocking curve analysis on films grown on
both sapphire substrates and MOCVD GaN buffer layers. As with the q-2q x-ray diffraction and the results from TEM,
the w-2q scans do not indicate the
presence of second phases within either of the two films. In Figure 10a, the peak at approximately
34.55° corresponds to the (002) reflections from the GaN and GaMnN layers,
while the peak at 41.67° corresponds to the (006) reflection of sapphire. The small peak at 35.89° is due to the (002)
reflection of the AlN buffer layer.
Figure 10b again confirms the q-2q result for the MOCVD sample, prominently
showing only the (002) peak from the GaN and GaMnN layers, as well as the (006)
peak from the substrate. Due to the
large FWHM of the underlying thick (3 µm) MOCVD GaN layer (also seen in
as-received GaN), features in 2q due to the GaMnN (002) peak
are obscured. The placement of an
analyzer crystal in the reflected beam would be required to possibly
deconvolute the GaN peak from the GaMnN peak.
The absence of an easily discernible knee on either side of the (002)
GaN peak in Figure 10a as well indicates a low degree of Mn substitution into
the Ga sublattice for this film, despite its observed magnetic properties at
low temperatures (see next section).
This is confirmed by the calculated moment per Mn ion, which is found to
be approximately 0.3 µB per Mn, far less than the 5 µB
per Mn one would expect for 100% Mn substitution.
Electrical and Magnetic Properties
Magnetotransport
properties of the GaMnN material were investigated in the temperature range
between 10 K and 300 K for magnetic field sweeps between –7 T and +7 T. The Hall (transverse) and sheet
(longitudinal) resistances were measured after applying In ohmic contacts to
the GaMnN. An AC impedence bridge was used in these measurements to maximize
the signal to background noise ratio.
The electron carrier density at 300 K was found to be 2.4 X 1019/cm3,
while the carrier density at 10 K was found to decrease slightly to 1.3 X 1019/cm3. The high carrier density at 300 K indicates
that the high growth temperature was effective in increasing the number of free
electrons via an excess in nitrogen vacancies, despite the presence of the high
concentration of Mn. The sheet resistance
showed clear negative magnetoresistance (11% at 10K) as shown in Figure
11. The anomalous Hall effect was
observed up to ~20K, which was limited by instrumental resolution. The Hall resistance data was found to be
linear from 25 K to 300 K, and is consistent with the absence of magnetic
moments due to the thermodynamically stable ferrimagnetic Mn4N
phase, which is reported to have a TCurie as high as 745 K.(26)
Figure 12 shows
magnetization data obtained from SQUID measurements on films grown at 700°C with different Mn concentrations. There is clear evidence for the presence of
magnetization at room temperature, while a Mn concentration of ~3 at.% appears
to be optimum at this growth temperature.
We
have found that MBE growth of GaN with a high concentration of Mn results in
the formation of the ferromagnetic phase GaMnN. The Mn has been found to incorporate linearly with increasing Mn
cell temperature for Mn concentrations up to 43 at %. No second phases were found in the GaMnN for Mn concentrations
below 9 at %. Both negative
magnetoresistance and anomalous Hall effect were observed. The lack of any detected second phases by
x-ray diffraction analysis within the GaMnN material in combination with the
observed 2D/3D RHEED pattern of the final epitaxial surface indicates that the
ferrimagnetic thermodynamically stable Mn4N phase is not forming
within the film. Therefore, we infer
that the observed ferromagnetism within the material is due to the formation of
GaMnN. This result is significant on
several levels. First, ferromagnetism
within epitaxial GaMnN is reported.
Second, the exchange interaction producing the ferromagnetism in this case
is being mediated by electrons and not holes.
Although this is possible according to the current theories on DMS
ferromagnetism(9), the predicted TC’s are generally
fractions of a degree K. This raises
the possibility of further increasing the TC within the GaMnN
material by refining the growth procedure, while not relying on the presence of
holes, which is a problematic issue in III-nitride development.
The
authors would like to thank E. Lambers at the MAIC facility for his assistance
with the Auger electron spectroscopy analysis.
Support for this work was provided by the U.S. Army Research Office
under grant no. ARO- DAAG55-98-1-0216 and by the National Science Foundation
under grant nos. DMR-9705224 and DMR-0101438. The work at
SNU is partially supported by KOSEF and Samsung Electronics Endowment through
CSCMR.
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Table I:
Compilation of potential second phases in transition metal doped wide
bandgap semiconductors with known magnetic properties.
|
Phase |
Nature
of Magnetism |
Applicable
Magnetic Temperature (K) |
|
Co |
Ferromagnetic |
1382 |
|
Cr |
Antiferromagnetic |
311 |
|
Fe |
Ferromagnetic |
1040 |
|
Ni |
Ferromagnetic |
627 |
|
Mn |
Antiferromagnetic |
100 |
|
Fe3Ga4 |
Ferromagnetic |
483
or 697 |
|
Fe2Ga |
Ferromagnetic |
620 |
|
Fe3Ga |
Ferromagnetic |
760 |
|
Fe-Ga
alloys |
Ferromagnetic |
|
|
Fe4N |
Ferromagnetic |
760 |
|
FeP |
Ferromagnetic |
215 |
|
Fe2P |
Ferromagnetic |
278 |
|
Fe3P |
Ferromagnetic |
716 |
|
FeP2 |
Antiferromagnetic |
250 |
|
Mn2Ga |
Ferromagnetic |
690 |
|
e-Mn3Ga |
Ferromagnetic |
743 |
|
V-Mn5Ga8
(Mn0.6Ga0.4) |
Ferromagnetic |
210 |
|
MnGa |
Ferromagnetic |
>
300 |
|
Mn4N |
Ferromagnetic |
745 |
|
MnP |
Ferromagnetic |
291 |
|
MnP |
Antiferromagnetic |
50 |
|
Mn3P |
Antiferromagnetic |
115 |
|
Mn2P |
Antiferromagnetic |
103 |
|
CrN |
Antiferromagnetic |
273 |
|
Cr2N |
Ferromagnetic
(?) |
Not
Ferromagnetic between 85 K and 500 K |
|
Ni3P |
Pauli
paramagnetic |
|
|
Ni2P |
Pauli
paramagnetic |
|
|
NiP2 |
Exhibits
magnetism |
|
|
Amorphous
Ni-P alloys |
Weak
homogenous ferromagnetism |
|
|
CoP2 |
Diamagnetic
semiconductor |
|
|
CoP |
Weak
ferromagnetic |
<<
1382 |
|
V3Ga |
Superconductor |
Tcritical
= 16.8 K |
FIGURE
CAPTIONS
Figure 1: Variation of Mn concentration (a) and growth rate (b) in GaMnN grown at 750 °C as a function of reciprocal Mn K-cell temperature.
Figure 2: X-ray diffraction of GaMnN with the Mn K-cell at a temperature of (a) 747 °C and (b) 887 °C
Figure 3: Maximum reported carrier concentration versus difference in III-C and V-C bond energy for a variety of compound semiconductors.
Figure 4: X-ray diffraction scan of sample grown at 750 °C with only N plasma and Mn shutters open, identifying the Mn4N phase. The Mn cell temperature was 887 °C.
Figure 5: Resistivity of GaMnN and GaN as a function of TG.
Figure 6:
RMS roughness (in Å) of GaMnN as a function of TG.
Figure 7:
Resistivity and RMS roughness versus K-cell temperature for a TG
of 700°C.
Figure 8: RHEED patterns from GaMnN films grown on
sapphire (top) or MOCVD GaN buffers on sapphire (bottom). The Tgrowth was 700°C, TMn
was 620°C and TGa in both cases.
Figure 9: High resolution TEM (top) and SADP (bottom) of 3 at.% Mn GaMnN grown at 700°C.
Figure 10: Single axis w-2q rocking curves for GaMnN grown at elevated temperatures on sapphire (a) and MOCVD GaN buffers (b).
Figure 11: Magnetotransport data from GaMnN grown at TG =925°C on an MOCVD GaN buffer.
Figure 12: M-T (top) and M-H (bottom) from GaMnN films grown at 700°C.The M-T plot is from a sample with ~3 at.% Mn.













