Thibaut Devillers1, Li Tian2, Rajdeep Adhikari1, Giulia Capuzzo1, Alberta Bonanni1. 1. Institut für Halbleiter-und-Festkörperphysik, Johannes Kepler University , Altenbergerstr. 69, A-4040 Linz, Austria. 2. Institute of Physics PAS SL 1.4, al. Lotnikow 32/46, 02-668 Warsaw, Poland.
Abstract
The structural analysis of GaN and Al x Ga1-x N/GaN heterostructures grown by metalorganic vapor phase epitaxy in the presence of Mn reveals how Mn affects the growth process and in particular, the incorporation of Al, the morphology of the surface, and the plastic relaxation of Al x Ga1-x N on GaN. Moreover, the doping with Mn promotes the formation of layered Al x Ga1-x N/GaN superlattice-like heterostructures, which opens wide perspectives for controlling the segregation of ternary alloys during the crystal growth and for fostering the self-assembling of functional layered structures.
The structural analysis of GaN and Al x Ga1-x N/GaN heterostructures grown by metalorganic vapor phase epitaxy in the presence of Mn reveals how Mn affects the growth process and in particular, the incorporation of Al, the morphology of the surface, and the plastic relaxation of Al x Ga1-x N on GaN. Moreover, the doping with Mn promotes the formation of layered Al x Ga1-x N/GaN superlattice-like heterostructures, which opens wide perspectives for controlling the segregation of ternary alloys during the crystal growth and for fostering the self-assembling of functional layered structures.
Nitride heterostructures[1] are the building
blocks of many state-of-the-art devices like power transistors,[2] high-electron-mobility transistors,[3] blue and white light-emitting diodes (LED),[4] ultraviolet laser diodes,[5] and blue lasers.[6] To produce a heterostructure
whose band structure responds to the actual need, various combinations
of nitride compounds with different band gaps and lattice parameters
are epitaxially stacked to generate, for example, quantum wells,[7] superlattices, barriers,[8] or distributed Bragg reflector.[9] In any
of these structures, the quality and continuity of the crystal is
essential for the performance of the device. However, as expected
during the epitaxial growth of lattice mismatched semiconductors,
active layers of AlGa1–N or InGa1–N[10] deposited on GaN as
requested by the architecture of most devices will tend to crack in
order to relax the elastic strain accumulated by fitting the in-plane
lattice parameter of the overlayer to the one of the layer underneath.
Growing above the critical thickness is a challenging way to design
high-performance devices with, for example, enhanced internal fields[11,12] and piezoelectric polarization.[13] In
this perspective, the properties of the sample surface may be affected
through the use of a surfactant.[14] The
efficiency of this approach was already demonstrated in the case of
Te for the growth of InAs on GaAs,[15] and
As or Sb for Ge on Si.[16] Specifically,
in the nitride technology, In,[17−20] As,[21] Ga,[22] and Sb[23,24] were reported to have a beneficial
effect on the growth of GaN as well as on the fabrication of AlN/GaN
heterostructures.Here, we report on the role of Mn in the crystal
growth of GaN:Mn
and AlGa1–N:Mn on GaN by metalorganic vapor phase epitaxy (MOVPE). In
particular, we investigate how Mn affects both the morphology of the
surface and the bulk crystal structure.
Experimental
Section
The studied samples are grown by MOVPE, in an AIXTRON
200RF horizontal
reactor, according to a procedure described elsewhere.[25] A 1 μm GaN
buffer layer is deposited epitaxially at 1040 °C on sapphire c-plane after the growth of a low-temperature nucleation
layer. The layers studied in this work are then deposited at a temperature
of 850 °C on the GaN buffer. This
unusually low growth temperature is of technical significance for
several reasons. High growth temperatures (∼1000 °C) on
one hand promote the crystalline quality, but on the other favor the
propagation of threading dislocations through the epitaxial films.
Lower growth temperature, as employed in this work for the growth
of (AlGa)N, hinders the propagation of the dislocations.[26] Furthermore, the difference in thermal expansion
coefficient between overlayer and substrates may highly strain the
layers during the cooling and induce cracking of the epitaxial structure.
Thermal stress can be reduced significantly by using low growth temperatures.
Finally, the integration of nitride technology in devices may require
lower growth temperature to avoid the potentially detrimental diffusion
of species during processing. The precursors employed for Ga, N, Al,
and Mn are trimethylgallium (TMGa), ammonia (NH3), trimethylaluminum
(TMAl), and bis-methylcyclopentadienyl-manganese (MeCp2Mn), respectively. The flow of TMGa and NH3 are fixed
at 4 μmol/min (1 sccm at 0 °C and 1000 mbar) and 7000 μmol/min,
respectively. The flow of MeCp2Mn is roughly estimated
to be in the order of 1 μmol/min (490 sccm at 22 °C and
1000 mbar). The flow of TMAl is varied between 0.4 and 31 μmol/min.
The growth is carried out under H2 atmosphere at a pressure
of 100 mbar for the AlGa1–N (AlGa1–N:Mn) layers and 200 mbar for the GaN (GaN:Mn). The
relevant characteristics of the samples studied here are summarized
in Table 1. The thickness of the layers is
controlled in situ during the growth process by kinetic ellipsometry
and ex situ with spectroscopic ellipsometry, secondary ion mass spectroscopy
(SIMS), and X-ray reflectivity. The Al concentration is calculated
from the position of the (0002) and (1̅015) diffraction peaks
of AlGa1–N.
Table 1
Samples Investigated and Their Relevant
Parameters
sample
buffer
layer
thickness (nm)
Al concentration
(%)
growth temperature (°C)
growth pressure (mbar)
#A
GaN
GaN
500
0
850
200
#B
GaN
GaN:Mn
500
0
850
200
#C
GaN
AlGaN
15
75
850
100
#D
GaN
AlGaN:Mn
15
75
850
100
#E
GaN
AlGaN
1000
12
850
100
#F
GaN
AlGaN:Mn
1000
12
850
100
Information on the
morphology of the surface is obtained from atomic
force microscopy (AFM) in tapping mode with a Nanosurf MobileS and
with a VEECO Dimension 3100. X-ray diffraction (XRD) and reflectivity
are performed on a PANalytical’s X’Pert PRO Materials
Research Diffractometer (MRD) equipped with a hybrid monochromator
with a 1/4° divergence slit. The diffracted beam is measured
with a solid-state PixCel detector used as 256-channel detector with
a 11.9 mm antiscatter slit. Transmission electron microscopy (TEM)
in both conventional (CTEM) and scanning mode (STEM) is performed
in a FEI Titan Cube 80–300 operating at 300 keV and in a JEOL
2010F working at 200 keV. Bright/dark-field (BF/DF), high-resolution
TEM (HRTEM), and high-angle annular dark field (HAADF) are employed
to analyze the structure of the sample. Chemical mapping is performed
with energy filtered TEM (EFTEM) around the Al K absorption
edge. Cross-section TEM specimens are prepared by mechanical polishing,
dimpling, and final ion milling in a Gatan Precision Ion Polishing
System.
Results and Discussion
The effect of Mn on the surface
morphology of GaN and AlGa1–N is studied
by AFM by directly contrasting GaN, Al0.75Ga0.25N and Al0.12Ga0.88N grown in the absence of
Mn (samples #A, #C, and #E) with samples grown under the same conditions
but deposited in the presence of Mn (samples #B, #D, and #F), as reported
in Figure 1. The compared samples have the
same nominal and actual thickness and differ only in the presence
of Mn during the growth process.
Figure 1
Atomic force micrographs
for: (a ,c, e) GaN and AlGa1–N in the
absence of Mn; (b, d, f) GaN:Mn and AlGa1–N:Mn.
As evidenced in Figure 1, panels (a) and
(b), the addition of Mn during the growth of GaN at TG = 850 °C affects the morphology of the surface
by inducing the formation of large domes. This effect resembles the
one observed by Zhang et al.[24] during the
growth of GaN in the presence of antimony (Sb), where Sb was found
to act as a surfactant during the growth, promoting the mobility of
Ga atoms on the surface, and thus lateral growth. In our case, the
fact that Mn plays the role of a surfactant is coherent with its low
probability of incorporation into the crystal. Despite the relatively
high flow rate of the MeCp2Mn precursor during the epitaxial
process (20% of the III metal precursor flow), the Mn content in the
layers remains in the order of 1% cations as established through SIMS
measurements, which show that a large part of the Mn is not incorporated
in the layer and is either desorbed or accumulated at the surface.
The dramatic effect that we do observe on the growth and particularly
at the surface rather suggests that an important part of the Mn atoms
accumulates at the growth front and influences the dynamics of epitaxy.
In addition to the presence of domes in the samples grown in the presence
of Mn, there is no hint of linear (cracks) or punctual (pits) discontinuities
of the layers, and one can still distinguish in higher resolution
images (not shown) the atomic terrace edges characteristic of a step-flow
growth mode. Furthermore, despite the waviness of the surface and
since it was already demonstrated in the case of Mn-doped GaN (ref (25)), the Mn does not affect
the single-crystalline character of the layers since it also does
not significantly affect the dislocation density in the films compared
to the GaN buffer layer. In Figure 1, panels
(c) and (d), the effect of Mn on the growth of 15 nm thin Al0.75Ga0.25N layers is evidenced. In the Mn-free layer, the
expected morphology of AlGa1–N close to relaxation[27] can be appreciated: shallow fractures–precursors of the cracks
observed for relaxed thicker layers–are detected. Both samples
are grown under the same conditions, which resulted in the same thickness
(as determined from the fitting of X-ray reflectivity) and same Al
content (as obtained from the position of the (1̅015) asymmetric
peak and from fitting the X-ray reflectivity). The layer grown in
the presence of Mn, even if the thickness and the Al concentration
are kept constant, exhibits a surface free of nanofractures, which
points to the fact that Mn delays the relaxation of the lattice like
Sb in the case of Ge grown on Si,[16] or
Te in InAs on GaAs.[15]Atomic force micrographs
for: (a ,c, e) GaN and AlGa1–N in the
absence of Mn; (b, d, f) GaN:Mn and AlGa1–N:Mn.For a closer analysis of the role of Mn in the relaxation
of AlGa1–N
on GaN, two layers of Al0.12Ga0.88N, with and
without Mn respectively, and with a thickness of 1 μm, that
is, theoretically above the critical thickness,[28] are compared. The Al0.12Ga0.88N layer
grown without Mn and shown in Figure 1, panel
e presents surface grooves oriented at either 60° or 120°
one with respect to the other. These cracks are characteristic of
the heteroepitaxy of AlGa1–N on GaN above the critical thickness and can already
be observed in a sample twice thinner and grown under the same conditions
(not shown). In contrast, in the presence of Mn (sample #F), the domes
already seen in GaN:Mn are detected, but there is no evidence of cracks
in the field of view, as shown in Figure 1,
panel (f). The incorporation of Mn in the AlGa1–N layers also seems
to have a beneficial effect on the defect density of AlGa1–N grown at
850 °C since the presence of Mn induces the annihilation of the
yellow luminescence, which is characteristic of deep acceptors defects
in nitrides semiconductors (not shown here). Optical microscopy in
reflection mode also reveals the presence of cracks in the Mn-free
sample, while a whole 2 inches wafer grown in the presence of Mn is
completely crack-free, which points to an AlGa1–N layer perfectly strained
with the GaN buffer.This result is confirmed by XRD experiments.
Reciprocal space maps
have been measured around the (1̅015) reflection of GaN and
AlGa1–N and are reported in Figure 2 for samples
#E and #F. The shape and position of this peak appear to be different
for the two samples: the center of the peak is shifted toward lower
in-plane lattice parameters in the case of the Mn-free sample. Here,
the average lattice parameter of the layer does not fit the one of
GaN, which indicates a plastic relaxation of the crystal lattice.
In fact, the peak is neither aligned with the dashed line, which corresponds
to a fully relaxed layer, nor with the one corresponding to a fully
strained state, which points to an intermediate strain state. Furthermore,
the peak is particularly broad and actually spreads over the whole
range between strained and relaxed state. In comparison, in the presence
of Mn, the (1̅015) reflection of AlGaN is very narrow in Q and vertically aligned with
the (1̅015) of GaN, which confirms the strained state of the
layer already evidenced by surface microscopy. The Al concentration
is comparable in the two samples; the peak of the layer containing
Mn and not relaxed is shifted toward higher values of Q due to the limited compressibility
of the material. In addition, this peak exhibits an unexpected broadening
along the Q direction,
which suggests the presence of AlGa1–N with different Al concentrations.
To quantify the Al content in the films from the position of the (1̅015)
peak, we assume a linear variation of the out-of-plane lattice parameter
with the Al content in the whole range of concentrations from GaN
to AlN (Vegard’s law). In the completely relaxed case, the
Al concentration is given by xAl = ((cAlGaN – cGaN)/(cAlN – cGaN)). In the perfectly strained case, it is necessary to add
a prefactor to take into account the elongation of the lattice along
the c direction when the crystal is elongated along
the a-axis. The Al concentration is then obtained
through xAl = ((1 – ν)/(1
+ ν)(cAlGaN – cGaN)/(cAlN – cGaN)), where ν is the Poisson coefficient
(0.19 and 0.21 for GaN and AlN respectively[1]). The calculated Al concentration is thus in the considered sample
(12 ± 1)% for the partially relaxed Mn-free layer (sample #E).
For the Mn-containing layer (sample #F), the two main peaks related
to AlGa1–N correspond to Al contents of 12.8% and 14.3%, respectively.
Figure 2
Reciprocal
space maps around GaN and AlGa1–N(1̅015) for: (a) sample
#E and (b) sample #F. The intensity is reported in logarithmic scale.
A vertical dashed line along the GaN (1̅01l) and an oblique dashed line joining experimental GaN and AlN (1̅015)
are drawn as guides to the eye. The isoconcentration lines are indicated
as continuous lines between the strained and relaxed states.
Reciprocal
space maps around GaN and AlGa1–N(1̅015) for: (a) sample
#E and (b) sample #F. The intensity is reported in logarithmic scale.
A vertical dashed line along the GaN (1̅01l) and an oblique dashed line joining experimentalGaN and AlN (1̅015)
are drawn as guides to the eye. The isoconcentration lines are indicated
as continuous lines between the strained and relaxed states.To shed light on the origin of
the different Al concentrations
detected by XRD in the films doped with Mn, the nature of the Al inhomogeneity
and the role of Mn on the Al segregation have been investigated with
HRTEM. In Figure 3, panel (a), a low magnification
transmission electron micrograph of the Al0.12Ga0.88N:Mn layer reveals along the c-axis the presence
of a quasi-periodic structure, which is not observed in the Mn-free
samples. An analysis of over 40 sublayers gives an average thickness
of 2.9 nm with a standard deviation of 0.73 nm. No significant difference
in the thickness of darker and brighter layers could be found. Both
in TEM and in XRD, the nonperfect periodicity of the superlattice
does not allow to resolve the satellite peaks characteristic of a
superlattice. To discriminate between the contrast due to diffraction
effects from the one induced by composition contrast, the same layer
has been measured in HAADF in STEM mode. Within this imaging technique,
electron diffusion measured at a high angle is decisively dependent
on the mass of the diffusing elements. The contrast observed can therefore
be directly correlated with a mass contrast, the Al-rich areas being
darker than the Ga-rich ones. The HAADF measurements are reported
in Figure 3, panels (b) and (c) and show a
similar patterning as in Figure 3, panel (a).
This suggests that the contrast observed in conventional TEM is induced
by a modulation in the Al concentration. This result is also confirmed
by the energy filtered image displayed in Figure 3, panel (d). This image has been acquired in EFTEM around
the Al K-edge, and the bright areas correspond to
Al-rich regions. This element-specific technique confirms that the
mass contrast observed in HAADF originates indeed from Al segregation
and not only from a variation of the density of the material, which
could be eventually induced by the presence of defects.
Figure 3
TEM of the
AlGa1–N:Mn layer of sample #F in cross-section measured
along the [112̅0] zone axis: (a) low magnification conventional
TEM; (b) low magnification HAADF; (c) high resolution HAADF; (d) Al
chemical map from energy filtered TEM measured at Al K-edge; in all panels, the (0001) direction is indicated by an arrow.
TEM of the
AlGa1–N:Mn layer of sample #F in cross-section measured
along the [112̅0] zone axis: (a) low magnification conventional
TEM; (b) low magnification HAADF; (c) high resolution HAADF; (d) Al
chemical map from energy filtered TEM measured at Al K-edge; in all panels, the (0001) direction is indicated by an arrow.A similar self-structuring of
ternary alloys in superlattice-like
heterostructures was already reported for the growth of AlGa1–N on GaN
(refs (29), (30)) and AlN (refs (31)−[34]). Particularly
remarkable here is not the segregation of Al itself but rather the
fact that we are able to trigger the segregation and the self-assembling
of layered structures through the presence of Mn. To figure out the
underlying mechanism, one should consider that Mn is here playing
the role of an efficient surfactant and is mostly accumulating at
the growing surface. Therefore, Mn behaves like the cations Ga and
Al and affects radically the equilibrium between the metal (Al or
Ga) and nitrogen, that is, the III/V ratio, which is known to have
a key role in the decomposition into superlattices.[31,33]Since the layer (sample #F) is pseudomorphically grown on
GaN,
the modulation of the Al concentration is expected to be accompanied
by a modulation of the c-parameter. To establish
the strain distribution in the layer, a geometrical phase analysis
(GPA) according to the technique developed by Hÿtch et al.[35] has been performed. The GPA is implemented from
the high resolution micrograph measured in the [112̅0] zone
axis and reported in Figure 4, panel (a). Since
the phase modulation takes place in the whole area of imaging and
since the strain state in this area is a priori unknown, the average
phase must be taken as a reference for the calculation of the strain.
The strain maps are calculated along the c- and a-axes and represented in Figure 4, panels (b) and (c), respectively.
Figure 4
Strain analysis for Al0.12Ga0.88N:Mn (sample
#F) obtained through the geometrical phase analysis method:[35] (a) high-resolution transmission electron micrograph
in cross-section taken along [112̅0] zone axis; (b, c) corresponding
strain maps along the c- and a-direction,
respectively.
Strain analysis for Al0.12Ga0.88N:Mn (sample
#F) obtained through the geometrical phase analysis method:[35] (a) high-resolution transmission electron micrograph
in cross-section taken along [112̅0] zone axis; (b, c) corresponding
strain maps along the c- and a-direction,
respectively.The absence of strain
contrast along the a-direction
is coherent with the pseudomorphic character of the layer already
evidenced by XRD. The quasi-periodic structure detectable in the strain
map calculated along the c-direction indicates that
the c lattice parameter is modulated, which confirms
the periodic variation of Al content already observed in HAADF. The
average lattice parameter measured in the HRTEM considered in Figure 4, panel (a) is 5.128 Å, which by taking into
account the strained character of the layer, corresponds to an Al
concentration of 13.1%. The average negative strain (compressive)
and positive strain (tensile) in Figure 4,
panel (b) are −1.94% and 2.84% and correspond to a c-parameter of 5.029 and 5.274 Å, respectively. Considering
that the layer is pseudomorphically grown on GaN, a c-parameter of 5.029 Å gives an Al concentration of about 35.0%,
which is far above the one extracted from XRD, while 5.274 Å
is greater than the c-parameter of relaxed GaN (5.185
Å). This unexpectedly large lattice parameter can be explained
by the presence of local defects that locally distort the lattice.
On the other hand, it must be considered that the nonperfect periodicity
of the layered structure is likely to generate a broad diffraction
line containing AlGa1–N and GaN peaks, rather than well-defined satellites,
as evidenced in Figure 2, panel (b). A similar
weak effect can be also appreciated in the fast Fourier transform
(FFT) of some of the HRTEM pictures, particularly in two beam condition,
where the (0002) peak gets elongated in the (000l) direction. Such
a pattern in the FFT of Figure 4, panel (a),
and particularly the fact that a part of it may get lost in selecting
the diffracted spot used for the strain calculation, may produce a
systematic error in the quantification of the strain and consequently
of the lattice parameter. This error could give too high (respectively
low) lattice parameter for low (respectively high) Al content layers
in the superlattice.
Conclusions
We have shown that Mn
acts as a surfactant in the MOVPE of the
technologically strategic compounds GaN and AlGa1–N and affects the surface
morphology and the crystalline arrangement. Most remarkably, in the
case of low Al concentrations, we have found that Mn induces the segregation
of Al in the AlGa1–N:Mn films and promotes the self-assembling of layered
superlattice-like structures. In a larger perspective and particularly
in the case of reactive crystal growth techniques, among which MOVPE,
the use of appropriate surfactants, and their potential of affecting
the balance between the different species involved in the growth process,
can open a new route to control the segregation of selected elements
in ternary and more complex alloys and to promote the self-assembling
of functional heterostructures.