171902-3
Koblmüller et al.
Appl. Phys. Lett. 93, 171902 ͑2008͒
The density of SFs was determined to be ϳ2ϫ105 cm−1
TABLE I. Summarized results from XRD rocking curves and WH analysis
¯
for the a-͓1120͔ and c-͓0001͔ directions. Values are given for the rocking
consistent with the WH analysis. The TD density was 4–5
curve widths, the LCL, and corresponding SF density.
10
ϫ1010 cm−2 for g=1120 and 3–4ϫ10 cm−2 for g=0002
¯
͑describing dislocations only with c-component͒ as measured
by plan-view TEM. The TD density was also determined
from the film grown at T=405 °C, which had identical SF
density but quite different crystal mosaic tilt. With a lower
¯
¯
⌬͑1100͒
⌬͑3300͒
T͑Growth͒
͑°C͒
a,c
͑deg͒
a,c
͑deg͒
LCL
͑nm͒
͑SF͒
͑cm−1
͒
395
405
410
415
445
0.31, 1.86
0.24, 1.26
0.28, 1.58
0.29, 1.62
0.34, 2.77
0.41, 0.71
0.28, 0.44
0.32, 0.53
0.30, 0.45
0.42, 1.25
51
48
21
29
6
1.95ϫ105
2.1ϫ105
4.7ϫ105
3.4ϫ105
1.6ϫ106
TD density of 3–4ϫ1010 cm−2 for g=1120 and 2–3
¯
ϫ1010 cm−2 for g=0002 and smaller crystal mosaic tilt in
this sample, this indicates a possible correlation between TD
density and crystal mosaic tilt, in consistence with c-plane
tilt
The authors acknowledge the fruitful discussions with
Professor C. Van de Walle ͑UCSB͒ and the support of
AFOSR ͑D. J. Silversmith, program manager͒ and SSLEC
͑UCSB͒. The experimental work made use of the MRSEC
facilities at UCSB ͑supported by the NSF͒.
⌬ contains contributions from crystal mosaic tilt ͑⌬ ͒
and stacking-fault-related lateral coherence length ͑LCL͒
tilt
͑L͒. The mosaic tilt ⌬ was derived from the full width at
¯
half maximum ͑FWHM͒ of the ͑3300͒ reflection, which is
entirely insensitive to stacking-fault-related anisotropic
broadening.24 The FWHM values of ͑3300͒ rocking curves
¯
1J. Wu, W. Walukiewicz, K. M. Yu, J. W. Ager, E. E. Haller, H. Lu, W. J.
3T. B. Fehlberg, G. A. Umana-Membreno, B. D. Nener, G. Parish, C. S.
Gallinat, G. Koblmüller, S. Rajan, S. Bernardis, and J. S. Speck, Jpn. J.
¯
measured along the a-͓͑1120͔͒ and c-͓͑0001͔͒ orientations
are plotted in Fig. 3͑c͒ for a set of samples grown at different
temperatures. Similar trends for the FWHMs were identified
for both orientations, i.e., near-constant FWHMs with small
anisotropy between the a- and c-orientations for low growth
temperatures, while much larger anisotropy was observed for
temperatures above ϳ430 °C. The larger anisotropy is most
likely related to the large thermal decomposition deteriorat-
ing the overall crystal quality similar to c-plane InN.25
The contribution of stacking faults to the rocking curve
broadening was evaluated via Williamson–Hall ͑WH͒ analy-
5T. Takeuchi, C. Wetzel, S. Yamaguchi, H. Sakai, H. Amano, I. Akasaki, Y.
1691 ͑1998͒.
7H. Lu, W. J. Schaff, L. F. Eastman, J. Wu, W. Walukiewicz, V. Cimalla,
8I. Mahboob, T. D. Veal, C. F. McConville, H. Lu, and W. J. Schaff, Phys.
¯
¯
sis of selected ͑1100͒ and ͑2200͒ rocking curve widths.
From the linear dependencies of the FWHMs as a function of
different reflection orders and their intercept with the
ordinate for each data set, we calculated the LCL especially
for the ͓0001͔ orientation. The LCL and corresponding SF
density ͑1/LCL͒ varied between 6 and 50 nm and ϳ2
ϫ105–1.6ϫ106 cm−1, respectively ͑Table I͒. No direct cor-
9P. A. Anderson, C. H. Swartz, D. Carder, R. J. Reeves, S. M. Durbin, S.
10A. Chakraborty, B. A. Haskell, S. Keller, J. S. Speck, S. P. DenBaars, S.
11M. C. Schmidt, K. C. Kim, H. Sato, N. Fellows, H. Masui, S. Nakamura,
͑2007͒.
tilt
relation was identified between ⌬ and LCL since films
14H. Lu, W. J. Schaff, L. F. Eastman, J. Wu, W. Walukewiecz, V. Cimalla,
15Y. Kumagai, A. Tsuyuguchi, H. Naoi, N. Ha, and Y. Nanishi, Phys. Status
grown at low temperature, i.e., 395 °CϽTϽ415 °C,
showed relatively large LCL despite significantly deviating
mosaic tilt. But according to the very large mosaic tilt for
films grown at TϾ430 °C ͓compare Fig. 3͑c͔͒, the LCL be-
came very small and the SF density became very high.
Figure 4 shows the cross-sectional transmission electron
microscopy ͑TEM͒ micrographs under different diffraction
conditions for a film grown at T=395 °C, indicating a sig-
nificant TD network with many closed loops within the first
ϳ100 nm of InN growth ͓Fig. 4͑a͔͒ and many basal-plane
SFs propagating as straight lines to the surface ͓Fig. 4͑b͔͒.
16Y. G. Cao, M. H. Xie, Y. Liu, S. H. Xu, Y. F. Ng, H. S. Wu, and S. Y.
17G. Koblmüller, C. S. Gallinat, and J. S. Speck, J. Appl. Phys. 101, 083516
͑2007͒.
18C. S. Gallinat, G. Koblmüller, J. S. Brown, S. Bernardis, J. S. Speck, G. D.
89, 032109 ͑2006͒.
͑2003͒.
21M. McLaurin, T. E. Mates, F. Wu, and J. S. Speck, J. Appl. Phys. 100,
063707 ͑2006͒.
22A. Hirai, B. A. Haskell, M. B. McLaurin, F. Wu, M. C. Schmidt, K. C.
Kim, T. B. Baker, S. P. DenBaars, S. Nakamura, and J. S. Speck, Appl.
23T. V. Shubina, S. V. Ivanov, V. N. Jmerik, D. D. Solnyshkov, V. A. Vek-
shin, P. S. Kop’ev, A. Vasson, J. Leymarie, A. Kavokin, H. Amano, K.
24M. B. McLaurin, A. Hirai, E. Young, F. Wu, and J. S. Speck, Jpn. J. Appl.
¯
25X. Wang, S.-B. Che, Y. Ishitani, and A. Yoshikawa, J. Appl. Phys. 99,
073512 ͑2006͒.
FIG. 4. Cross-sectional TEM images for the ͓1120͔ zone axis at g=0002
¯
and g=1100 diffraction conditions from an m-plane InN film grown at
T=395 °C on m-plane GaN.
26V. Srikant, J. S. Speck, and D. R. Clarke, J. Appl. Phys. 82, 4286 ͑1997͒.
150.135.239.97 On: Wed, 17 Dec 2014 18:31:37