We combine the extended finite element method with simulations of diffracted x-ray intensities to investigate the diffusely scattered intensity due to dislocations. As a model system a thin PbSe epitaxial layer grown on top of a PbTe buffer on a CdTe substrate was chosen. The PbSe film shows a periodic dislocation network where the dislocations run along the orthogonal 110 directions. The array of dislocations within this layer can be described by a short range order model with a narrow distribution.

1.
Semiconductor Nanostructures
, edited by
D.
Bimberg
(
Springer
,
New York
,
2008
).
2.
M.
Ieong
,
B.
Doris
,
J.
Kedzierski
,
K.
Rim
, and
M.
Young
,
Science
306
,
2057
(
2004
).
3.
J.
Stangl
,
V.
Holy
, and
G.
Bauer
,
Rev. Mod. Phys.
76
,
725
(
2004
).
4.
V. M.
Kaganer
,
R.
Köhler
,
M.
Schmidbauer
,
R.
Opitz
, and
B.
Jenichen
,
Phys. Rev. B
55
,
1793
(
1997
).
5.
V.
Holý
,
T.
Baumbach
,
D.
Lübbert
,
L.
Helfen
,
M.
Ellyan
,
P.
Mikulik
,
S.
Keller
,
S. P.
DenBaars
, and
J.
Speck
,
Phys. Rev. B
77
,
094102
(
2008
).
6.
V. M.
Kaganer
,
O.
Brandt
,
A.
Trampert
, and
K. H.
Ploog
,
Phys. Rev. B
72
,
045423
(
2005
).
7.
S.
Daniš
,
V.
Holy
,
Z.
Zhong
,
G.
Bauer
, and
O.
Ambacher
,
Appl. Phys. Lett.
85
,
3065
(
2004
).
8.
D. K.
Satapathy
,
V. M.
Kaganer
,
B.
Jenichen
,
W.
Braun
,
L.
Däweritz
, and
K. H.
Ploog
,
Phys. Rev. B
72
,
155303
(
2005
).
9.
V.
Holý
,
J. H.
Li
,
G.
Bauer
,
F.
Schäffler
, and
H. -J.
Herzog
,
J. Appl. Phys.
78
,
5013
(
1995
).
10.
G.
Springholz
and
K.
Wiesauer
,
Phys. Rev. Lett.
88
,
015507
(
2001
).
11.
Y. H.
Xie
,
G. H.
Gilmer
,
C.
Roland
,
P. J.
Silverman
,
S. K.
Buratto
,
J. Y.
Cheng
,
E. A.
Fitzgerald
,
A. R.
Kortan
,
S.
Schuppler
,
M. A.
Marcus
, and
P. H.
Citrin
,
Phys. Rev. Lett.
73
,
3006
(
1994
).
12.
I.
Kegel
,
T. H.
Metzger
,
J.
Peisl
,
J.
Stangl
,
G.
Bauer
, and
D.
Smiglies
,
Phys. Rev. B
60
,
2516
(
1999
).
13.
U.
Pietsch
,
V.
Holy
, and
T.
Baumbach
,
High-Resolution X-Ray Scattering
(
Springer
,
New York
,
2004
).
14.
T.
Belytschko
and
T.
Black
,
Int. J. Numer. Methods Eng.
45
,
601
(
1999
).
15.
R.
Gracie
,
G.
Ventura
, and
T.
Belytschko
,
Int. J. Numer. Methods Eng.
69
,
423
(
2007
).
16.
R.
Gracie
,
J.
Oswald
, and
T.
Belytschko
,
J. Mech. Phys. Solids
56
,
200
(
2008
).
17.
Since the dislocation distances can take only positive values a Poisson distribution would be more natural. However, since σL in our case is much smaller then the mean distance L a Gaussian distribution gives virtually the same results.
You do not currently have access to this content.