Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-25T02:29:11.663Z Has data issue: false hasContentIssue false

Measurement of the Lateral Periodicity of a Quantum Dot Array by Triple Crystal Diffractometry

Published online by Cambridge University Press:  15 February 2011

B. Jenichen
Affiliation:
Paul-Drude-Institut fur Festkirperelektronik, Hausvogteiplatz 5-7, 1086 Berlin, Germany
K. Ploog
Affiliation:
Paul-Drude-Institut fur Festkirperelektronik, Hausvogteiplatz 5-7, 1086 Berlin, Germany
O. Brandt
Affiliation:
Mitsubishi Electric Corp., Central Research Laboratory, Amagasaki, Hyogo 661, Japan
Get access

Abstract

The lateral periodicity of an InAs quantum dot array in a GaAs matrix is measured in the differential rocking curve by triple crystal diffractometry. The quantum dot array was grown by molecular beam epitaxy of submonolayer InAs films on a terraced (001) GaAs substrate. The x-ray diffraction of the array is described in the limits of the kinematical theory. Both the changes in the scattering factor and the tetragonal deformations due to the InAs quantum dots are taken into account. The lateral periodicity of the array along [100] is 8–11nm dependent on the position of the measured region compared with an average of 10nm obtained from the miscut of the sample. In addition the vertical periodicity of the array is measured by comparison of the double crystal rocking curve with the corresponding simulation in the dynamical approximation. The vertical period of the array along [001] is 26.5nm. The coverage of the submonolayer InAs films estimated from the same measurement is 0.4. The absence of plastic relaxation is confirmed by x-ray topography.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Brandt, O., Tapfer, L., Ploog, K., Bierwolf, R., Hohenstein, M., Phillipp, F., Lage, H., and Heberle, A., Phys.Rev. B44, 8043 (1991)Google Scholar
[2] Jenichen, B., Brandt, O., Ploog, K., submitted for publication in Appl. Phys. Lett.Google Scholar
[3] Iida, A., Kohra, K., phys. stat. sol. (a) 51, 533 (1979)Google Scholar
[4] Zaumseil, P. and Winter, U., phys. stat. sol. (a) 73, 455 (1982)Google Scholar
[5] Chatschaturjan, A.G., Theory of Phase Transitions and Structure of Solid Solutions, Nauka, Moscow 1974 Google Scholar
[6] Bartels, W.J., Hornstra, J. and Lobek, D.J.W., Acta Cryst. A42, 539(1986) and Pietsch, U., T. Baumbach private communicationGoogle Scholar
[7] Jenichen, B., Köhler, R., and Mthling, W., phys. stat. sol. (a) 89, 79 (1985)Google Scholar
[8] James, R.W., The Optical Principles of the Diffraction of X-Rays, Bell and Sons, London 1958 Google Scholar
[9] Crook, G. E., Ddiweritz, L., and Ploog, K., Phys. Rev. B 42,5126 (1990)CrossRefGoogle Scholar