Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-26T04:26:13.045Z Has data issue: false hasContentIssue false

Green's Function Method for Calculation of Strain Field Due to a Quantum Dot in a Semi-Infinite Anisotropic Solid

Published online by Cambridge University Press:  01 February 2011

V.K. Tewary*
Affiliation:
Materials Reliability Division, NIST, Boulder, CO 80305 vinod.tewary@nist.gov
Get access

Abstract

A computationally convenient Green's function method is described for calculation of strain characteristics of quantum dots in an anisotropic semi- infinite solid containing a free surface. Semi-analytic expressions are derived for the strain field due to a quantum dot, strain energy of a quantum dot, and strain- field interaction between 2 quantum dots. Numerical results are presented for the strain field due to a quantum dot in GaAs. It is shown that the effect of the free surface, which has been neglected in earlier calculations using Green's function methods, is quite significant.

Type
Research Article
Copyright
Copyright © Materials Research Society 2002

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. Mura, T., “Micromechanics of Defects in Solids” (Martinus Nijhoff, Boston, 1987).Google Scholar
2. Ting, T.C.T., “Anisotropic Elasticity” (Oxford University Press, Oxford, 1996).Google Scholar
3. Jogai, B., J. Appl. Phys. 88, 5050, (2000).Google Scholar
4. Holy, V., Springholz, G., Pinczolits, M., and Bauer, G., Phys. Rev. Let. 83 356, (1999)Google Scholar
5. Jain, S.C., Willander, M., Maes, H., Semicond. Sci. Technol. 11 641, (1996)Google Scholar
6. Faux, D.A. and Pearson, G.S., Phys. Rev. B 62 R4798 (2000).Google Scholar
7. Andreev, A.D., Downes, J., Faux, D.A., and O'Reilly, E.P., J. Appl. Phys. 86 297, (1999)Google Scholar
8. Tewary, V.K., Phys. Rev. B 51 15695, (1995)Google Scholar
9. Pan, E. and Yang, B., J. Appl. Phys. 90 6190, (2001)Google Scholar
10. Tewary, V.K., Wagoner, R.H., and Hirth, J.P., J. Mater. Res. 4 113, (1989)Google Scholar