Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T01:44:58.214Z Has data issue: false hasContentIssue false

Optical Properties of Silicon Nanocrystals: A First Principles Study

Published online by Cambridge University Press:  15 February 2011

Serdar Ögüt
Affiliation:
Departmnent of Chemical Engineering and Material Science. Minnesota Superconmputing Institute. University of Minnesota. Minneapolis. Minnesota 55455
James R. Chelikowsky
Affiliation:
Departmnent of Chemical Engineering and Material Science. Minnesota Superconmputing Institute. University of Minnesota. Minneapolis. Minnesota 55455
Steven G. Louie
Affiliation:
Department of Physics. University of California at Berkeley. and Materials Science Division. Lawrence Berkeley National Laboratory, Berkeley. California 94720
Get access

Abstract

Ab initio quasiparticle gaps. self-energy corrections. exciton Coulomb energies. and optical gaps of Si nanocrystals are calculated using the higher-order finite difference psendopotential method. The calculations are performed in real space on hydrogen-passivated Si clusters with diameters up to 30 A (> 1000 atoins). The size-dependent self-enerkgy correction is enhanced substantially compared to bulk. and quantum confinement and reduced electronic screening result in appreciable excitonic Coulomb energies. Calculated optical gaps are in very good agreement with absorption data from Si nanocrystals.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

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

REFERENCES

[1] Canham, L. T., Appl. Phys. Lett. 57, 1046 (1990).Google Scholar
[2] Lockwood, D. J., Solid State Commun. 92, 101 (1994).Google Scholar
[3] Wolkin, M. V., Jorne, J., Fauchet, P. M., Allan, G., Delerue, C., Phys. Rev. Lett. 82, 197 (1999).Google Scholar
[4] Proot, J. P., Delerue, C., and Allan, G., Appl. Phys. Lett. 61, 1948 (1992); C. Delerue, G. Allan, and M. Lannoo, Phys. Rev. B 48, 11 024 (1993).Google Scholar
[5] Takagahara, T. and Takeda, K., Phys. Rev. B 46, 15 578 (1992).Google Scholar
[6] Wang, L. W. and Zunger, A., J. Phys. Chem. 98, 2158 (1994).Google Scholar
[7] Hill, N. A. and Whaley, K. B., Phys. Rev. Lett. 75, 1130 (1995); ibid. 76, 3039 (1996).Google Scholar
[8] Delerue, C., Lannoo, M., and Allan, G., Phys. Rev. Lett. 76, 3038 (1996).Google Scholar
[9] Lannoo, M., Delerue, C., and Allan, G., Phys. Rev. Lett. 74, 3415 (1995); G. Allan, C. Delerue, M. Lannoo, and E. Martin, Phys. Rev. B 52, 11 982 (1995).Google Scholar
[10] Hybertsen, M. S. and Louie, S. G., Phys. Rev. B 34, 5390 (1986).Google Scholar
[11] Chelikowsky, J. R., Troullier, N., and Saad, Y.. Phys. Rev. Lett. 72, 1240 (1994).Google Scholar
[12] Briggs, E. L., Sullivan, D. J., and Bernholc, J., Phys. Rev. B 52, R5471 (1995); F. Gygi and G. Galli, ibid., R2229 (1995); G. Zumbach, N. A. Modine, E. Kaxiras, Solid State Commun. 99, 57 (1996).Google Scholar
[13] Öĝüt, S., Chelikowsky, J. R., and Louie, S. G., Phys. Rev. Lett. 79, 1770 (1997).Google Scholar
[14] Godby, R. W. and White, I., Phys. Rev. Lett. 80, 3161 (1998); S. Öĝüt, J. R. Chelikowsky, and S. G. Louie, ibid., 3162 (1998).Google Scholar
[15] Rohlfing, M. and Louie, S. G., Phys. Rev. Lett. 80, 3320 (1998); private communication.Google Scholar
[16] Troullier, N. and Martins, J. L., Phys. Rev. B 43, 1993 (1991).Google Scholar
[17] Kleinman, L. and Bylander, D. M., Phys. Rev. Lett. 48, 1425 (1982).Google Scholar
[18] Ceperley, D. M. and Alder, B. J., Phys. Rev. Lett. 45, 566 (1980).Google Scholar
[19] Brus, L., J. Phys. Chem. 90, 2555 (1986); Y. Kayanuma, Phys. Rev. B 38, 9797 (1988).Google Scholar
[20] Franceschetti, A. and Zunger, A., Phys. Rev. Lett. 78, 915 (1997).Google Scholar
[21] Vasiliev, I., Opiit, S., and Chelikowsky, J. R., Phys. Rev. Lett. 78, 4805 (1997).Google Scholar
[22] Srinivasan, G., Phys. Rev. 178, 1244 (1969).Google Scholar
[23] Furukawa, S. and Miyasato, T., Phys. Rev. B 38, 5726 (1988).Google Scholar