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Optical Phenomena at the Absorption Edge of Crystalline and Amorphous Silicon

  • George D. Cody (a1)

Abstract

Optical phenomena associated with the absorption edge of crystalline silicon (c-Si) and amorphous silicon hydride (a-Si:H) are presented and compared. The optical properties discussed include the energy dependence, dipole matrix element and density of states associated with the absorption edge; the temperature dependence of the relevant optical energy gaps, and finally the magnitude and temperature dependence of the slope of the Urbach edge for each material. The comparison suggests that the optical properties of the two materials are closely related and that the absorption edge of a-Si:H may be derived from the effect of site disorder on the zone center direct gap of c-Si.

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1 Adapted from Cody, G. D., in Physics of Disordered Materials, ed. Adler, D., Fritzsche, H. and Ovshinsky, S. (Plenum, New York, 1985) p. 327.
2 Cody, G. D., “The Optical Absorption Edge of a-Si:H” in Hydrogenated Amorphous Silicon. Semiconductors and Semimetals, 21C, ed. Pankove, J., (Academic Press, New York, 1984) p. 11
3 Cody, G. D. in Physics and Applications of Amorphous Semiconductors Edited by Demichelis, E. (World Scientific Singapore, 1990) p.2861.
4 Hass, K. C. and Ehrenreich, H., Annals of Physics 164, 77 (1985)
5 Jackson, W. B., Kelso, S. M., Tsai, C. C, Allen, J. W., and Oh, S.-J., Phys. Rev. B 31, 5187 (1985).
6 Cody, G. D., Brooks, B. G., and Abeles, B., Solar Energy Mat. 4, 231 (1982).
7 Taken from Apnes, D. E., “Optical Functions (Complex Refractive Index and Absorption Coefficient”, Properties of Silicon. Inspec Data Review Series No. 4 (INSPEC, London and New York, 1988).
8 Cody, G. D. and Brooks, B.G., unpublished (1983); in tabular form in reference 7; see also
Tiedje, T., Yablonovitch, E., Cody, G.D. and Brooks, B. G., IEEE Trans, on Elect. Devices ED–31, 711 (1984).
9 MacFarlane, G. E., McLean, T. P., Quarrington, J. E. and Roberts, V., Phys. Rev. 1ll, 1245 (1958).
10 Bludeau, W., Onton, A., and Heinke, H., J., Appl. Phys. 45, 1846 (1974).
11 Frova, A., Handler, P., Germano, F. A. and Aspnes, D. E., Phys. Rev. 145, 575 (1966).
12 Grein, C. H. and John, S., Phys. Rev. B 35, 7457 (1987);
Phys. Rev. B 39, 7457 (1989) and to appear in Solid State Communications
13 Bardeen, J. and Shockley, W., Phys. Rev. 80, 72 (1950)
14 Cody, G. D., Tiedje, T., Abeles, B., Brooks, B. and Goldstein, Y., Phys. Rev. Let 47, 1480 (1981).
15 Tiedje, T. and Cebulka, J. M., Phys. Rev.B 28, 7075 (1983).
16 Bludeau, W., Onton, A. , and Heinke, H. J. ,J. Appl. Phys. 45, 1846 (1974)
17 Tauc, J., Grigorovici, R. and Vancu, A., Phys. Status Solid 15, 627 (1967)

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