Hostname: page-component-77c89778f8-m42fx Total loading time: 0 Render date: 2024-07-17T00:00:44.487Z Has data issue: false hasContentIssue false

An Analytical Model for Field-Enhanced Diffusion of Ionized Impurities in Highly Doped Si

Published online by Cambridge University Press:  17 March 2011

Bogdan S. Sokolovskii
Affiliation:
Ivan Franko National University, Lviv, UA-79602, Ukraine
Liubomyr S. Monastyrskii
Affiliation:
Ivan Franko National University, Lviv, UA-79602, Ukraine
Roman M. Kovtun
Affiliation:
Ivan Franko National University, Lviv, UA-79602, Ukraine
Get access

Abstract

An expression for concentration dependence of diffusion coefficient of ionized impurity in semiconductors which is derived which is valid for the whole range of carrier degeneracy under the condition that the impurity concentration greatly exceeds the intrinsic carrier density. Due to reduction of impurity field screening by mobile carriers at degenerate conditions the diffusion coefficient is shown to be a monotonously increasing function of impurity concentration. It is proved that taking band gap narrowing into account results in a reduction of the diffusion coefficient in comparison with the case of unperturbed band structure. In addition, a decreasing concentration dependence of the diffusion coefficient can be realized at relatively low impurity concentrations.

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

1. Atomic Diffusion in Semiconductors, ed. Shaw, D. (London-N.Y.: Plenum Press, 1973).10.1007/978-1-4615-8636-4Google Scholar
2. Process and Device Simulation for MOS-VLSI Circuits, ed. Antognetti, P., Antoniadis, D.A., Dutton, R.W., Oldham, W.G. (Boston: Martinus, 1983).10.1007/978-94-009-6842-4Google Scholar
3. Smits, F.L., Proc. IRE, 46, 1049 (1958).10.1109/JRPROC.1958.286843Google Scholar
4. Shockley, W., J. Appl. Phys., 32, 1402 (1961).10.1063/1.1736245Google Scholar
5. Snapiro, I.B., Tkachenko, N.N., JETP Lett., 50, 120 (1989).Google Scholar
6. Thai, N.D., J. Appl.Phys., 41, 2859 (1970).10.1063/1.1659328Google Scholar
7. Marshak, A.H., Shrivastava, R., Solid-State Electronics, 25, 151 (1982).10.1016/0038-1101(82)90047-8Google Scholar
8. Blakemore, J., Semiconductor Statistics (Oxford: Pergamon Press, 1962).Google Scholar
9. Bonch-Bruevich, V. L., Kalashnikov, S.G., Physics of Semiconductors (Moscow: Nauka, 1990).Google Scholar
10. Jain, S.C., McGregor, J.C., Roulston, D.J., J. Appl. Phys., 68, 3747 (1990).10.1063/1.346291Google Scholar
11. Jain, S.C., Roulston, D. J., Solid-State Electronics, 34, 453 (1991).10.1016/0038-1101(91)90149-SGoogle Scholar
12. Tannenbaum, E., Solid-State Electronics, 2, 123 (1961).10.1016/0038-1101(61)90029-6Google Scholar