Abstract
The motivations for using computers to simulate the electrical characteristics of transistors are discussed. Our work and that of others in the area of device physics and modeling are described. We compare conventional device physics with an alternative approach to device physics that is more directly traceable to quantum-mechanical concepts. We then apply this new approach to quasi-neutral regions, space-charge regions, and regions with high levels of carrier injection. Examples of applying quantum-mechanically-based device physics to energy band diagrams for bipolar transistors are given. The limits for using theoretical results from uniform media in numerical simulations of devices with large concentration gradients are discussed. Calculations of the effective intrinsic carrier concentrations for gallium arsenide and silicon are also given along with published data. In addition, calculations of the mobilities for GaAs that are based in part on quantum-mechanical phase shifts are compared with published data. We then conclude with a discussion of the requirements for verifying and calibrating device simulators for the submicrometer domain.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. L. Blue and C. L. Wilson, IEEE Trans. Electron Devices ED-30, 1056 (1983).
J. R. Klauder, Ann. Phys. 14, 43 (1961).
R. A. Abram, G. N. Childs, and P. A. Saunderson, J. Phys. C17, 6105 (1984).
J. del Alamo, S. Swirhun, and R. M. Swanson, Proceedings of the IEDM, 290 (1985).
H. S. Bennett, IEEE Trans. Electron Devices ED-30, 920 (1983).
H. S. Bennett and D. E. Fuoss, IEEE Trans. Electron Devices ED-32, 2069 (1985).
M. Kurata and J. Yoshida, IEEE Trans. Electron Devices ED-31, 467 (1984).
P. M. Asbeck, D. L. Miller, R. Asatourian, and C. G. Kirkpatrick, IEEE Electron Device Letters EDL-3, 403 (1982).
M. S. Adler, Solid-State Electronics 26, 387 (1983).
S. P. Gaur, P. A. Habitz, Y. J. Park, R. K. Cook, Y.-S. Huang, and L. F. Wagner, IBM Journal of Research and Development 29, 242 (1985).
M. S. Lundstom, R. J. Schwartz, and J. L. Gray, Solid-State Electronics 24, 195 (1981).
A. H. Marshak, Solid-State Electronics 31, 1551 (1988).
W. Slotboom and H. C. deGraaff, Solid-State Electronics 19, 586 (1976).
H. B. Callen, Thermodynamics, New York: Wiley & Sons, 1960, p. 207.
F. Reif, Fundamentals of Statistical and Thermal Physics, New York: McGraw-Hill, 1965, p. 324.
D. D. Tang, IEEE Trans. Electron Devices ED-27, 563 (1980).
A. W. Weider, Proceedings of the IEDM, 460 (1978).
M. S. Adler and G. E. Possin, IEEE Trans. Electron Devices ED-28, 1053 (1981) and references therein.
G. E. Possin, M. S. Adler, and B. J. Baliga, IEEE Trans. Electron Devices ED-31, 3 (1984).
J. Wagner and J. A. del Alamo, J. Appl. Phys. 63, 425 (1988).
G. E. Possin, M. S. Adker, and B. J. Baliga, Proceedings of the ASTM Symposium on Lifetime Factors in Silicon, ASTM STP 712, 192 (1980).
D. J. Roulston, N. D. Arora, and S. G. Chamberlain, IEEE Trans. Electron Devices ED-29, 284 (1982).
W. Shockley and W. T. Read, Jr., Phys. Rev. 87, 835 (1952).
H. S. Bennett, Solid-State Electronics 28, 193 (1985).
H. S. Bennett, J. Appl. Phys. 59, 2837 (1986).
H. S. Bennett and J. R. Lowney, J. Appl. Phys. 62, 521 (1987).
H. S. Bennett, Solid-State Electronics 26, 1157 (1983).
J. R. Lowney and H. S. Bennett, J. Appl. Physics 69, 7102 (1991).
J. R. Lowney and W. R. Thurber, Electron. Lett. 20, 142 (1984).
B. R. Chawla and H. K. Gummel, IEEE Trans. Electron Devices ED-18, 178 (1971).
J. R. Lowney, Solid-State Electronics 28, 187 (1985).
H. S. Bennett, J. Appl. Phys. 55, 3582 (1984).
S. C. Jain, R. P. Mertens, P. Van Mieghem, M. G. Mauk, M. Ghannam, G. Borghs, and R. Van Overstraeten, Proceedings of the IEEE 1988 Bipolar Circuits and Technology Meeting, 1988, J. Jopke, Ed., p. 195.
H. C. Chen, S. S. Li, and K. W. Teng, Solid-State Electronics 32, 339 (1989).
A. Neugroschel, J. S. Wang, and F. A. Lindholm, IEEE Electron Device Letters, EDL-6, 253 (1985).
M. Capizzi, S. Modesti, A. Frova, J. L. Staehli, M. Guzzi, and R. A. Logan, Phys. Rev. B 29, 2028 (1984).
J. R. Lowney, Proceedings of the IEEE 1988 Bipolar Circuits and Technology Meeting, 1988, J. Jopke, Ed., p. 188.
P. T. Landsberg and D. J. Robbins, Solid-State Electronics 28, 137 (1985).
J. R. Lowney, J. Appl. Phys. 59, 2048 (1986).
T. J. de Lyon, H. C. Casey, Jr., and A. J. SpringThorpe, J. Appl. Phys. 65, 2530 (1989).
A. Yariv, Quantum Electronics, New York: Wiley & Sons, 1967, p. 282.
M. C. Wu, Y. K. Su, K. Y. Cheng, and C. Y. Chang, Solid-State Electronics 31, 251 (1988).
J. R. Lowney, R. D. Larrabee, and W. R. Thurber, IEEE Proceedings of the Custom Integrated Circuits Conference, May 1983, p. 152.
J. R. Lowney and H. S. Bennett, J. Appl. Phys. 65, 4823 (1989).
H. S. Bennett and J. R. Lowney, Solid-State Electronics 33, 675 (1990).
J. R. Lowney, A. H. Kahn, J. L. Blue, and C. L. Wilson, J. Appl. Phys. 52, 4075 (1981).
J. R. Lowney, J. Appl. Phys. 64, 4544 (1988).
S. M. Sze, Physics of Semiconductor Devices, New York: Wiley & Sons, 1981, 2nd edition, p.21 and p. 850.
W. Walukiewicz, L. Lagowski, L. Jastrzebski, M. Lichtensteiger, and H. Gatos, J. Appl. Phys. 50, 899 (1979).
J. R. Lowney and H. S. Bennett, J. Appl. Phys. 53, 433 (1982).
L. Reggiani, Hot-Electron Transport in Semiconductors (Springer-Verlag, New York, 1985), p.7ff.
D. J. Howarth and E. H. Sondheimer, Proc. Roy. Soc. London A 219, 53 (1953).
H. Ehrenreich, Phys. Rev. 120, 1951 (1960).
J. D. Wiley in Semiconductors and Semimetals, Ed. by Willardson and Beer (Academic Press, New York, 1974) Vol. 10, p. 91.
P. Lugli and D. K. Ferry, Appl. Phys. Lett. 46, 594 (1985).
R. Katoh, M. Kurata, and J. Yoshida, IEEE Trans. Electron Devices ED-36, 846, (1989).
M. E. Kim, A. Das, and S. D. Senturia, Phys. Rev. B 18, 6890 (1978).
H. Brooks and C. Herring, Phys. Rev. 83, 879 (1951).
L. F. Shampine and H. A. Watts, DEPAC-Design of a User Oriented Package of ODE Solvers, Sandia National Laboratories Technical Report, SAND-79–2374, 1979.
W. Walukiewicz, J. Lagowski, L. Jastrzebski, and H. C. Gatos, J. Appl. Phys. 50, 5040 (1979).
D. Chattopadhyay, J. Appl. Phys. 53, 3330 (1982).
J. Appel, Phys. Rev. 125, 1815 (1962).
M. Luong and A. W. Shaw, Phys. Rev. B 4, 2436 (1971).
R. A. Hopfel, J. Shah, P. A. Wolff, and A. C. Gossard, Phys. Rev. B 37, 6941 (1988).
P. Van Halen and D. L. Pulfrey, J. Appl. Phys. 59, 2264 (1986).
D. L. Pulfrey, private communication.
J. R. Meyer and F. J. Bartoli, Phys. Rev. B 36, 5989 (1987).
H. J. Lee and D. C. Look, J. Appl. Phys. 54, 4446 (1983).
H. Ito and T. Ishibashi, J. Appl. Phys. 65, 5197 (1989).
S. Tiwari and S. L. Wright, Appl. Phys. Lett. 56, 563 (1990).
T. Furuta and M. Tomizawa, Appl. Phys. Lett. 56, 824 (1990).
M. L. Lovejoy, B. M. Keyes, M. E. Klausmeier-Brown, M. R. Melloch, R. K. Ahrenkiel, and M. S. Lundstrom, “Time-of-Flight Measurements of Zero-Field Electron Diffusion in P+-GaAs,” Extended Abstracts for the 22nd International Conference of Solid State Devices and Materials, Sendai, Japan, pages 613–616 (1990).
SEDAN Semiconductor Device Analysis, Stanford University, Stanford, California, January 1980 version.
These identifications do not imply recommendation or endorsement by the National Institute of Standards and Technology.
J. Albers, P. Roitman, and C. L. Wilson, IEEE Trans. Electron Devices ED-30, 1453 (1983).
M. Tomizawa, T. Ishibashi, H. S. Bennett, and J. R. Lowney, Extended Abstracts of the 1991 VLSI Process and Device Modeling Workshop, Oiso, Japan, May 1991 and submitted for publication.
D. R. Myers, J. A. Lott, J. R. Lowney, J. F. Klem, and C. P. Tigges, Proceedings of the 1990 International Electron Devices Meeting 90CH2865-4, 759 (1990).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag New York, Inc.
About this paper
Cite this paper
Bennett, H.S., Lowney, J.R. (1994). Physics for Device Simulations and its Verification by Measurements. In: Coughran, W.M., Cole, J., Lloyd, P., White, J.K. (eds) Semiconductors. The IMA Volumes in Mathematics and its Applications, vol 59. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8410-6_3
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8410-6_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8412-0
Online ISBN: 978-1-4613-8410-6
eBook Packages: Springer Book Archive