Abstract
Two- and three-dimensional mobile carrier transport in a semiconductor is simulated in the FIELDAY program using the finite element method. A wide variety of physical effects important in bipolar and field effect transistors can be modeled. The finite element method transforms the continuum description of mobile carrier transport in a semiconductor device to a simulation model at a discrete number of points. Coupled and decoupled algorithms offer two methods of linearizing the differential equations. Direct techniques are used to solve the resulting matrix equations. Pre- and post-processors enable users to rapidly generate new models and analyze results. Specific examples illustrate the flexibility and accuracy of FIELDAY. Projections of future advancements in the program are discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Footnotes
Cottrell, P. E. and E. M. Buturla. “Application of the Finite Element Method to Semiconductor Transport,” presented at the Asilo-mar Conference on Circuits and Systems, Pacific Grove, CA, (1976).
Slotboom, J. W. and H. C. DeGraaff. “Measurements of Band Gap Narrowing in Si Bipolar Transistors,” Solid State Electron. 19, (1976) 857–862.
Caughey, D. M. and R. E. Thomas. “Carrier Mobilities in Silicon Empirically Related to Doping and Field,” Proc. IEEE 55, (1967) 2192–2193.
Dziewior J. and W. Schmid. “Auger Coefficients for Highly Doped and Excited Silicon,” Appl. Phys. Lett. 31, (1977) 346–348.
Hall, R. N. “Electron-Hole Recombination in Germanium,” Phys. Rev. 87, (1952) 387.
Shockley, W. and W. T. Read. “Statistics of the Recombination of Holes and Electrons,” Phys. Rev. 87 (1952) 835–842.
Crowell, C. R. and S. M. Sze. “Temperature Dependence of Avalanche Multiplication in Semiconductors,” Appl. Phys. Lett. 9 (1966) 242–244.
Schottky, W. Naturwissenschaften 26 (1938) 843.
Crowell, C. R. and S. M. Sze. “Current Transport in Metal-Semiconductor Barriers,” Solid-State Electron. 9 (1966) 1035.
Buturla, E. M. and P. E. Cottrell. “Two-Dimensional Finite Element Analysis of Semiconductor Phenomena,” presented at the International Conference on Numerical Methods in Electric and Magnetic Field Problems, Santa Margherita, Italy, 1976.
Gummel, H. K. “A Self-Consistent Iterative Scheme for One-Dimensional Steady State Transistor Calculations,” IEEE Trans. Electron Devices ED-11, (1964) 445–465.
Hachtel, G. D., M. Mack, and R. R. O’Brien. “Semiconductor Device Analysis Via Finite Elements,” presented at the Eighth Asilomar Conference on Circuits and Systems, Pacific Grove, CA, (1974).
Cottrell, P. E. and E. M. Buturla. “Two-dimensional Static and Transient Simulation of Mobile Carrier Transport in a Semiconductor,” Proceedings of the NASECODE I Conference, Boole Press, Dublin, Ireland (1979) 31–64.
O. C. Zienkiewicz and Y. K. Cheung, “Finite Elements in the Solution of Field Problems,” The Engineer, Sept. 1965, pp 507–510.
Archer, J. S. “Consistent Matrix Formulations for Structural Analysis Using Influence Coefficient Techniques,” presented at the First American Institute of Aeronautics and Astronautics Annual Meeting, June 1964, Paper No. 64–488.
Buturla, E. M. and P. E. Cottrell. “Two-Dimensional Finite Element Analysis of Semiconductor Steady-State Transport Equations,” presented at the International Conference on Computational Methods in Nonlinear Mechanics, Austin, TX, 1974.
International Business Machines Program Product, Subroutine Library-Mathematics User’s Guide, Order No. SH12–5300–1, available through IBM branch offices.
George, J. A. and J. Liu. Users Guide for SPARSPAK: Waterloo Sparse Linear Equations Package, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada (1979).
George, J. A. and J. Liu. “Algorithms for Matrix Partitioning and the Numerical Solution of Finite Element Systems,” SIAM Journal of Numerical Analysis, Vol. 15, (1978) 297.
George, J. A. and J. Liu. “An Automatic Nested Dissection Algorithm for Irregular Finite Element Problems,” SIAM Journal of Numerical Analysis, Vol. 15 (1978) 1053.
Buturla, E. M. and P. E. Cottrell. “Simulation of Semiconductor Transport Equations Using Coupled and Decoupled Solution Techniques,” Solid-State Electron. 23, (1980) 331–334.
Buturla, E. M., P. E. Cottrell, B. M. Grossman, M. B. Lawlor, C. T. McMullen, and K. A. Salsburg. “Three Dimensional Simulation of Semiconductor Devices,” IEEE International Solid State Circuits Conference Digest of Technical Papers, San Francisco, (Feb. 1980) 76–77.
Cottrell, P. E. and E. M. Buturla. “Steady State Analysis of Field Effect Transistors via the Finite Element Method,” Digest of the IEEE International Electron Devices Meeting, Washington, DC, (Dec. 1975), 51–54.
Noble, W. P. and P. E. Cottrell. “Narrow Channel Effects in Insulated Gate Field Effect Transistors,” Digest of the IEEE International Electron Devices Meeting, Washington, DC, (Dec. 1976), 582–586.
Gaensslen, F. H. “Geometry Effects of Small MOSFET Devices,” IBM J. Res. Develop. 23, (1979) 682–688.
Kotecha, H. and W. P. Noble. “Interaction of IGFET Field Design with Narrow Channel Device Operation,” Digest of the IEEE International Electron Devices Meeting, Washington, DC, (Dec. 1980), 724–727.
Larsen, Richard A. “A Silicon and Aluminum Dynamic Memory Technology,” IBM J. Res. Develop. 24, (1980) 268–282.
Barnes, J.J. and D.N. Shabde, and F.B. Jenne. “The Buried-Source VMOS Dynamic RAM Device,” Digest of the IEEE International Electron Devices Meeting, Washington, DC, (Dec. 1977), 272–275.
Hoffman K. and R. Losehand. “VMOS Technology Applied to Dynamic RAMs,” IEEE J. Solid State Circuits SC-13, (1978) 617–622.
Cottrell, P.E. and E.M. Buturla. “Threshold and Subthreshold Characteristics of VMOS FETs via a Two-dimensional Finite Element Model,” presented at the Device Research Conference, June 1978, abstract published in IEEE Trans. Electron Devices ED-25, (1978) 1346.
Eardley, D. IBM General Technology Division laboratory, East Fishkill, NY, private communication.
Buturla, E.M., P.E. Cottrell, B.M. Grossman, C.T. McMullen, and K.A. Salsburg. “Three-Dimensional Transient Finite Element Analysis of the Semiconductor Transport Equations,” Proceedings of the NASECODE II Conference, Boole Press, Dublin, Ireland, (June 1981).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Martinus Nijhoff Publishers, The Hague
About this chapter
Cite this chapter
Salsburg, K.A., Cottrell, P.E., Buturla, E.M. (1983). Fielday — Finite Element Device Analysis. In: Antognetti, P., Antoniadis, D.A., Dutton, R.W., Oldham, W.G. (eds) Process and Device Simulation for MOS-VLSI Circuits. NATO ASI Series, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6842-4_14
Download citation
DOI: https://doi.org/10.1007/978-94-009-6842-4_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-6844-8
Online ISBN: 978-94-009-6842-4
eBook Packages: Springer Book Archive