Modelling of Threshold Voltage with Non-uniform
Substrate Doping
K. Y. Lim and X. Zhou
School of Electrical & Electronic Engineering, Nanyang Technological
University
Nanyang Avenue, Singapore 639798
(Phone: 65-7991368, Fax: 65-7912687, Email: exzhou@ntu.edu.sg)
Proc. of the 1998 IEEE International Conference
on Semiconductor Electronics (ICSE’98)
Malaysia, November 24-26, 1998, pp. 27-31.
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Abstract
A simple analytical threshold voltage equation for modelling non-uniform
channel doping is derived, which takes the peak doping concentration and
peak location as inputs with a single process-dependent fitting parameter.
The model has been verified with extensive numerical simulation results
and can be applied to real devices for a wide range of non-uniform doping
profiles with a simple, empirical parameter extraction.
References
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[1] N. D. Arora, “Semi-empirical model for the threshold voltage of a double
implanted MOSFET and its temperature dependence,” Solid-State Electron.,
vol. 30, pp. 559–569, 1987.
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[2] C. Lallement, M. Bucher and C. Enz, “Modelling and characterization
of non-uniform substrate doping,” Solid-State Electron., vol. 41, pp. 1857–1861,
1997.
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[3] W. Zhang and Z. Yang, “A new threshold voltage model for deep-submicron
MOSFET’s with non-uniform substrate dopings,” 1997 Hong Kong Electron Devices
Meeting, pp. 39–41, 1997.
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[4] P. Ratnam, C. Andre, and T. Salama, “A new approach to the modelling
of non-uniformly doped short channel MOSFET’s,” IEEE Trans. on Electron
Devices, vol. 31, pp. 1289–1298, 1984.
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[5] D. A. Antoniadis, “Calculation of threshold voltage in non-uniformly
doped MOSFET’s,” IEEE Trans. on Electron Devices, vol. 31, pp. 303–307,
1984.
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[6] K. Y. Lim, X. Zhou, D. Lim, Y. Zu, H. M. Ho, K. Loiko, C. K. Lau, M.
S. Tse, and S. C. Choo, “A predictive semi-analytical threshold voltage
model for deep-submicron MOSFET’s,” 1998 Hong Kong Electron Devices Meeting,
1998.
Citation
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[8] X. Zhou, K. Y. Lim, and D. Lim,
"A simple and unambiguous definition of threshold voltage and its implications
in deep-submicron MOS device modeling," IEEE Trans. Electron Devices, Vol.
46, No. 4, pp. 807-809, Apr. 1999.
-
[7] X. Zhou, K. Y. Lim, and D. Lim,
"A general approach to compact threshold voltage formulation based on 2-D
numerical simulation and experimental correlation for deep-submicron ULSI
technology development," IEEE Trans. Electron Devices, Vol. 47, No. 1,
pp. 214-221, Jan. 2000.
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[1] K. Y. Lim, X. Zhou, and
Y. Wang, "Modeling of threshold voltage with reverse short channel effect,"
Proc. 3rd International Conference on Modeling and Simulation of Microsystems
(MSM2000), San Diego, CA, Mar. 2000, pp. 317-320.
-
[14] X. Zhou and K. Y. Lim, "Unified
MOSFET compact I-V model formulation through physics-based effective transformation,"
IEEE Trans. Electron Devices, Vol. 48, No. 5, pp. 887-896, May 2001.
-
[2] X. Zhou, S. B. Chiah, K.
Y. Lim, Y. Wang, X. Yu, S. Chwa, A. See, and L. Chan, "Technology-dependent
modeling of deep-submicron MOSFET's and ULSI circuits," (Invited Paper),
Proc. 6th International Conference on Solid-State and Integrated-Circuit
Technology (ICSICT-2001), Shanghai, Oct. 2001, Vol. 2, pp. 855-860.
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[1] K. Y. Lim, X. Zhou, and Y.
Wang, "Physics-Based Threshold Voltage Modeling with Reverse Short Channel
Effect," J. Modeling Simulation Microsystems (JMSM), Vol. 2, No. 1, pp.
51-55, 2001.