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Authors
Clerc, R,O'Sullivan, P,McCarthy, KG,Ghibaudo, G,Pananakakis, G,Mathewson, A;
Year
2001
Month
January
Journal
Solid-State Electronics
Title
A physical compact model for direct tunneling from NMOS inversion layers
Status
Validated
Times Cited
()
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Keywords
quantum effects direct tunneling MOS model gate current circuit simulation ULTRATHIN GATE OXIDES MOS-TRANSISTOR CAPACITANCE VOLTAGE SCHRODINGER DIELECTRICS SIMULATION MOBILITY LEAKAGE DEVICES
Volume
45
Issue
Start Page
1705
End Page
1716
Abstract
This paper presents a physically based, analytical, circuit simulation model for direct tunneling from NMOS inversion layers in a MOS structure. The model takes account of the effect of quantization on surface potential in the silicon, the supply of carriers for tunneling and the oxide transmission probability. The inclusion of quantum effects is based on a variational approach to the solution of the Poisson and Schrodinger equations in the silicon inversion layer [Rev Modern Phys 54 (1982) 437]. Usually the variational approach requires iterative solution of equations which is computationally prohibitive in a circuit simulation environment. In this paper, it is shown that by considering the dominant effects in weak and strong inversion, it is possible to formulate a set of equations which give all required quantities for the calculation of quantization in the inversion layer, without the requirement for iterative solution. The tunneling model is based on the concept of transparency. Improved formulae for the transparency and the escape frequency are used. Comparisons with coupled Poisson and Schrodinger simulations and with measurements are demonstrated. (C) 2001 Elsevier Science Ltd, All rights reserved.
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