Generalized EKV Compact MOSFET Model

On the Explicit Saturation Drain Current in the Generalized EKV Compact MOSFET Model

Francisco J. García-Sánchez, Life Senior Member, IEEE,

and Adelmo Ortiz-Conde, Senior Member, IEEE

IEEE TED Aug 9. 2021

DOI: 10.1109/TED.2021.3101186

*Solid State Electronics Laboratory, Universidad Simón Bolívar, Caracas 1080, Venezuela

Abstract: We present and discuss explicit closed-form expressions for the saturation drain current of short channel metal-oxide-semiconductorfield-effect transistors (MOSFETs) with gate oxide and interface-trapped charges, and including carrier velocity saturation, according to the generalized Enz-Krummenacher-Vittoz (EKV) MOSFET compact model. The normalized saturation drain current is derived as an explicit function of the normalized terminal voltages by solving the transcendental voltage versus charge equation using the Lambert W function. Because this special function is analytically differentiable, other important quantities, such as the transconductance and the transconductance-to-currentratio, can be readily expressed as explicit functions of the terminal voltages.

Fig: Comparison of simulated transfer characteristics with (red lines and symbols) and another without (black lines and symbols) radiation-induced oxide and interface-trapped charges. Calculation of V_GB versus ID_sat (lines) comes from denormalization and the explicit ID_sat versus V_GB (symbols) comes from denormalization of the proposed explicit expressions

[paper] Generalized EKV Charge-based MOSFET Model

A Generalized EKV Charge-based MOSFET Model Including Oxide and Interface Traps

Chun-Min Zhang^a,  Farzan Jazaeri^a,  Giulio Borghello^b,  Serena Mattiazzo^c,  Andrea Baschirotto^d

and Christian Enz^a

Solid-State Electronics

Available online 7 January 2021, 107951

Open Access under a Creative Commons License

DOI: 10.1016/j.sse.2020.107951

a Integrated Circuits Laboratory (ICLAB), École Polytechnique Fédérale de Lausanne (EPFL), Neuchâtel 2000, Switzerland

b Department of Experimental Physics, CERN, Geneva 1211, Switzerland

c Department of Information Engineering, INFN Padova and University of Padova, Padova 35131, Italy

d Microelectronic Group, INFN Milano-Bicocca and University of Milano-Bicocca, Milano 20126, Italy

Abstract: This paper presents a generalized charge-based EKV MOSFET model that includes the effects of trapped charges in the bulk oxide and at the silicon/oxide interface. It is shown that in the presence of oxide- and interface-trapped charges, the mobile charge density can still be linearized but with respect to both the surface potential and the channel voltage. This enables us to derive closed-form expressions for the mobile charge density and the drain current. These simple formulations demonstrate the effects of charge trapping on MOSFET characteristics and crucial device parameters. The proposed charge-based analytical model, including the effect of velocity saturation, is successfully validated through measurements performed on devices from a 28nm bulk CMOS technology. Ultrahigh total ionizing doses up to 1 Grad (SiO2) are applied to generate oxide-trapped charges and activate the passivated interface traps. Despite a small number of parameters, the model is capable of accurately capturing the measurement results over a wide range of device operation from weak to strong inversion. Explicit expressions of device parameters also allow for the extraction of the oxide- and interface-trapped charge density.

Fig: Energy band diagrams illustrating interface charge trapping in bulk n- (a) and pMOSFETs (b) in inversion. The quasi-Fermi level of the minority carriers, 𝐸𝐹𝑛 or 𝐸𝐹𝑝, is split from that of the majority carriers 𝐸𝐹 by the channel voltage 𝑉𝑐ℎ

Acknowledgements: The authors would like to thank the EP-ESE group at CERN, especially Dr. Federico Faccio, for the continuous support in radiation measurements and the interesting discussions about data analysis. This work was supported in part by the Swiss National Science Foundation (SNSF) through the GigaradMOST project under grant number 200021_160185 and in part by the Istituto Nazionale di Fisica Nucleare (INFN) through the ScalTech28 Project.