Quantum Corrections to the ‘Atomistic’ MOSFET Simulations

Published versio

Increase in the random dopant induced threshold fluctuations and lowering in sub-100 nm MOSFETs due to quantum effects: a 3-D density-gradient simulation study

In this paper, we present a detailed simulation study of the influence of quantum mechanical effects in the inversion layer on random dopant induced threshold voltage fluctuations and lowering in sub-100 mn MOSFETs. The simulations have been performed using a three-dimensional (3-D) implementation of the density gradient (DG) formalism incorporated in our established 3-D atomistic simulation approach. This results in a self-consistent 3-D quantum mechanical picture, which implies not only the vertical inversion layer quantization but also the lateral confinement effects related to current filamentation in the “valleys” of the random potential fluctuations. We have shown that the net result of including quantum mechanical effects, while considering statistical dopant fluctuations, is an increase in both threshold voltage fluctuations and lowering. At the same time, the random dopant induced threshold voltage lowering partially compensates for the quantum mechanical threshold voltage shift in aggressively scaled MOSFETs with ultrathin gate oxides

Intrinsic fluctuations in sub 10-nm double-gate MOSFETs introduced by discreteness of charge and matter

We study, using numerical simulation, the intrinsic parameter fluctuations in sub 10 nm gate length double gate MOSFETs introduced by discreteness of charge and atomicity of matter. The employed "atomistic" drift-diffusion simulation approach includes quantum corrections based on the density gradient formalism. The quantum confinement and source-to-drain tunnelling effects are carefully calibrated in respect of self-consistent Poisson-Schrodinger and nonequilibrium Green's function simulations. Various sources of intrinsic parameter fluctuations, including random discrete dopants in the source/drain regions, single dopant or charged defect state in the channel region and gate line edge roughness, are studied in detail

Simulation of intrinsic parameter fluctuations in decananometer and nanometer-scale MOSFETs

Intrinsic parameter fluctuations introduced by discreteness of charge and matter will play an increasingly important role when semiconductor devices are scaled to decananometer and nanometer dimensions in next-generation integrated circuits and systems. In this paper, we review the analytical and the numerical simulation techniques used to study and predict such intrinsic parameters fluctuations. We consider random discrete dopants, trapped charges, atomic-scale interface roughness, and line edge roughness as sources of intrinsic parameter fluctuations. The presented theoretical approach based on Green's functions is restricted to the case of random discrete charges. The numerical simulation approaches based on the drift diffusion approximation with density gradient quantum corrections covers all of the listed sources of fluctuations. The results show that the intrinsic fluctuations in conventional MOSFETs, and later in double gate architectures, will reach levels that will affect the yield and the functionality of the next generation analog and digital circuits unless appropriate changes to the design are made. The future challenges that have to be addressed in order to improve the accuracy and the predictive power of the intrinsic fluctuation simulations are also discussed

RTS amplitudes in decananometer MOSFETs: 3-D simulation study

In this paper we study the amplitudes of random telegraph signals (RTS) associated with the trapping of a single electron in defect states at the Si/SiO/sub 2/ interface of sub-100-nm (decananometer) MOSFETs employing three-dimensional (3-D) "atomistic" simulations. Both continuous doping charge and random discrete dopants in the active region of the MOSFETs are considered in the simulations. The dependence of the RTS amplitudes on the position of the trapped charge in the channel and on device design parameters such as dimensions, oxide thickness and channel doping concentration is studied in detail. The 3-D simulations offer a natural explanation for the large variation in the RTS amplitudes measured experimentally in otherwise identical MOSFETs. The random discrete dopant simulations result in RTS amplitudes several times higher compared to continuous charge simulations. They also produce closer to the experimentally observed distributions of the RTS amplitudes. The results highlight the significant impact of single charge trapping in the next generation decananometer MOSFETs

Quantum corrections to the `atomistic' MOSFET simulation

In this paper we study the influence of the quantum effects in the inversion layer on the parameter fluctuation in decanano MOSFETs. The quantum mechanical effects are incorporated in our previously published 3D 'atomistic' simulation approach using a full 3D implementation of the density gradient formalism. This results in a consistent, fully 3D, quantum mechanical picture which incorporates the vertical inversion layer quantization, lateral confinement effects associated with the current filamentation in the valleys of the potential fluctuation, and tunnelling through the sharp potential barriers associated with individual dopants

Effect of oxide interface roughness on the threshold voltage fluctuations in decanano MOSFETs with ultrathin gate oxides

In this paper we use the density gradient (DG) simulation approach to study, in 3D, the effect of local oxide thickness fluctuations on the threshold voltage of decanano MOSFETs on a statistical scale. The random 2D surfaces used to represent the interface are constructed using the standard assumptions for the auto-correlation function of the interface. The importance of the quantum mechanical effects when studying oxide thickness fluctuations are illustrated in several simulation examples

Random telegraph signal amplitudes in sub 100 nm (decanano) MOSFETs: a 3D `Atomistic' simulation study

In this paper we use 3D simulations to study the amplitudes of random telegraph signals (RTS) associated with the trapping of a single carrier in interface states in the channel of sub 100 nm (decanano) MOSFETs. Both simulations using continuous doping charge and random discrete dopants in the active region of the MOSFETs are presented. We have studied the dependence of the RTS amplitudes on the position of the trapped charge in the channel and on the device design parameters. We have observed a significant increase in the maximum RTS amplitude when discrete random dopants are employed in the simulations

Random dopant induced threshold voltage lowering and fluctuations in sub-0.1 μm MOSFET's: A 3-D 'atomistic' simulation study

A three-dimensional (3-D) 'atomistic' simulation study of random dopant induced threshold voltage lowering and fluctuations in sub-0.1 μm MOSFETs is presented. For the first time a systematic analysis of random dopant effects down to an individual dopant level was carried out in 3-D on a scale sufficient to provide quantitative statistical predictions. Efficient algorithms based on a single multigrid solution of the Poisson equation followed by the solution of a simplified current continuity equation are used in the simulations. The effects of various MOSFET design parameters, including the channel length and width, oxide thickness and channel doping, on the threshold voltage lowering and fluctuations are studied using typical samples of 200 atomistically different MOSFETs. The atomistic results for the threshold voltage fluctuations were compared with two analytical models based on dopant number fluctuations. Although the analytical models predict the general trends in the threshold voltage fluctuations, they fail to describe quantitatively the magnitude of the fluctuations. The distribution of the atomistically calculated threshold voltage and its correlation with the number of dopants in the channel of the MOSFETs was analyzed based on a sample of 2500 microscopically different devices. The detailed analysis shows that the threshold voltage fluctuations are determined not only by the fluctuation in the dopant number, but also in the dopant positio

Monte Carlo simulations of high-performance implant free In_0.3Ga_0.7 nano-MOSFETs for low-power CMOS applications

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