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2015•Unpublished venueRequires access

A self-consistent solution of the Poisson, Schrödinger and Boltzmann equations for GaAs devices by a deterministic solver

Zeinab Kargar, Dino Ruić, Christoph Jungemann

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Abstract

A deterministic solver based on the Fourier harmonics expansion of the Boltzmann equation is applied to the case of GaAs devices including polar optical phonon scattering and the Pauli principle. The system of the Poisson, Schrödinger and Boltzmann equations is solved self-consistently. Results are presented for a double-gate nMOSFET which shows a velocity overshoot in the channel region and electrons lose their energy by an optical phonon cascade.

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What this paper is about

A deterministic solver based on the Fourier harmonics expansion of the Boltzmann equation is applied to the case of GaAs devices including polar optical phonon scattering and the Pauli principle. The system of the Poisson, Schrödinger and Boltzmann equations is solved self-consistently. Results are presented for a double-gate nMOSFET which shows a velocity overshoot in the channel region and electrons lose their energy by an optical phonon cascade.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A deterministic solver based on the Fourier harmonics expansion of the Boltzmann equation is applied to the case of GaAs devices including polar optical phonon scattering and the Pauli principle. The system of the Poisson, Schrödinger and Boltzmann equations is solved self-consistently. Results are presented for a double-gate nMOSFET which shows a velocity overshoot in the channel region and electrons lose their energy by an optical phonon cascade.

Key concepts: Boltzmann equation, Poisson–Boltzmann equation, Physics, Velocity overshoot, Boltzmann constant, Solver, Scattering, Pauli exclusion principle

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