Density-gradient theory: a macroscopic approach to quantum confinement and tunneling in semiconductor devices

MG Ancona - Journal of computational electronics, 2011 - Springer
Density-gradient theory provides a macroscopic approach to modeling quantum transport
that is particularly well adapted to semiconductor device analysis and engineering. After …

[PDF][PDF] Основы моделирования элементов микро-и наноэлектроники

ИИ Абрамов - 2016 - libeldoc.bsuir.by
Смысл книги. Одно из самых сложных в настоящее время изделий электронной
промышленности-интегральная схема (ИС). Современная ИС может содержать более …

Learning quantum drift-diffusion phenomenon by physics-constraint machine learning

C Li, Y Yang, H Liang, B Wu - IEEE/ACM Transactions on …, 2022 - ieeexplore.ieee.org
Recently, deep learning (DL) is widely used to detect physical phenomena and has
obtained encouraging results. Several works have shown that it can learn quantum …

Finite element error estimates for the nonlinear Schr\"{o} dinger-Poisson model

T Cui, W Lu, N Pan, W Zheng - arXiv preprint arXiv:2307.09703, 2023 - arxiv.org
In this paper, we study a priori error estimates for the finite element approximation of the
nonlinear Schr\"{o} dinger-Poisson model. The electron density is defined by an infinite …

Uniform convergence of an exponentially fitted scheme for the quantum drift diffusion model

R Pinnau - SIAM journal on numerical analysis, 2004 - SIAM
We analyze an exponentially fitted finite element scheme for the unipolar quantum drift
diffusion model in one-dimensional space. The existence of discrete solutions is shown …

An accelerated monotone iterative method for the quantum-corrected energy transport model

RC Chen, JL Liu - Journal of Computational Physics, 2008 - Elsevier
A non-stationary monotone iterative method is proposed and analyzed for the quantum-
corrected energy transport model in nanoscale semiconductor device simulation. For the …

The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model

X Chen, L Chen, H Jian - Chinese Annals of Mathematics, Series B, 2007 - Springer
The authors study the existence and long-time behavior of weak solutions to the bipolar
transient quantum drift-diffusion model, a fourth order parabolic system. Using semi …

Quantum semiconductor models

L Chen, M Dreher - Partial differential equations and spectral theory, 2011 - Springer
We give an overview of analytic investigations of quantum semiconductor models, where we
focus our attention on two classes of models: quantum drift diffusion models, and quantum …

Probing quantum effects with classical stochastic analogs

R Goerlich, G Manfredi, PA Hervieux, L Mertz… - Physical Review …, 2021 - APS
We propose a method to construct a classical analog of an open quantum system, namely, a
single quantum particle confined in a potential well and immersed in a thermal bath. The …

[PDF][PDF] A positivity-preserving finite element method for quantum drift-diffusion model

P Mu, W Zheng - Journal of Computational Mathematics, 2023 - doc.global-sci.org
In this paper, we propose a positivity-preserving finite element method for solving the three-
dimensional quantum drift-diffusion model. The model consists of five nonlinear elliptic …