具有无限相关长度的确定Wigner输运方程求解器

IF 2.2 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Journal of Computational Electronics Pub Date : 2023-07-11 DOI:10.1007/s10825-023-02079-9

Kyoung Yeon Kim

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引用次数: 1

摘要

我们提出了一个具有无限相关长度的Wigner输运方程的新公式。由于最大相关长度不限于有限值，因此由于非局部势项的积分范围有限，模拟结果不存在不确定性。为了进行一般有效的模拟，通过有限体积法和完全耦合的牛顿-拉斐森格式，将所提出的WTE公式与泊松方程自洽求解。通过此，我们实现了一个具有良好收敛性的量子输运稳态和瞬态模拟器。

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A deterministic Wigner transport equation solver with infinite correlation length

We propose a new formulation of the Wigner transport equation (WTE) with infinite correlation length. Since the maximum correlation length is not limited to a finite value, there is no uncertainty in the simulation results owing to the finite integral range of the nonlocal potential term. For general and efficient simulation, the proposed WTE formulation is solved self-consistently with the Poisson equation through the finite volume method and the fully coupled Newton–Raphson scheme. Through this, we implemented a quantum transport steady state and transient simulator with excellent convergence.

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来源期刊

Journal of Computational Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

4.50

自引率

4.80%

发文量

142

审稿时长

>12 weeks

期刊介绍： he Journal of Computational Electronics brings together research on all aspects of modeling and simulation of modern electronics. This includes optical, electronic, mechanical, and quantum mechanical aspects, as well as research on the underlying mathematical algorithms and computational details. The related areas of energy conversion/storage and of molecular and biological systems, in which the thrust is on the charge transport, electronic, mechanical, and optical properties, are also covered. In particular, we encourage manuscripts dealing with device simulation; with optical and optoelectronic systems and photonics; with energy storage (e.g. batteries, fuel cells) and harvesting (e.g. photovoltaic), with simulation of circuits, VLSI layout, logic and architecture (based on, for example, CMOS devices, quantum-cellular automata, QBITs, or single-electron transistors); with electromagnetic simulations (such as microwave electronics and components); or with molecular and biological systems. However, in all these cases, the submitted manuscripts should explicitly address the electronic properties of the relevant systems, materials, or devices and/or present novel contributions to the physical models, computational strategies, or numerical algorithms.