改进Wigner输运方程数值解的边界概念

2018 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD) Pub Date : 2018-09-01 DOI:10.1109/SISPAD.2018.8551736

L. Schulz, D. Schulz

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引用次数: 3

摘要

尽管维格纳输运方程的数值解与问题有关，但从工程的角度来看，这种方法是可取的。在基于Schrödinger方程数值解的比较中的几个差异中，没有开放边界条件可能是最突出的挑战之一。因此，可能会得到非物理的结果。为了克服这些限制，提出了两个概念，允许在维格纳函数形式主义中包含开放边界条件。以结构简单的谐振隧道二极管作为原型器件，对这些概念进行了研究。

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Boundary Concepts for an Improvement of the Numerical Solution with regard to the Wigner Transport Equation

Even though the numerical solution of the Wigner Transport Equation is linked with problems, the approach is preferable from the engineering point of view. Among the several differences in comparisons based on the numerical solution of the Schrödinger equation, the absence of open boundary conditions may be one of the most prominent challenges. As a consequence unphysical results may be obtained. To overcome the limitations, two concepts are presented allowing an inclusion of open boundary conditions in the Wigner function formalism. The concepts are investigated by means of a simple structured resonant tunneling diode as a prototype device.

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2018 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD)

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