纳米结构器件的多尺度多物理场模拟:TiberCAD项目

M. Auf der Maur, M. Povolotskyi, F. Sacconi, G. Romano, G. Penazzi, A. Pecchia, A. Di Carlo
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摘要

TIBERCAD项目[1]旨在实现一个设备模拟器,该模拟器捕获当前和新兴电子和光电子设备中遇到的最重要的物理概念。一方面,器件尺寸的缩小需要包含超越经典输运理论的更先进的量子力学概念。另一方面,新兴器件的功能既基于电子/空穴,也基于其他准粒子,如激子、极化子等。通常,与整个模拟域相比,需要更精心和仔细处理的设备的有源部分很小。然而,更精确的模型的计算成本使其无法应用于整个领域,特别是在使用原子方法时。TIBERCAD实现了以下物理模型:(a)基于固体线性弹性理论的结构模型,假设不同材料之间的界面为伪晶[2],可以计算晶格错配异质结构的应变和形状变形。外部机械力可以包含在仿真中。(b)基于包络函数近似计算受限粒子本征态的量子力学模型,包括单波段和多波段k。p的方法。我们求解了一个平稳薛定谔方程,得到了能谱、粒子密度和光跃迁的概率[3]。(c)考虑电子、空穴和激子的半经典输运模型。在漂移-扩散近似中处理输运。电化学电位被用作因变量,使得粒子通量等于驱动电位的梯度乘以粒子电导率φ
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Multiscale-Multiphysics Simulation of Nanostructured Devices: the TiberCAD Project
The TIBERCAD project [1] is aimed at the implementation of a device simulator which captures the most important physical concepts encountered in present and emerging electronic and optoelectronic devices. On the one hand the down-scaling of device dimensions requires the inclusion of more advanced quantum mechanical concepts which go beyond classical transport theories. On the other hand, functionality of new emerging devices is based both on electrons/holes, and other quasi-particles such as excitons, polaritons, etc. Usually the active part of a device which needs a more elaborate and careful treatment is small compared to the overall simulation domain. The computational cost of the more accurate model however forbids its application to the whole domain, especially when using atomistic approaches. TIBERCAD implements the following physical models: (a) A structural model that allows to calculate strain and shape deformation of lattice mismatched heterostructures based on linear elasticity theory of solids, assuming pseudomorphic interfaces between different materials [2]. External mechanical forces can be included in the simulation. (b) Quantum-mechanical models to calculate eigenstates of confined particles based on the envelope function approximation including single-band and multiband k . p approach. We solve a stationary Schrodinger equation and obtain energy spectrum, particle density and probabilities of optical transitions [3]. (c) Semi-classical transport models that consider electrons, holes and excitons. Transport is treated in the drift-diffusion approximation. The electrochemical potentials are used as dependent variables such that the particle flux is equal to the gradient of a driving potential multiplied by a particle conductivity: φ
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