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Simulation of quantum transport in double-gate MOSFETs using the non-equilibrium Green's function formalism in real-space: A comparison of four methods

机译:使用非平衡格林函数形式在真实空间中模拟双栅MOSFET的量子输运:四种方法的比较

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摘要

Quantum effects play an important role in determining the double-gate (DG) MOSFETs characteristics. The non-equilibrium Green's function formalism (NEGF) in real-space (RS) representation provides a rigorous description of quantum transport in nanoscale devices. Unfortunately, the traditional NEGF framework has the disadvantage of being heavy in computations. Methods that reduce the computations exist in the literature like the recursive Green's Function (RGF) algorithm, the contact block reduction (CBR) method, and Gauss elimination (GE) method. Comparison of the simulation time of the traditional NEGF, the RGF algorithm, the CBR method, and the GE method was always theoretical and based on approximate estimates. In this work, we carry out a real comparison between the four methods by implementing them inside the same simulator, using them to simulate the same device dimensions and parameters on the same machine. It is demonstrated that the RGF algorithm or the GE method introduce about one order of magnitude reduction in simulation time below that traditional NEGF, whereas the CBR method yields the smallest simulation time with about two orders of magnitude reduction. Copyright.
机译:量子效应在确定双栅(DG)MOSFET特性中起着重要作用。实空间(RS)表示中的非平衡格林函数形式主义(NEGF)提供了对纳米级设备中量子传输的严格描述。不幸的是,传统的NEGF框架的缺点是计算量大。文献中存在减少计算的方法,例如递归格林函数(RGF)算法,接触块减少(CBR)方法和高斯消除(GE)方法。传统NEGF,RGF算法,CBR方法和GE方法的仿真时间比较始终是理论上的,并且基于近似估计。在这项工作中,我们通过在同一模拟器中实现这四种方法,并使用它们在同一台机器上模拟相同的设备尺寸和参数,对这四种方法进行了真实的比较。结果表明,与传统的NEGF相比,RGF算法或GE方法的仿真时间减少了大约一个数量级,而CBR方法产生的仿真时间最小,减少了大约两个数量级。版权。

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