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在肖特基势垒型的碳纳米管场效应管半经典模型中,通常采用WKB(Wentzel-Kramers-Brillouin)近似法求解透射系数,对所有经典转折点复杂的动量-位置关系进行积分,导致运算量巨大。通过研究透射系数的数值计算模型,给出了不同电压下的能带变化情况,分析了z轴方向动量-位置关系式,并进行线性拟合,以拟合值代替原来的积分式,简化了透射系数的求解过程。将基于该算法的模型与半经典模型进行仿真比较,发现两种模型的电压传输特性曲线相似度较高,可见模型精度较好。同时对模型的运行时间进行测试,模型的运算时间约为传统半经典算法的1/20,表明所建模型有效降低了运算量。
In the semi-classical model of Schottky barrier-type carbon nanotube FETs, the WKB (Wentzel-Kramers-Brillouin) approximation method is usually used to solve the transmission coefficient and to integrate the complex momentum-position relationships of all classical turning points, Huge amount. By studying the numerical model of transmission coefficient, the change of energy band under different voltage is given. The momentum-position relationship in the z-axis direction is analyzed and linearly fitted. The fitting value is substituted for the original integral equation, which simplifies Transmission coefficient of the solving process. The model based on this algorithm is compared with the semi-classical model. It is found that the similarity of the voltage transmission characteristic curves of the two models is high, showing that the model accuracy is better. At the same time, the running time of the model is tested. The computation time of the model is about 1/20 of that of the traditional semi-classical algorithm, which shows that the proposed model effectively reduces the computational complexity.