以時域有限差分法及虛擬吸收邊界層模擬石墨烯之克萊因穿隧效應

Abstract

本論文提出一時域有限差分法來求解描述石墨烯性質的類迪拉克(Dirac-like)方程式，並提出一種虛擬吸收邊界層來降低波函數在石墨烯片邊界的反射。虛擬吸收邊界層的幾個經驗參數透過模擬微調以獲得最低反射量。最後我們模擬石墨烯上的克萊因(Klein)穿隧效應來確認此時域有限差分法以及吸收邊界層的有效性。

The finite-di ffrence time-domain(FDTD) method is applied to solve the Dirac-like equation of a graphene sheet. A virtual absorbing layer (VAL) is proposed to achieve low reflection of wave function at the boundary of a graphene sheet. Empirical parameters are tuned to optimize the performance of the VAL. The Klein tunneling effects on a graphene sheet are simulated to confirm the effectiveness of this FDTD scheme and the VAL.