非对称方势垒量子隧穿研究及其数值模拟

Study and numerical simulation for quantum tunneling characteristics in asymmetric potential barrier

为解决传统量子力学方法在研究非对称双势垒问题上计算过于繁琐的问题,利用转移矩阵的方法分别研究了电子对于非对称单势垒和非对称双势垒的量子隧穿特性,对两种情况分别得出了简洁的透射率公式.数值计算结果表明,在合适的参数下,单、双结结构都表现出良好的电导开关效应,且在入射电子能量大于势垒高度时,透射系数呈现显著的周期变化的量子振荡效应,这些结果对相关电子器件的研发提供一定的参考价值.

The quantum mechanical method for the asymmetric double-barrier problem is too complicated to calculate,we study quantum tunneling characteristics of electron in both asymmetric single-potential barrier and double-barrier structures by using the transfer matrix method.The simple formula of transmission rate are obtained for two cases.The numerical results show that good conductivity switching effect appears in both single-barrier and double-barrier structures under the appropriate parameters.It is also shown that the transmission coefficient appears quantum oscillation if the incident electron energy is greater than the barrier height.We hope that the present results can provide reference value for R D in electronic devices.