论文标题
纳米级电路对模式锁定激光的响应的一致分析解决方案
Consistent analytical solution for the response of a nanoscale circuit to a mode-locked laser
论文作者
论文摘要
现在,解决Schrödinger方程来估计指定电位的两个电极之间的隧穿电流,或者通过假设存在事件,反射和透射波,是常见的做法。但是,这两种方法可能不适用于使用纳米级电路的应用。需要一种新的方法,因为无电子的无人体路径可能长达68.2 nm,因此波函数可能在整个纳米级电路中可能是连贯的。我们定义了几种用于确定具有不同电路参数集的特征值的算法,从而证明了纳米级电路一致的解决方案。我们还提出了另一种用于确定纳米级电路的完整解决方案的算法。所有这些都是仅使用Schrödinger方程的分析解决方案完成的。
It is now common practice to solve the Schrödinger equation to estimate the tunneling current between two electrodes at specified potentials, or the transmission through a potential barrier by assuming that there is an incident, reflected, and transmitted wave. However, these two approaches may not be appropriate for applications with nanoscale circuits. A new approach is required because the electron man-free path may be as long as 68.2 nm in metals so it is possible that the wavefunction may be coherent throughout a nanoscale circuit. We define several algorithms for determining the eigenvalues with different sets of the circuit parameters, thus demonstrating the existence of consistent solutions for nanoscale circuits. We also present another algorithm that is being applied to determine the full solution for nanoscale circuits. All of this is done using only analytical solutions of the Schrödinger equation.