弯曲纳米棒中的电子输运

Electron transport in curved nanorod

研究了弯曲纳米棒中的电子输运行为.应用Serret-Frenet移动坐标系,借助微分几何运算,将问题转化为线性纳米棒中电子在有效势中的散射.在小曲率情况下,采用一级波恩近似,得到了散射矩阵和总透射系数的解析表达式.结果表明,透射系数随入射电子能量呈现振荡行为.透射系数与曲率的4次幂成正比,表明曲率显著影响电子输运性质.这对纳米力学和纳米电子器件研究有潜在的应用价值.

Electron transport in a curved nanorod is studied. By setting up a Serret-Frenet parallel moving coordinate system, the differential geometry is employed to transform the problem into electron scattering via an effective potential defined along the linear nanorod. In the small curvature condition, the first order Born approximation is used to obtain the analytical expression of the transmission coefficient. The result shows that the transmission coefficient oscillates with the variation of the electron energy, which clearly indicates a quantum interference due to bending. The transmission coefficient is proportional to the 4-th order power of the curvature, which implies that the curvature has a very strong influence on the electron transport. The result has potential application in nano-mechanics and nano-electron devices.