论文标题
各向异性半导体量子线的电子和传输特性
Electronic and transport properties of anisotropic semiconductor quantum wires
论文作者
论文摘要
在有效的质量近似中,我们理论上研究了具有各向异性有效质量的2D半导体量子线(QWS)的电子和传输性能以及相对于各向异性轴的不同方向。分析计算出在不存在外部磁场的情况下的能量水平,显示:(i)强烈依赖于与比对QW角和各向异性轴相关的能级的间距; (ii)对于非磁场,量子霍尔边缘状态受边缘方向的显着影响。此外,通过拆分操作员技术,我们分析了波动和V形各向异性QWS中波袋的时间演变,并将传输概率与各向同性系统的传输概率进行了比较。在各向异性情况下,我们发现沿X和Y方向的速度平均值的振荡在沿X和Y方向的速度平均值中,对于沿直宽QW传播的对称高斯波袋,其振荡在群体速度和动量矢量之间的非明线性中更为明显。
Within the effective-mass approximation, we theoretically investigated the electronic and transport properties of 2D semiconductor quantum wires (QWs) with anisotropic effective masses and different orientations with respect to the anisotropic axis. The energy levels in the absence and presence of an external magnetic field are analytically calculated, showing: (i) a strong dependence on the spacing of energy levels related to the alignment QW angle and the anisotropy axis; and (ii) for non-null magnetic field, the quantum Hall edge states are significantly affected by the edge orientation. Moreover, by means of the split-operator technique, we analyzed the time evolution of wavepackets in straight and V-shaped anisotropic QWs and compared the transmission probabilities with those of isotropic systems. In the anisotropic case we found damped oscillations in the average values of velocity in both x and y directions for a symmetric Gaussian wavepacket propagating along a straight wide QW, with the oscillation being more evident as the non-collinearity between the group velocity and momentum vectors increases.