论文标题
研究使用$ \ mathbf {k} \ cdot \ mathbf {p} $方法的量子点中从共振到绑定状态的过渡
Study of the transition from resonance to bound states in quantum dots embedded on a nanowire using the $\mathbf{k}\cdot\mathbf{p}$ method
论文作者
论文摘要
我们研究了半导体纳米线的带结构，其中嵌入了量子点。使用Rayleigh-Ritz变分方法计算带结构。我们考虑了两种不同类型的量子点，一种类型是由应用于纳米线的静电电势定义的，而另一个类型是通过添加带有带偏移的材料的材料来定义的。我们对传统带和纳米结构的价带之间的离散能级以及这些水平的能量的依赖性以及沿线施加的磁场的强度的依赖性特别感兴趣。结果表明，几种情况是可能的，特别是将离散状态转化为共振的可能性，反之亦然。
We study the band structure of semiconductor nanowires with quantum dots embedded in them. The band structure is calculated using the Rayleigh-Ritz variational method. We consider quantum dots of two different types, one type is defined by electrostatic potentials applied to the nanowire, while the other one is defined by adding materials with band offsets with respect to the band parameters of the nanowire. We are particularly interested in the appearance of discrete energy levels in the gap between the conduction band and the valence band of the nanostructure, and in the dependence of the energy of these levels with the intensity of a magnetic field applied along the wire. It is shown that several scenarios are possible, being of particular interest the possibility of transforming states of the discrete into resonances and vice versa.
