论文标题
准周期散射器的能源带工程通过准1D限制
Energy Band Engineering of Periodic Scatterers by Quasi-1D Confinement
论文作者
论文摘要
通过考虑形成线性晶格的一系列周期性散射链，提出了一种修改能带结构的机制，沿着链轴沿链轴施加了外部圆柱捕获势。当这种捕获（限制）电势足够紧时，它可能会改变晶格电位的结合和散射状态，其在每个散射中心周围的三维性质都被充分考虑了，并且不诉诸于零范围的伪电势。由于这些状态有助于能量带的形成，因此可以通过操纵限制而无需改变晶格电位来连续调节这样的频段。特别是，通过量子限制降低这种维度可以缩小在中心或动量K空间边缘的带隙。
A mechanism to modify the energy band structure is proposed by considering a chain of periodic scatterers forming a linear lattice around which an external cylindrical trapping potential is applied along the chain axis. When this trapping (confining) potential is tight enough, it may modify the bound and scattering states of the lattice potential, whose three-dimensional nature around each scattering center is fully taken into account and not resorting to zero-range pseudo-potentials. Since these states contribute to the formation of the energy bands, such bands could thereby be continuously tuned by manipulating the confinement without the need to change the lattice potential. In particular, such dimensionality reduction by quantum confinement can close band gaps either at the center or at the edge of the momentum k-space.
