周期性散射体的准一维约束能带工程
Energy Band Engineering of Periodic Scatterers by Quasi-1D Confinement
摘要：
提出了一种修改能量能带结构的机制，通过考虑形成线性晶格的周期性散射体链，围绕该链轴施加外部圆柱形捕获势。当这个捕获（限制）势足够紧时，它可以修改晶格势的束缚态和散射态，其围绕每个散射中心的三维性质被充分考虑，而不是求助于零程赝势。由于这些状态有助于能带的形成，因此可以通过操纵限制而不需要改变晶格势来连续地调谐这些能带。特别地，通过量子限制的这种维数降低可以在动量k空间的中心或边缘处关闭带隙。
英文摘要：
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.
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