Carbon nanotubes band assignation, topology, Bloch states, and selection rules
Carbon nanotubes band assignation, topology, Bloch states, and selection rules
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碳纳米管能带分配、拓扑、布洛赫态和选择规则
DOI：
10.1103/physrevb.65.045418
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发表时间：
2001
影响因子：
3.7
通讯作者：
M. Damnjanović
中科院分区：
文献类型：
--
作者：
T. Vuković;I. Milošević;M. Damnjanović
能带结构的各种性质-电子，声子等！，包括系统的能带简并性、粘着性和极端性。完整的量子数集合由相对于U轴的角向和线性准动量和宇称组成，对于非手性管，还包括镜像平面。对电子能带进行了归属，导出了适用于广义布洛赫对称性的本征函数。最重要的物理张量由量子数表征。所有这些都使得所提出的穷举选择规则的应用成为可能。并通过一些实例对结果进行了讨论，允许的带间跃迁、电导率、拉曼张量等。
Various properties of the energy band structures ~electronic, phonon, etc.!, including systematic band degeneracy, sticking and extremes, following from the full line group symmetry of the single-wall carbon nanotubes are established. The complete set of quantum numbers consists of the angular and linear quasimomenta and parities with respect to the U axis and, for achiral tubes, the mirror planes. The assignation of the electronic bands is performed, and the generalized Bloch symmetry adapted eigen functions are derived. The most important physical tensors are characterized by the quantum numbers. All this enables application of the presented exhaustive selection rules. The results are discussed by some examples, e.g., allowed interband transitions, conductivity, Raman tensor, etc.