Quantum numbers and band topology of nanotubes

被引:15
作者
Damnjanovic, M
Milosevic, I
Vukovic, T
Maultzsch, J
机构
[1] Univ Belgrade, Fac Phys, YU-11001 Belgrade, Serbia, Serbia
[2] Tech Univ Berlin, Inst Festkorper Phys, D-10623 Berlin, Germany
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 21期
关键词
D O I
10.1088/0305-4470/36/21/302
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Nanotubes as well as polymers and quasi-ID subsystems of 3D crystals have line group symmetry. This allows two types of quantum numbers: roto-translational and helical. The roto-translational quantum numbers are linear and total angular (not conserved) momenta, while the helical quantum numbers are helical and complementary angular momenta. Their mutual relations determine some topological properties of energy bands, such as systematic band sticking or van Hove singularities related to parities. The importance of these conclusions is illustrated by the optical absorption in carbon nanotubes: parity may prevent absorption peaks at van Hove singularities.
引用
收藏
页码:5707 / 5717
页数:11
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