Variational approach to excitons in carbon nanotubes

被引:165
作者
Pedersen, TG [1 ]
机构
[1] Univ Aalborg, Inst Phys, DK-9220 Aalborg, Denmark
来源
PHYSICAL REVIEW B | 2003年 / 67卷 / 07期
关键词
D O I
10.1103/PhysRevB.67.073401
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Excitons in quasi-one-dimensional semiconductors may lower the optical transition energies by a substantial amount. To quantify the effect in carbon nanotubes, we apply a simple variational approach. In excitonic units, a power law with exponent similar to-0.6 is obtained for the binding energy dependence on nanotube radius. When converted to ordinary units, the ratio of binding energy to tight-binding band gap yields a roughly constant value of nearly 40%. This substantial ratio implies that exciton effects are of prime importance for the optical properties of carbon nanotubes.
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页数:4
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