Particle-in-a-bos model of one-dimensional excitons in conjugated polymers

被引:29
作者
Pedersen, TG
Johansen, PM
Pedersen, HC
机构
[1] Univ Aalborg, Inst Phys, DK-9220 Aalborg, Denmark
[2] Riso Natl Lab, Opt & Fluid Dynam Dept, DK-4000 Roskilde, Denmark
来源
PHYSICAL REVIEW B | 2000年 / 61卷 / 15期
关键词
D O I
10.1103/PhysRevB.61.10504
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A simple two-particle model of excitons in conjugated polymers is proposed as an alternative to usual highly computationally demanding quantum chemical methods. In the two-particle model, the exciton is described as an electron-hole pair interacting via Coulomb forces and confined to the polymer backbone by rigid walls. Furthermore, by integrating out the transverse part, the two-particle equation is reduced to one-dimensional form. It is demonstrated how essentially exact solutions are obtained in the cases of short and long conjugation length, respectively. From a linear combination of these cases an approximate solution for the general case is obtained. As an application of the model the influence of a static electric field on the electron-hole overlap integral and exciton energy is considered.
引用
收藏
页码:10504 / 10510
页数:7
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