Abstract
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.
Original language | English |
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Journal | Physical Review B Condensed Matter |
Volume | 61 |
Issue number | 15 |
Pages (from-to) | 10504-10510 |
ISSN | 0163-1829 |
DOIs | |
Publication status | Published - 2000 |