Size dependence of second-order hyperpolarizability of finite periodic chain under Su-Schrieffer-Heeger model

Details Size dependence of second-order hyperpolarizability of finite periodic chain under Su-Schrieffer-Heeger model Size dependence of second-order hyperpolarizability of finite periodic chain under Su-Schrieffer-Heeger model

2006-04-14

arxiv.org/abs/cond-mat/0604375v2

Europhys. Lett. 76, 670 (2006)

Physics

Condensed Matter

Soft Condensed Matter

3 figures, 1 table

Scientific paper

10.1209/epl/i2006-10332-1

The second hyperpolarizability $\gamma_N(-3\omega\omega,\omega,\omega)$ of $N$ double-bond finite chain of trans-polyactylene is analyzed using the Su-Schrieffer-Heeger model to explain qualitative features of the size-dependence behavior of $\gamma_N$. Our study shows that $\gamma_N/N$ is {\it nonmonotonic} with $N$ and that the nonmonotonicity is caused by the dominant contribution of the intraband transition to $\gamma_N$ in polyenes. Several important physical effects are discussed to reduce quantitative discrepancies between experimental and our results

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