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

Abstract

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

3 figures, 1 table

References in corpus (2)

• Hyperpolarizabilities for the one-dimensional infinite single-electron periodic systems: I. Analytical solutions under dipole-dipole correlations
• Zero frequency divergence and gauge phase factor in the optical response theory