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

Shidong Jiang, Minzhong Xu

cond-mat.softarXiv:cond-mat/0604375

Abstract

The second hyperpolarizability γN(-3ωω,ω,ω) 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 γN. Our study shows that γN/N is nonmonotonic with N and that the nonmonotonicity is caused by the dominant contribution of the intraband transition to γN in polyenes. Several important physical effects are discussed to reduce quantitative discrepancies between experimental and our results

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