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

S. D. Jiang; M. Z. Xu

doi:10.1209/epl/i2006-10332-1

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

S. D. Jiang¹ and M. Z. Xu²

Published 20 October 2006 • 2006 EDP Sciences
EPL (Europhysics Letters), Volume 76, Number 4

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Author e-mails

mx200@nyu.edu

Author affiliations

¹ Department of Mathematical Sciences, New Jersey Institute of Technology Newark, NJ 07102, USA

² Department of Chemistry, New York University - New York, NY 10003, USA

Dates

Received 14 April 2006
In final form 29 September 2006
Accepted 29 September 2006
Published 20 October 2006

Citation

S. D. Jiang and M. Z. Xu 2006 EPL 76 670

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DOI

https://doi.org/10.1209/epl/i2006-10332-1

E-print

http://arxiv.org/abs/epl9660

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Abstract

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

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