Analytical solutions to the third-harmonic generation in trans-polyacetylene: Application of dipole-dipole correlation on the single electron models

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dc.creatorXu, Minzhong
dc.creatorSun, Xin
dc.date1999-06-01
dc.date.accessioned2026-07-25T16:20:53Z
dc.descriptionThe analytical solutions for the third-harmonic generation (THG) on infinite chains in both Su-Shrieffer-Heeger (SSH) and Takayama-Lin-Liu-Maki (TLM) models of trans-polyacetylene are obtained through the scheme of dipole-dipole ($DD$) correlation. They are not equivalent to the results obtained through static current-current ($J_0J_0$) correlation or under polarization operator $\hat{P}$. The van Hove singularity disappears exactly in the analytical forms, showing that the experimentally observed two-photon absorption peak (TPA) in THG may not be directly explained by the single electron models.
dc.description10 pages, 4 figures, submitted to Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/9906016
dc.identifierhttp://arxiv.org/abs/cond-mat/9906016
dc.identifierPhys. Rev. B 61, 15766 (2000)
dc.identifierdoi:10.1103/PhysRevB.61.15766
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/40557
dc.subjectStrongly Correlated Electrons
dc.subjectOptics
dc.titleAnalytical solutions to the third-harmonic generation in trans-polyacetylene: Application of dipole-dipole correlation on the single electron models
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