English

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

Strongly Correlated Electrons 2007-05-23 v1 Optics

Abstract

The 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 (DDDD) correlation. They are not equivalent to the results obtained through static current-current (J0J0J_0J_0) correlation or under polarization operator P^\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.

Keywords

Cite

@article{arxiv.cond-mat/9906016,
  title  = {Analytical solutions to the third-harmonic generation in trans-polyacetylene: Application of dipole-dipole correlation on the single electron models},
  author = {Minzhong Xu and Xin Sun},
  journal= {arXiv preprint arXiv:cond-mat/9906016},
  year   = {2007}
}

Comments

10 pages, 4 figures, submitted to Phys. Rev. B