1999/06/01 by Minzhong Xu, Xin Sun
Chemistry · Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Photochemistry and Electron Transfer Studies #Spectroscopy and Quantum Chemical Studies #cond-mat.str-el #physics.optics
paper · pdf · doi:10.1103/physrevb.61.15766
published as Phys. Rev. B 61, 15766 (2000) · 10 pages, 4 figures, submitted to Phys. Rev. B
arxiv created 1999/06/01 · openalex publication_date 2000/06/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The analytical solutions of the third-harmonic generation (THG) for infinite chains under both Su-Shrieffer-Heeger and Takayama-Lin-Liu-Maki model 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 (J0J0) correlation or under polarization operator \mathrmP\ifmmode \else \\fi with the same initial distribution functions. Physical backgrounds for those differences are analyzed qualitatively. The van Hove singularity disappears exactly in analytical forms under DD correlation, showing that the experimentally observed two-photon absorption peak (TPA) in THG cannot be directly explained by the single-electron models. Our analytical results on TPA are consistent with numerical computations using dipole formulas.