Continuum Version for the PPP Model of Polyacetylene and Other Half-Filled Peierls Systems : Condensed Matter and Statistical Physics

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概要

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• A continuum version is developed for the Pariser-Parr-Pople (PPP) model of polyacetylene which includes both the on-site and different site Coulomb interactions. A continuum SCF equation for π electronic and lattice structures is obtained in the approximation to take into account the terms up to 0(a^2) in the expansion by the lattice constant a. The SCF equation contains four gap parameters, spin dependent SCF potential and Fermi velocity which are slowly varying functions of position and depend on the Coulomb interaction. The weak coupling limit approximation which includes only the terms up to 0(a) is insufficient both qualitatively and quantitatively. When the lowest correction to the weak coupling limit is taken into account, the average bond order, the effective Fermi velocity and the effective coupling constants are renormalized to have reasonable values. In this approximation, however, only the SCF solutions with one non-vanishing gap parameter are possible. Inclusion of further correction term gives the SCF solutions with coexistence of two non-vanishing gap parameters.Solitons in the PPP model are not pure amplitude solitons but amplitude-phase solitons. A soliton in the PPP model can be approximated as a phase soliton when the long range part of the Coulomb interaction is screened. The analytical expressions for neutral and charged solitons are obtained in the phase soliton approximation. The solitons connecting the SCF states with two gap parameters can have a fractional charge or a fractional spin.

• 理論物理学刊行会の論文
• 1985-01-25

著者

• FUKUTOME Hideo

  Department of Physics, Kyoto University

• Fukutome Hideo

  Department Of Physics Faculty Of Science Kyoto University

• Sasai M

  Inst. Molecular Science Okazaki

• Sasai Masaki

  Department Of Applied Physics Nagoya University

• Sasai Masaki

  Department Of Applied Physics Grad. Sch. Of Engineering Nagoya University

• SASAI Masaki

  Institute for Molecular Science

• SASAI Masaki

  Department of Physics, Kyoto University

• FUKUTOME Hideo

  Department of Physics, Faculty of Science, Kyoto University

• FUKUTOME Hideo

  Department of Physics, Kyoto Unversity

• FUKUTOME Hideo

  Deoartment of Physics, Kyoto University

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