Eilenberger Equations in One Dimensional Peierls Systems with Fractional Charge

Abstract

Eilenberger formalism for superconductivity is applied to conducting polymers. It reproduces the known structures of soliton and polaron, in a straightforward way, for a Peierls chain system in which the half of electron levels are occupied. The continuum model for polyacetylene, by Takayama, Lin-Liu, and Maki, is used. It is, then, applied for the one-third filled case of a Peierls-Froehlich system. For a particular value of coupling strength, we find self-consistent soliton solutions with fractional charges ±2e⁄3. It turns out to be the single soliton limit of the Fischbeck soliton lattice. It is shown that there are no corresponding solutions in the one third filled case of the continuum limit of the Su, Schrieffer, and Heeger model.