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• W1522389968 startingPage "2388" @default.
• W1522389968 abstract "Solitons in a one-dimensional charge-density-wave system with half-filled electron bands are studied theoretically with a continuum model. This model is a continuum version of the one of polyacetylene recently considered by Su, Schrieffer, and Heeger (SSH). We have analyzed a variational solution with the displacement order parameter $ensuremath{Delta}(x)={ensuremath{Delta}}_{0}tanh(frac{x}{ensuremath{xi}})$ with $ensuremath{xi}$ as a variational parameter. It is shown within the weak-coupling limit that the soliton (creation) energy takes the minimum value $(frac{2}{ensuremath{pi}}){ensuremath{Delta}}_{0}$ with $ensuremath{xi}=frac{ensuremath{hbar}{v}_{F}}{{ensuremath{Delta}}_{0}}$, where $2{ensuremath{Delta}}_{0}$ and ${v}_{F}$ are the dimerization energy gap and the Fermi velocity, respectively. These results agree quite well with numerical results by SSH for the discrete system. Furthermore, we show that the above $ensuremath{Delta}(x)$ is an exact solution of the self-consistent Bogoliubov-de Gennes equation." @default.
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• W1522389968 date "1980-03-15" @default.
• W1522389968 modified "2023-10-01" @default.
• W1522389968 title "Continuum model for solitons in polyacetylene" @default.
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• W1522389968 doi "https://doi.org/10.1103/physrevb.21.2388" @default.
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