### Abstract

The quantum effects on the phonon excitations of the one-dimensional Su-Schrieffer-Heeger model with a dimerized lattice are studied in a similar way by treating the σ and π modes in the Hubbard model. The phonon energies are obtained for all values of the ionic mass ranging from the M = 0 (Gross-Neveu model) to the M = ∞ (adiabatic case) limit. In the adiabatic (large M) limit, the phonon spectrum is the same as that of Nakahara and Maki. However, at the Gross-Neveu limit, the frequency of the optical phonon at zero momentum approaches zero : for weak electron-phonon couplings. This result is consistent with the fact that the quantum reduction of the dimerization magnitude is almost 100% at Gross-Neveu limit.

Original language | English |
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Pages (from-to) | 1165-1166 |

Number of pages | 2 |

Journal | Synthetic Metals |

Volume | 85 |

Issue number | 1-3 |

Publication status | Published - 1997 Mar 15 |

### Keywords

- Electron-solid interactions
- Lattice dynamics
- Polyacetylene and derivatives

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Metals and Alloys
- Materials Chemistry

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## Cite this

*Synthetic Metals*,

*85*(1-3), 1165-1166.