Quantum effects on the phonon excitations of the Su-Schrieffer-Heeger model

C. Q. Wu, X. Sun, Y. Kawazoe

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1165-1166
Number of pages2
JournalSynthetic Metals
Volume85
Issue number1-3
Publication statusPublished - 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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    Wu, C. Q., Sun, X., & Kawazoe, Y. (1997). Quantum effects on the phonon excitations of the Su-Schrieffer-Heeger model. Synthetic Metals, 85(1-3), 1165-1166.