Phonon dispersion and electron-phonon interaction in peanut-shaped fullerene polymers

Details Phonon dispersion and electron-phonon interaction in peanut-shaped fullerene polymers Phonon dispersion and electron-phonon interaction in peanut-shaped fullerene polymers

2011-03-04

arxiv.org/abs/1103.0810v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 8 figures

Scientific paper

We reveal that the periodic radius modulation peculiar to one-dimensional (1D) peanut-shaped fullerene (C$_{60}$) polymers exerts a strong influence on their low-frequency phonon states and their interactions with mobile electrons. The continuum approximation is employed to show the zone-folding of phonon dispersion curves, which leads to fast relaxation of a radial breathing mode in the 1D C$_{60}$ polymers. We also formulate the electron-phonon interaction along the deformation potential theory, demonstrating that only a few set of electron and phonon modes yields a significant magnitude of the interaction relevant to the low-temperature physics of the system. The latter finding gives an important implication for the possible Peierls instability of the C$_{60}$ polymers suggested in the earlier experiment.

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