Abstract
We calculate the longitudinal-phonon spectrum of an incommensurate charge-density-wave distorted linear chain atT = 0 K. This is done by direct numerical evaluation of the full static-electronic-response matrix. The electronic band structure assumed for this purpose is that of a mean-field theory 1-D Peierls insulator. Our results show how, within this simplified, but self-consistent picture, the phase and amplitude modes connect to, and interact with, the ordinary longitudinal-phonon branch. Effects due to our inclusion of (0, 2kF) scattering along with the usual (−2kF, 2kF) are also pointed out. An alternative approximate expression for the 1-D electronic-response matrix is also given.
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