Criterion for Peierls instability in quasi-one-dimensional metals
Gabovich A.M., Pashitskii E.A.
The phonon spectrum of a strongly anisotropic quasi-one-dimensional metal is analyzed with allowance for the flexural oscillations of the individual chains, and a criterion is derived for the Peierls instability. It is shown that if the electron-phonon interaction is strong enough, the Peierls transition is "three-dimensional" and of first order. At the same time, a structural second-order phase transition accompanied by a softening of the low-frequency transverse-flexural phonon mode is possible.
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![](/ps/1379/article_20895_800_head.png "The phonon spectrum of a strongly anisotropic quasi-one-dimensional metal is analyzed with allowance for the flexural oscillations of the individual chains, and a criterion is derived for the Peierls instability. It is shown that if the electron-phonon interaction is strong enough, the Peierls transition is "three-dimensional" and of first order. At the same time, a structural second-order phase transition accompanied by a softening of the low-frequency transverse-flexural phonon mode is possible.")