Abstract

A new property of the charge collective mode in a 1D electron system is found. In the wave number region close to 2<i>k</i><sub>F</sub> (<i>k</i><sub>F</sub> being the Fermi wave number) the mode frequency goes to zero, showing the soft mode behavior. In addition, the common 1D plasmon spectrum exists in the long-wave region. The soft mode is related to the short-range dynamic electron correlations in 1D and is absent in the systems of higher dimensionality. The dynamic correlations are described adequately in the frame of the Luttinger model.

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