Abstract
The exact solution of the system of nonlinear equations for Frohlich charge density wave (CDW) in the continuum approximation is discussed, and the temperature behaviour of the CDW condensate is investigated in a framework of the mean-field approximation. It is shown that the CDW representation in the form of a conventional harmonic wave is only correct under certain conditions, namely, not too strong an electron-phonon interaction or not too low an electron density. According to the exact solution, the CDW is essentially a nonlinear wave represented by a harmonic series. This is confirmed by the experimental data on the CDW current oscillation spectra in which the overtones are present together with the principal harmonic (the so called “narrow band noise”). At strong enough electron-phonon coupling or at low enough electron density the CDW wave vector is temperature dependent, and the BCS relation between Peierls transition temperature and energetic gap in the electron spectra at zero temperature is violated.
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