Mean-field solution of the continuum Fröhlich problem at finite temperature
A. A. Eremko
Phys. Rev. B 50, 5160 (1994) - Published 15 August, 1994
The temperature behavior of the charge-density-wave (CDW) state in one-dimensional conductors is studied within the framework of a mean-field approach using the exact solution of the self-consistent equations. The properties of the CDW condensate are found to be dependent on the value of the dimensionless parameter which includes an electron-phonon coupling constant and the density of electrons. The thermal behavior of the CDW is shown to be similar to that of the Bardeen-Cooper-Schrieffer (BCS) superconducting condensate only at sufficiently weak electron-phonon coupling or relatively high electron density. In the case of comparatively strong coupling or sufficiently low electron density, the correct mean-field consideration leads to violation of the BCS relation between the phase transition temperature and electronic gap at T=0, and also to a variation of the CDW period, which decreases with increasing temperature.