Phase Hamiltonian and depinning electric field in the charge-density wave and the spin-density wave

Abstract
Making use of the phase Hamiltonian derived from microscopic models, we study theoretically the threshold electric field when the charge-density wave (CDW) or the spin-density wave starts sliding. Unlike earlier phenomenological models, we can describe the temperature dependence of the threshold field. Most of experimental results on the threshold field in quasi-one-dimensional CDW’s are interpreted in terms of the three-dimensional CDW. Curious exceptions are the CDW’s in NbSe3, which appear to be described better by the two-dimensional CDW.