The analysis on the single particle model of CDW

Details The analysis on the single particle model of CDW The analysis on the single particle model of CDW

2007-02-03

arxiv.org/abs/cond-mat/0702061v2

Physics Letters A 372 (2008) pp. 6443-6447

Physics

Condensed Matter

Strongly Correlated Electrons

This is a version with a physics focus, the part with a mathematical focus is submitted at arXiv:0807.3288

Scientific paper

10.1016/j.physleta.2008.08.055

Gruner put forward a single particle model of charge-density wave, which is a typical nonlinear differential equation, and also a mathematical model of pendulum. This Letter analyzes the solution of equation by the rotated vector fields theory, providing the relation between the applied field E and the periodic solution, and the conclusion that the critical value of E for the periodic solution is fixed in the over-damped situation. With these conclusions, it derives the formulae of nonlinear conductivity, narrow-band noise, which are consistent with the empirical ones given by Fleming.

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