The Impurity Pinning of a Spin-Density Wave in One-Dimensional Interacting Electron Systems

Abstract

The effect of impurities on a spin-density wave (SDW) state in one-dimensional interacting electron systems is investigated by applying a phase representation and the theory of the weak impurity pinning. With the help of numerical simulation, it is shown that the pinned SDW is characterized by both a rapidly varying phase variable of the spin-density fluctuation and a slowly varying phase variable of the charge-density fluctuation. Based on this, the critical condition on the magnitude of interactions for localization-delocalization transition is determined by use of the self-consistent harmonic approximation.