Localization effects and dispersion of the dielectric response function in one-dimensional metals

We report the results of calculations and analysis concerning the dependence of the dielectric response function(, q) on frequency and wave numberq in one-dimensional conductors. The localization of electron states leads to unusually complicated dependences of(, q) on andq in low-frequency and long-wavelength regions, while the spatial and time dispersions become closely interwoven with each other. The effect of geometric resonance is discussed. It appears as quasiharmonical oscillations of complex susceptibility as function of andq, owing to the hopping nature of electron conductivity in a nonuniform electromagnetic field.