Abstract
We report the results of calculations and analysis concerning the dependence of the dielectric response functionɛ(ω, q) on frequencyω and wave numberq in one-dimensional conductors. The localization of electron states leads to unusually complicated dependences ofɛ(ω, q) on ω 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 ofω andq, owing to the hopping nature of electron conductivity in a nonuniform electromagnetic field.
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Kaner, É.A., Chebotarev, L.V. Localization effects and dispersion of the dielectric response function in one-dimensional metals. J Stat Phys 38, 77–87 (1985). https://doi.org/10.1007/BF01017849
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DOI: https://doi.org/10.1007/BF01017849