Frequency-Dependent Conductivity of Quasi-One-Dimensional Electronic Conductors

Abstract

For a one-dimensional model system, described by a master equation with random hopping rates W_{n, n+1} ∝ exp(-Δ_{n, n+1}/T), the frequency and temperature dependent electrical conductivity σ(ω, T) is calculated within the framework of an Effective-Medium approximation. Using a specific distribution of barrier heights, for Δ_min < Δ < Δ_max, the model is shown to account quantitatively for the measured (Zettl, Grüner, and Clark) frequency and temperature dependence of Re[sgrave] and Imσ in the quasi-one-dimensional conductor Qn(TCNQ)₂.