On the static conductivity of one-dimensional disordered systems

Yu. A. Bychkov


Abstract: It is shown that if a one-dimensional disordered system is ergodie (conditions formulated below), the characteristic flmctions determining the conductivity have properties such that $\sigma(\omega)=0$ for $\omega=0$ ($\omega$ is the frequency of the external electric field). The connection between diffusion and the frequency dependence $\sigma(\omega)$ is investigated. Some questions associated with the density of energy levels in a random one-dimensional system are considered briefly.

Received: 28.03.1975

 English version: Theoretical and Mathematical Physics, 1976, 27:1, 376–379

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