title: Analytic structure of one-dimensional localization theory: Re-examining Mott's Law
abstract: It is argued that the behavior of two-particle correlation functions for a one-dimensional system of disordered electrons is not only governed by the localization length, l, but also involves a dynamical characteristic length, lln(1/omega). This is shown to be consistent with spectral properties of the underlying Heun-type operator. One consequence of this fact is that the Mott law for the low-frequency electrical conductivity should be amended to Resigma(omega) approximately omega(2)ln (3)(1/omega).
authors.affiliation: Department of Mathematics, Imperial College, 180 Queen's Gate, London SW7 2BZ, United Kingdom.
authors.initials: AO
authors.lastname: Gogolin