Influence of correlations of the scattering potential on the localization length in one-dimensional conductors

The localization length of electrons in a one-dimensional conductor is studied as a function of the correlation length $\xi$ of the random field and the forward scattering characteristics. It is shown that under the conditions of a finite $\xi$ forward scattering has a delocalizing influence, and it is also shown that the localizing influence of the random field also becomes weaker as the field becomes more correlated. At large $\xi$, the localization length increases in proportion to $\xi$ but can be either greater than or less than $\xi$ depending on whether the forward scattering is strong or weak.