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Abstract
The many-body Monte-Carlo method is used to evaluate the frequency dependent conductivity and mobility per carrier of a systems of electronic hopping charges moving on a one-dimensional chain or channel of finite length representing a discotic liquid crystal column. The concentration of charge N is varied using an imaginary gate electrode. In the liquid crystalline phase, we find that the electron-electron interaction reduces the mobility monotonically with density. Electron-electron interactions without disorder on the column only produce a weakly frequency dependent mobility. However, when interactions are combined with an injection barrier or intrinsic disorder, the free volume is reduced and the effects of disorder are amplified by interactions.