Positive Magneto-Resistance in Quasi-1D Conductors

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We present here a simple qualitative model that interpolates between the high and low temperature properties of quasi-1D conductors. At high temperatures we argue that transport is governed by inelastic scattering whereas at low temperatures the conductance decays exponentially with the electron dephasing length. The crossover between these regimes occurs at the temperature at which the elastic and inelastic scattering times become equal. This model is shown to be in quantitative agreement with the organic conductor TTT₂I₃₋δ. Within this model, we also show that on the insulating side, the positive magnetoresistance of the form (H/T)² observed in TTT₂I₃₋δ and other quasi-1D conductors can be explained by the role spin-flip scattering plays in the electron dephasing rate.