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We predict that long-range interactions give rise to anisotropy in theelectrical resistivity of Weyl metals at low temperatures, where the electricalresistivity becomes much reduced when electric fields are applied to thedirection of the momentum vector to connect two paired Weyl points. Performingthe renormalization group analysis, we find that the distance between two Weylpoints becomes enhanced logarithmically at low temperatures although thecoupling constant of such interactions vanishes inverse-logarithmically.Considering the Adler-Bell-Jackiw anomaly, scattering between these two Weylpoints becomes suppressed to increase electrical conductivity in the"longitudinal" direction, counter-intuitive in the respect that interactionsare expected to reduce metallicity. We also propose that the anomalouscontribution in the Hall effect shows the logarithmic enhancement as a functionof temperature, originating from the fact that the anomalous Hall coefficientturns out to be proportional to the distance between two paired Weyl points.Correlations with topological constraints allow unexpected and exotic transportproperties.

Interplay between interaction and chiral anomaly: Anisotropy in the electrical resistivity of interacting Weyl metals