Quantum Correction to Conductivity Close to Ferromagnetic Quantum   Critical Point in Two Dimensions
  We study the temperature dependence of the conductivity due to quantum interference processes for a two-dimensional disordered itinerant electron system close to a ferromagnetic quantum critical point. Near the quantum critical point, the cross-over between diffusive and ballistic regimes of quantum interference effects occurs at a temperature $ T^{\ast}=1/\tau \gamma (E_{F}\tau)^{2}$, where $\gamma $ is the parameter associated with the Landau damping of the spin fluctuations, $\tau $ is the impurity scattering time, and $E_{F}$ is the Fermi energy. For a generic choice of parameters, $T^{\ast}$ is smaller than the nominal crossover scale $1/\tau $. In the ballistic quantum critical regime, the conductivity behaves as $T^{1/3}$. 
I. Paul, C. P\'epin, B. N. Narozhny, and D. L. Maslov