Quantum Correction to Conductivity Close to Ferromagnetic Quantum Critical Point in Two Dimensions

Abstract

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 $T^{1/3}$.

5 pages, 1 figure