Interaction Correction of Conductivity Near a Ferromagnetic Quantum Critical Point

Abstract

We calculate the temperature dependence of conductivity due to interaction correction for a disordered itinerant electron system close to a ferromagnetic quantum critical point which occurs due to a spin density wave instability. In the quantum critical regime, the crossover between diffusive and ballistic transport 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 few orders of magnitude smaller than the usual crossover scale $1/\tau$. In the ballistic quantum critical regime, the conductivity has a $T^{(d-1)/3}$ temperature dependence, where $d$ is the dimensionality of the system. In the diffusive quantum critical regime we get $T^{1/4}$ dependence in three dimensions, and ${\ln }^{2}T$ dependence in two dimensions. Away from the quantum critical regime we recover the standard results for a good metal.

15 pages, 8 figures

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