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

References in corpus (11)

• Interaction corrections at intermediate temperatures: I. Longitudinal conductivity and kinetic equation
• Metamagnetism and critical fluctuations in high quality single crystals of the bilayer ruthenate Sr3Ru2O7
• Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point
• Quantum Phase Transitions in the Itinerant Ferromagnet ZrZn${}_2$
• Interaction effects and phase relaxation in disordered systems
• Nonanalytic behavior of the spin susceptibility in clean Fermi systems
• Quantum-critical behavior of itinerant ferromagnets
• Quantum critical behavior in disordered itinerant ferromagnets: Logarithmic corrections to scaling
• Logarithmic Temperature Dependence of Conductivity at Half Filled Landau Level
• On the residual resistivity near a two dimensional metamagnetic quantum critical point
• Quantum corrections to the conductivity of fermion - gauge field models: Application to half filled Landau level and high-$T_c$ superconductors

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