Quantum critical behavior in disordered itinerant ferromagnets: Logarithmic corrections to scaling

Abstract

The quantum critical behavior of disordered itinerant ferromagnets is determined exactly by solving a recently developed effective field theory. It is shown that there are logarithmic corrections to a previous calculation of the critical behavior, and that the exact critical behavior coincides with that found earlier for a phase transition of undetermined nature in disordered interacting electron systems. This confirms a previous suggestion that the unspecified transition should be identified with the ferromagnetic transition. The behavior of the conductivity, the tunneling density of states, and the phase and quasiparticle relaxation rates across the ferromagnetic transition is also calculated.

15pp., REVTeX, 8 eps figs, final version as published

References in corpus (6)

• First order transitions and multicritical points in weak itinerant ferromagnets
• Properties of spin-triplet, even-parity superconductors
• Local field theory for disordered itinerant quantum ferromagnets
• Theory of Disordered Itinerant Ferromagnets I: Metallic Phase
• Non-perturbative saddle point for the effective action of disordered and interacting electrons in 2D
• Transport Anomalies and Marginal Fermi-Liquid Effects at a Quantum Critical Point

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• Quantum Critical Behavior in Disordered Itinerant Ferromagnets: Instability of the Ferromagnetic Phase
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