Pre-asymptotic critical behavior and effective exponents in disordered metallic quantum ferromagnets

Abstract

We determine the pre-asymptotic critical behavior at the quantum ferromagnetic transition in strongly disordered metals. We find that it is given by effective power laws, in contrast to the previously analyzed asymptotic critical behavior, which is valid only in an unobservably small region. The consequences for analyzing experiments are discussed, in particular ways to distinguish between critical behavior and Griffiths-phase effects.

arXiv comment5 pp, 2 figs

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• Demystifying the Holographic Mystique
• Anomalous quantum-critical spin dynamics in YFe2Al10
• The quantum ferromagnetic transition in a clean Kondo lattice is discontinuous
• Hyperscaling analysis of a disorder-induced ferromagnetic quantum critical point in Ni${}_{1-x}$Rh${}_x$ with $x=0.375$
• Anomalous Transport Behavior in Quantum Magnets
• Magnetic properties of binary alloys Ni1-xMox and Ni1-yCuy close to critical concentrations
• Non-Fermi-liquid behavior in a ferromagnetic heavy fermion system CeTi${}_{1-x}$V${}_x$Ge${}_3$