Fluctuation-Driven Quantum Phase Transitions in Clean Itinerant Ferromagnets

Abstract

The quantum phase transition in clean itinerant ferromagnets is analyzed. It is shown that soft particle-hole modes invalidate Hertz's mean-field theory for $d\le 3$. A renormalized mean-field theory predicts a fluctuation-induced first order transition for $1<d\le 3$, whose stability is analyzed by renormalization group techniques. Depending on microscopic parameter values, the first order transition can be stable, or be pre-empted by a fluctuation-induced second order transition. The critical behavior at the latter is determined. The results are in agreement with recent experiments.

4 pp., REVTeX, no figs; final version as published

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