Fluctuation-Driven Quantum Phase Transitions in Clean Itinerant Ferromagnets
D. Belitz, T. R. Kirkpatrick
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 ≤ 3. A renormalized mean-field theory predicts a fluctuation-induced first order transition for 1 < d ≤ 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.
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