Quantum critical behavior of clean itinerant ferromagnets

Details Quantum critical behavior of clean itinerant ferromagnets Quantum critical behavior of clean itinerant ferromagnets

1996-12-24

arxiv.org/abs/cond-mat/9612224v2

Z. Phys. B vol. 103, pp. 451-461 (1997)

Physics

Condensed Matter

Statistical Mechanics

13 pp., REVTeX, psfig, 3 eps figs, final version as published

Scientific paper

10.1007/s002570050399

We consider the quantum ferromagnetic transition at zero temperature in clean itinerant electron systems. We find that the Landau-Ginzburg-Wilson order parameter field theory breaks down since the electron-electron interaction leads to singular coupling constants in the Landau-Ginzburg-Wilson functional. These couplings generate an effective long-range interaction between the spin or order parameter fluctuations of the form 1/r^{2d-1}, with d the spatial dimension. This leads to unusual scaling behavior at the quantum critical point in 1 < d\leq 3, which we determine exactly. We also discuss the quantum-to-classical crossover at small but finite temperatures, which is characterized by the appearance of multiple temperature scales. A comparison with recent results on disordered itinerant ferromagnets is given.

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