Breakdown of Landau-Ginzburg-Wilson theory for certain quantum phase transitions

Abstract

The quantum ferromagnetic transition of itinerant electrons is considered. It is shown that the Landau-Ginzburg-Wilson theory described by Hertz and others breaks down due to a singular coupling between fluctuations of the conserved order parameter. This coupling induces an effective long-range interaction between the spins of the form 1/r^{2d-1}. It leads to unusual scaling behavior at the quantum critical point in $1<d\le 3$ dimensions, which is determined exactly.

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

References in corpus (3)

• Quantum critical behavior of disordered itinerant ferromagnets
• Quantum Phase Transitions and Conserved Charges
• Quantum ferromagnetic transition in disordered itinerant electron systems

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