Breakdown of Landau-Ginzburg-Wilson theory for certain quantum phase transitions
Department of Physics and Materials Science Institute, University of Oregon,
Eugene, OR 97403, USA
2 Institute for Physical Science and Technology, and Department of Physics, University of Maryland - College Park, MD 20742, USA
Accepted: 10 September 1996
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 . It leads to unusual scaling behavior at the quantum critical point in dimensions, which is determined exactly.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 75.10.Jm – Quantized spin models / 75.40.-s – Critical-point effects, specific heats, short-range order
© EDP Sciences, 1996