T. Vojta, D. Belitz, R. Narayanan, T. R. Kirkpatrick
Published 1995-10-25, updated 1997-04-10Version 4
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 $1<d\leq 3$ dimensions, which is determined exactly.
Comments: 4 pp., REVTeX, no figs, final version as published
Journal: Europhys. Lett. vol. 36, pp. 191-196 (1996)
Breakdown of the perturbative renormalization group at certain quantum critical points
Quantum Phase Transitions in the Bosonic Single-Impurity Anderson Model
Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz
