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

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

1995-10-25

arxiv.org/abs/cond-mat/9510146v4

Europhys. Lett. vol. 36, pp. 191-196 (1996)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1209/epl/i1996-00208-x

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

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