Quantum field theory of metallic spin glasses

Details Quantum field theory of metallic spin glasses Quantum field theory of metallic spin glasses

1995-04-11

arxiv.org/abs/cond-mat/9504036v2

Physical Review B 52, 10286 (1995)

Physics

Condensed Matter

16 pages, REVTEX 3.0, 2 postscript figures; version contains reference to related work in cond-mat/9504120

Scientific paper

10.1103/PhysRevB.52.10286

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a perturbative renormalization-group study and find that the critical properties are dominated by static disorder-induced fluctuations, and that dynamic quantum-mechanical effects are dangerously irrelevant. A Gaussian fixed point is stable for a finite range of couplings for spatial dimensionality $d > 8$, but disorder effects always lead to runaway flows to strong coupling for $d \leq 8$. Scaling hypotheses for a {\em static\/} strong-coupling critical field theory are proposed. The non-linear susceptibility has an anomalously weak singularity at such a critical point. Although motivated by a perturbative study of metallic spin glasses, the scaling hypotheses are more general, and could apply to other quantum spin glass to paramagnet transitions.

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