Scaling approach to itinerant quantum critical points

Details Scaling approach to itinerant quantum critical points Scaling approach to itinerant quantum critical points

2002-10-09

arxiv.org/abs/cond-mat/0210208v3

Phys. Rev. B 69, 172401 (2004).

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 2 figures; discussion of the phase space restriction modified and, for illustrative purposes, restricted to the tree-

Scientific paper

10.1103/PhysRevB.69.172401

Based on phase space arguments, we develop a simple approach to metallic quantum critical points, designed to study the problem without integrating the fermions out of the partition function. The method is applied to the spin-fermion model of a T=0 ferromagnetic transition. Stability criteria for the conduction and the spin fluids are derived by scaling at the tree level. We conclude that anomalous exponents may be generated for the fermion self-energy and the spin-spin correlation functions below $d=3$, in spite of the spin fluid being above its upper critical dimension.

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