English

Scaling approach to itinerant quantum critical points

Strongly Correlated Electrons 2009-11-07 v3

Abstract

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=3d=3, in spite of the spin fluid being above its upper critical dimension.

Keywords

Cite

@article{arxiv.cond-mat/0210208,
  title  = {Scaling approach to itinerant quantum critical points},
  author = {C. Pepin and J. Rech and R. Ramazashvili},
  journal= {arXiv preprint arXiv:cond-mat/0210208},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T10:42:09.620Z