Critical behavior of the uniform susceptibility of a Fermi liquid near an antiferromagnetic transition with dynamic exponent z=2
Abstract
We compute the leading behavior of the uniform magnetic susceptibility χ of a Fermi liquid near an antiferromagnetic transition with dynamic exponent z=2. Our calculation clarifies the role of triangular ``anomaly'' graphs in the theory and justifies the effective action used in previous work. We find that at the z=2 critical point of a two-dimensional material, limq-->0χ(q,0)=χ0-D'T with χ0 and D' nonuniversal constants. For reasonable band structures, we find that in a weak-coupling approximation D' is small and positive. Our result suggests that the behavior observed in the quantum critical regime of underdoped high-Tc superconductors are difficult to explain in a purely z=2 theory.
- Publication:
-
Physical Review B
- Pub Date:
- June 1995
- DOI:
- 10.1103/PhysRevB.51.16151
- arXiv:
- arXiv:cond-mat/9411021
- Bibcode:
- 1995PhRvB..5116151I
- Keywords:
-
- 75.10.-b;
- 75.30.Ds;
- 75.30.Kz;
- 76.60.-k;
- General theory and models of magnetic ordering;
- Spin waves;
- Magnetic phase boundaries;
- Nuclear magnetic resonance and relaxation;
- Condensed Matter
- E-Print:
- 12 pages, uuencoded Postscript file