Critical behavior of the uniform susceptibility of a Fermi liquid near an antiferromagnetic transition with dynamic exponent z=2

Lev Ioffe, A. J. Millis

Research output: Contribution to journalArticle

31 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)16151-16158
Number of pages8
JournalPhysical Review B
Volume51
Issue number22
DOIs
StatePublished - Jan 1 1995

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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