## 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 language | English (US) |
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Pages (from-to) | 16151-16158 |

Number of pages | 8 |

Journal | Physical Review B |

Volume | 51 |

Issue number | 22 |

DOIs | |

State | Published - Jan 1 1995 |

## All Science Journal Classification (ASJC) codes

- Condensed Matter Physics