Weakly correlated electrons on a square lattice: a renormalization group theory
Abstract
We study the weakly interacting Hubbard model on the square lattice using a one-loop renormalization group approach. The transition temperature Tc between the metallic and (nearly) ordered states is found. In the parquet regime, (Tc >> |mu|), the dominant correlations at temperatures below Tc are antiferromagnetic while in the BCS regime (Tc << |mu|) at Tc the d-wave singlet pairing susceptibility is most divergent.
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