Weakly correlated electrons on a square lattice: a renormalization group theory

Physics – Condensed Matter – Superconductivity

Scientific paper

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12 pages, REVTEX, 3 figures included, submitted to Phys. Rev. Lett

Scientific paper

10.1209/epl/i1998-00462-x

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

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