Weakly correlated electrons on a square lattice: A renormalization group theory
Laboratoire de Physique des Solides, Université Paris-Sud - 91405 Orsay, France
Institut für Theoretische Physik der Freien Universität Berlin, Arnimallee 14, 14195 Berlin, Germany
Accepted: 3 September 1998
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 , the dominant correlations at temperatures below Tc are antiferromagnetic, while in the BCS regime at Tc the d-wave singlet pairing susceptibility is most divergent.
PACS: 74.20.Mn – Nonconventional mechanisms (spin fluctuations, polarons and bipolarons, resonating valence bond model, anyon mechanism, marginal Fermi liquid, Luttinger liquid, etc.) / 74.25.Dw – Superconductivity phase diagrams / 75.30.Fv – Spin-density waves
© EDP Sciences, 1998