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Zeitschrift für Physik B Condensed Matter
ISSN: 0722-3277 (printed version)
ISSN: 1431-584X (electronic version)
Abstract Volume 103 Issue 2 (1997) pp 339-342
Instabilities of weakly correlated electronic gas on a two dimensional lattice
Drazen Zanchi (1)(2), Heinz J. Schulz (1)
(1) Laboratoire de Physique des Solides, Université Paris-Sud, F-91405 Orsay, France
(2) Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
Abstract. We use the Kadanoff-Wilson renormalization group to find the instabilities of the two dimensional Hubbard model in the weak coupling limit. Starting from the full bandwidth, we reduce the energy cutoff for fermions and derive the low-energy effective action. If the filling is enough far from one half, the effective low-energy theory is BCS and there exists a mean-field like superconducting instability with D-wave order parameter. Close to the half-filling, the effective low-energy theory is parquet and the dominant fluctuations at the critical temperature are antiferromagnetic.
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