Renormalization group analysis of magnetic and superconducting instabilities near van Hove band fillings

A. A. Katanin and A. P. Kampf
Phys. Rev. B 68, 195101 – Published 3 November 2003
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Abstract

Phase diagrams of the two-dimensional one-band tt Hubbard model are obtained within the two-patch and temperature-cutoff many-patch renormalization group approaches. At small t and at van Hove band fillings antiferromagnetism dominates, while with increasing t or changing filling antiferromagnetism is replaced by d-wave superconductivity. Near t=t/2 and close to van Hove band fillings the system is unstable towards ferromagnetism. Away from van Hove band fillings this ferromagnetic instability is replaced by a region with dominating triplet p-wave superconducting correlations. The results of the renormalization-group approach are compared with the mean-field results and the results of the T-matrix approximation.

  • Received 10 April 2003

DOI:https://doi.org/10.1103/PhysRevB.68.195101

©2003 American Physical Society

Authors & Affiliations

A. A. Katanin1,2 and A. P. Kampf1

  • 1Institut für Physik, Theoretische Physik III, Elektronische Korrelationen und Magnetismus, Universität Augsburg, 86135 Augsburg, Germany
  • 2Institute of Metal Physics, 620219 Ekaterinburg, Russia

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Vol. 68, Iss. 19 — 15 November 2003

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