Superconducting, Ferromagnetic and Antiferromagnetic Phases in the t-t' Hubbard Model.

We apply a renormalization group approach to the determination of the phase diagram of the t - t ′ Hubbard model at the Van Hove filling, as function of t ′ / t , for small values of U / t . The model presents ferromagnetic, antiferromagnetic and d-wave superconducting phases. Antiferromagnetism and d-wave superconductivity arise from the same interactions, and compete in the same region of parameter space.

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