We present a stability analysis of the 2D t--t' Hubbard model on a square lattice for t'=-t/6. We find possible phases of the model (d-wave Pomeranchuk and superconducting states, band splitting, singlet and triplet flux phases), and study the interplay of them.
PACS numbers: 71.10.Fd, 71.27.+a, 74.20.--z, 74.20.Rp
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