Magnetic and Superconducting Instabilities of the Hubbard Model at the Van Hove Filling
Carsten Honerkamp, Manfred Salmhofer
DOI 10.1103/PhysRevLett.87.187004 · Physical Review Letters
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Abstract
We use a novel temperature-flow renormalization group technique to analyze magnetic and superconducting instabilities in the two-dimensional t−t′ Hubbard model for particle densities close to the Van Hove filling as a function of the next-nearest-neighbor hopping t′. In the one-loop flow at the Van Hove filling, the characteristic temperature for the flow to strong coupling is suppressed drastically around tc′≈−0.33t, suggesting a quantum critical point between d-wave pairing at moderate t′>tc′ and ferromagnetism for t′<tc′. Upon increasing the particle density in the latter regime, the leading instability occurs in the triplet pairing channel.
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