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arxiv: cond-mat/0109392 · v1 · submitted 2001-09-21 · ❄️ cond-mat.str-el · cond-mat.supr-con

Magnetic and superconducting instabilities of the Hubbard model at the van Hove filling

classification ❄️ cond-mat.str-el cond-mat.supr-con
keywords fillinghoveflowhubbardinstabilitiesmagneticmodelpairing
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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 t'_c approx. -0.33t, suggesting a quantum critical point between d-wave pairing at moderate t'>t'_c and ferromagnetism for t'<t'_c. Upon increasing the particle density in the latter regime the leading instability occurs in the triplet pairing channel.

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