Effects of the Van Hove singularities on magnetism and superconductivity in the t-t' Hubbard model: a parquet approach

Physics – Condensed Matter – Strongly Correlated Electrons

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23 pages, RevTeX, 9 figures; additional information can be found at http://www.imp.uran.ru/KTM_LAB/Katanin; the paper will be

Scientific paper

10.1103/PhysRevB.64.165107

The t-t' Hubbard model for the Fermi level near the Van Hove singularity is considered within the renormalization group and parquet approaches. The interplay of ferromagnetic, antiferromagnetic, and superconducting channels is investigated, and the phase diagram of the model is constructed. In comparison with previous approaches, the account of ferromagnetic fluctuations suppresses superconducting pairing and, vice versa, the influence of the Cooper channel decreases the Curie temperature, so that the Stoner criterion is inapplicable even qualitatively.

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