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Renormalization group analysis of magnetic and superconducting instabilities near van Hove band fillings

A. A. Katanin, A. P. Kampf

DOI 10.1103/PhysRevB.68.195101 · Physical Review B

T1

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Abstract

Phase diagrams of the two-dimensional one-band t−t′ Hubbard model are obtained within the two-patch and temperature-cutoff many-patch renormalization group approaches. At small t′ and at van Hove band fillings antiferromagnetism dominates, while with increasing t′ or changing filling antiferromagnetism is replaced by d-wave superconductivity. Near t′=t/2 and close to van Hove band fillings the system is unstable towards ferromagnetism. Away from van Hove band fillings this ferromagnetic instability is replaced by a region with dominating triplet p-wave superconducting correlations. The results of the renormalization-group approach are compared with the mean-field results and the results of the T-matrix approximation.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
Sr2RuO4

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—Pressure not reportedunknown
Sr2-xLaxRuO4

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—Pressure not reportedunknown
Ca2RuO4

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—Pressure not reportedunknown
La2CuO4

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—Pressure not reportedunknown

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