Ferromagnetic instability and finite-temperature properties of two-dimensional electron systems with van Hove singularities

Abstract

We study a ferromagnetic tendency in the two-dimensional Hubbard model near van Hove filling by using a functional renormalization-group method. We compute temperature dependences of magnetic susceptibilities including incommensurate magnetism. The ferromagnetic tendency is found to occur in a dome-shaped region around van Hove filling with an asymmetric property: incommensurate magnetism is favored near the edge of the dome above van Hove filling whereas a first-order-like transition to the ferromagnetic ground state is expected below van Hove filling. The dome-shaped phase diagram is well captured in the Stoner theory by invoking a smaller Coulomb interaction. Triplet p-wave superconductivity tends to develop at low temperatures inside the dome and extends more than the ferromagnetic region above van Hove filling.

9 pages, 3 figures

References in corpus (2)

• Half-metallic ferromagnets: From band structure to many-body effects
• The quantum critical behavior of antiferromagnetic itinerant systems with van Hove singularities of electronic spectrum

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