On the violation of the Fermi-liquid picture in two-dimensional systems owing to the Van-Hove singularities

Abstract

We consider the two-dimensional t-t' Hubbard model with the Fermi level being close to the van Hove singularities. The phase diagram of the model is discussed. In a broad energy region the self-energy at the singularity points has a nearly-linear energy dependence. The corresponding correction to the density of states is proportional to ln^3(e). Both real- and imaginary part of the self-energy increase near the quantum phase transition into magnetically ordered or superconducting phase which implies violation of the Fermi-liquid behavior. The application of the results to cuprates is discussed.

16 pages, RevTeX, 5 figures; The errors of the published version (PRB 64, 205105, 2001) are corrected

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• Non-Fermi liquid signatures in the Hubbard Model due to van Hove singularities
• Weak ferromagnetism and other instabilities of the two-dimensional t-t' Hubbard model at Van Hove fillings
• Role of the van Hove Singularity in the Quantum Criticality of the Hubbard Model