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When a van-Hove singularity is located in the vicinity of the Fermi level,the electronic scattering rate acquires a non-analytic contribution. Thisinvalidates basic assumptions of Fermi liquid theory and within perturbativetreatments leads to a non-Fermi liquid self-energy and transportproperties.Such anomalies are shown to also occur in the strongly correlatedmetallic state. We consider the Hubbard model on a two-dimensional squarelattice with nearest and next-nearest neighbor hopping within the single-sitedynamical mean-field theory. At temperatures on the order of the low-energyscale $T_0$ an unusual maximum emerges in the imaginary part of the self-energywhich is renormalized towards the Fermi level for finite doping. At zerotemperature this double-well structure is suppressed, but an anomalous energydependence of the self-energy remains. For the frustrated Hubbard model on thesquare lattice with next-nearest neighbor hopping, the presence of the van Hovesingularity changes the asymptotic low temperature behavior of the resistivityfrom a Fermi liquid to non-Fermi liquid dependency as function of doping. Theresults of this work are discussed regarding their relevance forhigh-temperature cuprate superconductors.

Non-Fermi liquid signatures in the Hubbard Model due to van Hove singularities