Abstract
Abstract We calculate the self-energy at weak-coupling for the t – t ′ Hubbard model within the one-loop functional RG approach. At van Hove (vH) band fillings the quasiparticle (qp) concept is found invalid at k F =( π , 0). At low temperature the qp weight along the Fermi surface continuously vanishes from a finite value at the zone diagonal towards the ( π , 0) point. Away from vH band fillings the qp peak is formed inside a pseudogap of size Δ, and within a finite frequency window | ω |≪ Δ around the Fermi energy the electronic self-energy has the conventional Fermi-liquid form. With increasing separation between Fermi level and vHs the spectral anomalies gradually disappear.
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