Spin- and Charge Excitations of the Triangular Hubbard-Model: a FLEX-Study

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A study of the quasi-particle excitations and spin fluctuations in the one-band Hubbard-model on the triangular lattice with nearest- and next-nearest-neighbor hopping is presented. Using the fluctuation-exchange-approximation (FLEX) results for the quasi-particle dispersion and life-time, the Fermi surface, and the static spin structure factor will be discussed for a wide range of dopings and as a function of the Coulomb correlation strength U. It is shown that the renormalization of the spin- and charge-dynamics is sensitive to the interplay between van Hove singularity-effects and the nesting, which is influenced by the next-nearest-neighbor hopping. For all dopings investigated, the energy-dependence of the quasi-particle life time is found to be of conventional Fermi-liquid nature. At intermediate correlation strength the static structure factor is strongly doping dependent, with a large commensurate peak at the K-point for 1.35 electrons per site and weak, incommensurate intensities occuring at lower electron densities. The relevance of this model to the recently discovered cobaltates NaₓCoO₂.yH₂O will be discussed.