Charge instabilities of the two-dimensional Hubbard model with attractive nearest neighbour interaction

Abstract : Attractive non-local interactions jointly with repulsive local interaction in a microscopic modelling of electronic Fermi liquids generate a competition between an enhancement of the static charge susceptibility-ultimately signalling charge instability and phase separation-and its correlation induced suppression. We analyse this scenario through the investigation of the extended Hubbard model on a two-dimensional square lattice, using the spin rotation invariant slave-boson representation of Kotliar and Ruckenstein. The quasiparticle density of states, the renormalised effective mass and the Landau parameter Fs 0 are presented, whereby the positivity of Fs 0 - 1 constitutes a criterion for stability. Van Hove singularities in the density of states support possible charge instabilities. A (negative) next-nearest neighbour hopping parameter t' shifts their positions and produces a tendency towards charge instability even for low filling whereas the t'-controlled particle-hole asymmetry of the correlation driven effective mass is small. A region of instability on account of the attractive interaction V is identified, either at half filling in the absence of strong electronic correlations or, in the case of large on-site interaction U, at densities far from half filling.
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R. Frésard, K. Steffen, T. Kopp. Charge instabilities of the two-dimensional Hubbard model with attractive nearest neighbour interaction. 18th International Conference on Recent Progress in Many-Body Theories (MBT18), Aug 2015, Niagara Falls, United States. pp.012003, ⟨10.1088/1742-6596/702/1/012003⟩. ⟨hal-02184769⟩

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