We study the interplay of antiferromagnetic and superconducting orders in a two-dimensional Hubbard model with on-site repulsion and nearest-neighbor attractive interaction. This type of interaction has been widely used to model d-wave superconductivity. Our mean-field calculations indicate that such an attractive interaction enhances the staggered magnetization produced by the on-site repulsion. As a result, superconductivity is strongly suppressed. Stripe formation is also affected.

Physical review. B, Condensed matterOct 4, 200111 citations

On superconductivity in the two-band Hubbard model

V. A. Moskalenko, S. P. Kozhokaru, Nguyen Thi Que

Soviet Journal of Low Temperature PhysicsOct 1, 19910 citations

Physica C Superconductivity

Superconductivity in an attractive two-band Hubbard model with second nearest neighbors

D A Peraza-Salcedo, José Jesús Rodríguez-Núñez, I. Bonalde, Alex A. Schmidt

Published Mar 7, 2017• 1 citation

Publisher

DOI: 10.1016/j.physc.2017.03.001

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We study the attractive (i.e., negative-U) Hubbard model with nearest (t) and next-nearest-neighbor (

{\mathit{t}}_{2}

) hopping on a square lattice. A spin-down particle-hole transformation maps the negative-U model at any band filling onto a repulsive model with a magnetic field and at zero chemical potential; the sign of the second-neighbor hopping constant in this model depends on the spin state. For large \ensuremath{\Vert}U\ensuremath{\Vert},

{\mathit{t}}_{2}

induces a coupling between spin operators in next-nearest-neighbor sites: antiferromagnetic between the z components and ferromagnetic along the transverse direction. The superconducting transition is investigated through Monte Carlo simulations on the attractive model. Fixing both U and the band filling, we find that the critical temperature increases steadily with

{\mathit{t}}_{2}

In this work, a two-dimensional one-band Hubbard model is investigated within a two-pole approximation. The model presents a non-local attractive potential

U (U<0)

that allows the study of d-wave superconductivity and also includes hopping up to second-nearest-neighbors. The two-pole scheme has been proposed to improve the Hubbard-I approximation. The analytical results show a more complex form for the gap

Δ(T)

, when compared to the one obtained in the latter approximation. Indeed, new anomalous correlation functions associated with the superconductivity are involved in the calculation of

Δ(T)

. Numerical results in a range of temperatures are presented. Moreover, the structure of the quasiparticle bands and the topology of the Fermi surface are studied in detail in the normal state. Connections with some experimental results are also included.