Kondo--attractive-Hubbard model for the ordering of local magnetic moments in superconductors

Abstract

We consider local magnetic moments coupled to conduction electrons with on-site attraction, in order to discuss the interplay between pairing and magnetic order. We probe the ground state properties of this model on a one-dimensional lattice through pair binding energies and several correlation functions, calculated by means of density-matrix renormalization group. A phase diagram is obtained (for fixed electron density 1/3), from which we infer that coexistence between magnetic order and superconductivity is robust, at the expense of a continuous distortion of the magnetic arrangement of the local moments, as evidenced by a strong dependence of the characteristic wave vector k* with the coupling constants. This allows us to understand some trends of the coexistence, such as the influence of the rare earth on k*, as observed experimentally in the borocarbides.

4 two-column pages, 7 figures, RevTeX, to appear in Phys Rev B (RC)

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• Evolution of the magnetism of Tb(Co_{x}Ni_{1-x})_{2}B_{2}C
• Superconducting Kondo phase in an orbitally-separated bilayer
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• Superconducting Correlations in the One-Dimensional Kondo Lattice Models under Magnetic Fields
• Reentrant $s$-wave superconductivity in the periodic Anderson model with attractive conduction band Hubbard interaction