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Pairing in the Hubbard model: the Cu_{5}O_{4} Cluster versus the Cu-O plane

Michele Cini·Adalberto Balzarotti·Gianluca Stefanucci
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Abstract

We study the Cu_{5}O_{4} cluster by exact diagonalization of a three-band Hubbard model and show that bound electron or hole pairs are obtained at appropriate fillings, and produce superconducting flux quantisation. The results extend earlier cluster studies and illustrate a canonical transformation approach to pairing that we have developed recently for the full plane. The quasiparticles that in the many-body problem behave like Cooper pairs are W=0 pairs, that is, two-hole eigenstates of the Hubbard Hamiltonian with vanishing on-site repulsion. The cluster allows W=0 pairs of d symmetry, due to a spin fluctuation, and s symmetry, due to a charge fluctuation. Flux quantisation is shown to be a manifestation of symmetry properties that hold for clusters of arbitrary size.

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Michele Cini, Adalberto Balzarotti, Gianluca Stefanucci. 1999-07-23. Pairing in the Hubbard model: the Cu_{5}O_{4} Cluster versus the Cu-O plane. https://doi.org/10.1007/s100510050129

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