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

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.

13 pages, 3 figures, a few intermediate steps added for clarity

Cited by in corpus (5)

• W=0 Pairing in $(N,N)$ Carbon Nanotubes away from Half Filling
• W=0 pairing in Hubbard and related models of low-dimensional superconductors
• Repulsion-Sustained Supercurrent and Flux Quantization in Rings of Symmetric Hubbard Clusters
• Pairing in Cu-O Models: Clues of Joint Electron-Phonon and Electron-Electron Interactions
• "Spin-Disentangled" Exact Diagonalization of Repulsive Hubbard Systems: Superconducting Pair Propagation