Abstract
We test the response to a threading magnetic field of rings of five-site ${C}_{4v}$-symmetric repulsive Hubbard clusters connected by weak intercell links; each five-site unit has the topology of a ${\mathrm{CuO}}_{4}$ cluster and a repulsive interaction is included on every site. In a numerical study of the three-unit ring with eight particles, we take advantage of an exact-diagonalization technique which can be generally applied to many-fermion problems. For O-O hopping we find a superconducting flux quantization (SFQ), but for purely Cu-Cu links bound pair propagation is hindered by symmetry. The results agree with $W=0$ pairing theory.
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