"Spin-Disentangled" Exact Diagonalization of Repulsive Hubbard Systems: Superconducting Pair Propagation

Abstract

By a novel exact diagonalization technique we show that bound pairs propagate between repulsive Hubbard clusters in a superconducting fashion. The size of the matrices that must be handled depends on the number of fermion configurations {\em per spin}, which is of the order of the square root of the overall size of the Hilbert space. We use CuO${}_4$ units connected by weak O-O links to model interplanar coupling and c-axis superconductivity in Cuprates. The numerical evidence on Cu${}_2$O${}_8$ and Cu${}_3$O${}_{12}$ prompts a new analytic scheme describing the propagation of bound pairs and also the superconducting flux quantization in a 3-d geometry.

5 pages, 3 figures

References in corpus (5)

• Does the Hubbard Model Show $d_{x^2-y^2}$ Superconductivity?
• Fluctuation Exchange Analysis of Superconductivity in the Standard Three-Band CuO2 Model
• Canonical Transformation of the Three-Band Hubbard Model and Hole Pairing
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Cited by in corpus (1)

• W=0 pairing in Hubbard and related models of low-dimensional superconductors