Canonical Transformation of the Three-Band Hubbard Model and Hole Pairing

Abstract

We propose a canonical tranformation approach to the effective interaction $W_{eff}$ between two holes, based on the three-band Hubbard model but ready to include extra interactions as well. An effective two-body Hamiltonian can in principle be obtained including any kind of virtual intermediate states. We derive the closed-form analytic expression of the effective interaction including 4-body virtual states, describing the exchange of an electron-hole pair to all orders. The resulting integral equation, valid for the full plane, leads to a Cooper-like instability of the Fermi liquid. The two-hole bound states generalize those reported earlier in cluster calculations by exact diagonalisation methods.

10 pages, no figures, accepted by Solid State Communications

References in corpus (2)

• Weak Pseudogap Behavior in the Underdoped Cuprate Superconductors
• Fluctuation Exchange Analysis of Superconductivity in the Standard Three-Band CuO2 Model

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• "Spin-Disentangled" Exact Diagonalization of Repulsive Hubbard Systems: Superconducting Pair Propagation
• Antiferromagnetism of the 2D Hubbard Model at Half Filling: Analytic Ground State at Weak Coupling