Rigorous results on superconducting ground states for attractive extended Hubbard models

Abstract

We show that the exact ground state for a class of extended Hubbard models including bond-charge, exchange, and pair-hopping terms, is the Yang "eta-paired" state for any non-vanishing value of the pair-hopping amplitude, at least when the on-site Coulomb interaction is attractive enough and the remaining physical parameters satisfy a single constraint. The ground state is thus rigorously superconducting. Our result holds on a bipartite lattice in any dimension, at any band filling, and for arbitrary electron hopping.

12 pages

References in corpus (1)

• $\eta$-pairing as a mechanism of superconductivity in models of strongly correlated electrons

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