Rigorous results on superconducting ground states for attractive extended Hubbard models

Arianna Montorsi; David K. Campbell

doi:10.1103/PhysRevB.53.5153

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Rigorous results on superconducting ground states for attractive extended Hubbard models

Arianna Montorsi, David K. Campbell

DOI 10.1103/PhysRevB.53.5153 · Physical Review B

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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 ‘‘η-paired’’ state for any nonvanishing positive 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. © 1996 The American Physical Society.