Maximal Stability Regions for Superconducting Ground States of Generalized Hubbard Models

Details Maximal Stability Regions for Superconducting Ground States of Generalized Hubbard Models Maximal Stability Regions for Superconducting Ground States of Generalized Hubbard Models

1999-04-09

arxiv.org/abs/cond-mat/9904128v1

Physics

Condensed Matter

Superconductivity

9 pages, 5 PostScript figures, submitted to Phys. Rev. Lett

Scientific paper

10.1007/s100510051061

For a class of generalized Hubbard models, we determine the maximal stability region for the superconducting eta-pairing ground state. We exploit the Optimized Ground State (OGS) approach and the Lanczos diagonalization procedure to derive a sequence of improved bounds. We show that some pieces of the stability boundary are asymptotic, namely independent on the OGS cluster size. In this way, necessary and sufficient conditions are obtained to realize superconductivity in terms of an eta-pairing ground state. The phenomenon is explained by studying the properties of certain exact eigenstates of the OGS hamiltonians.

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