The renormalization of the extended Hubbard model proposed by Zhang and Rice [Phys. Rev. B 37, 3759 (1988)] that leads to the (nearest-neighbor-only) t-J model is scrutinized in the infinite correlation limit. We demonstrate that the ${U}_{d}$ , ${U}_{p}$ \ensuremath{\rightarrow}\ensuremath{\infty} limit obtained from the extended Hubbard model does not have the same ground state as the U\ensuremath{\rightarrow}\ensuremath{\infty} extrapolation of the t-J model.The renormalization of the extended Hubbard model proposed by Zhang and Rice [Phys. Rev. B 37, 3759 (1988)] that leads to the (nearest-neighbor-only) t-J model is scrutinized in the infinite correlation limit. We demonstrate that the ${U}_{d}$,${U}_{p}$\ensuremath{\rightarrow}\ensuremath{\infty} limit obtained from the extended Hubbard model does not have the same ground state as the U\ensuremath{\rightarrow}\ensuremath{\infty} extrapolation of the t-J model.

Physical review. B, Condensed matterFeb 1, 199021 citations

Ground States of the Hubbard Model

Assa Auerbach

Graduate texts in contemporary physicsJan 1, 19940 citations

{U}_{d}

{U}_{p}

\ensuremath{\rightarrow}\ensuremath{\infty} limit obtained from the extended Hubbard model does not have the same ground state as the U\ensuremath{\rightarrow}\ensuremath{\infty} extrapolation of the t-J model.