A new class of collective excitations of the Hubbard model I: $η$ excitation of the negative--$U$ model

Details A new class of collective excitations of the Hubbard model I: $η$ excitation of the negative--$U$ model A new class of collective excitations of the Hubbard model I: $η$ excitation of the negative--$U$ model

1995-12-02

arxiv.org/abs/cond-mat/9512009v2

IJMP B 10, 2137 (1996)

Physics

Condensed Matter

30 pages, revtex 3.0 and epsf.sty (optional), 13 PostScript figures. Submitted to Phys. Rev. B. Minor changes, typos corrected

Scientific paper

10.1142/S0217979296000982

In this series of papers we present a detailed study of the particle--particle collective excitations of the Hubbard model, and their contribution to the density and spin excitation spectrum. In the first paper, we shall investigate the singlet particle--particle pair with momentum $(\pi,\pi)$, the $\eta$ particle, of the negative--$U$ Hubbard model. We review three previously obtained theorems about the $\eta$ particle and develop a self-consistent linear response theory which takes into account its contribution to the density excitation spectrum in the superconducting state. We show that this self--consistent theory agrees with the exact theorems as well as the results of numerical Monte Carlo simulations.

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