Abstract

Abstract The magnetic properties of the half-filled one band Hubbard model is studied within the random phase approximation (RPA) above the mean field spin-density-wave (SDW) background. The spin wave spectrum and the sublattice magnetization are shown to interpolate smoothly between the weak and strong coupling limits. A hole in the SDW background is self-trapped in a region of reduced SDW amplitude and forms an object which we call the spin bag. The attraction among the two holes results due to the tendency to share the region of reduced SDW amplitude. A detailed calculation based on the RPA above the SDW background support this picture. The symmetries and the nodes of the resulting pairing gap are discussed.

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