  This paper presents numerical studies of the single hole tt't''J model that
address the interplay between the kinetic energy of itinerant electrons and the
exchange energy of local moments as of interest to doped Mott insulators. Due
to this interplay, two different spin correlations coexist around a mobile
vacancy. These local correlations provide an effective two-band picture that
explains the two-band structure observed in various theoretical and
experimental studies, the doping dependence of the momentum space anisotropic
pseudogap phenomena and the asymmetry between hole and electron doped cuprates.
