Electronic Spectra and Their Relation to the (pi,pi) Collective Mode in High-Tc Superconductors

Photoemission spectra of Bi2Sr2CaCu2O8 reveal that the high energy feature near (pi,0), the hump, scales with the superconducting gap and persists above Tc in the pseudogap phase. As the doping decreases, the dispersion of the hump increasingly reflects the wavevector (pi,pi) characteristic of the undoped insulator, despite the presence of a large Fermi surface. This can be understood from the interaction of the electrons with a collective mode, supported by our observation that the doping dependence of the resonance observed by neutron scattering is the same as that inferred from our data.