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We present realistic multiband calculations of scanning tunneling spectra inBi_{2}Sr_{2}CaCu_{2} O_{8+\delta} over a wide doping range. Our modelingincorporates effects of a competing pseudogap and pairing gap as well aseffects of strong electronic correlations, which are included by introducingself-energy corrections in the one-particle propagators. The calculationsprovide a good description of the two-gap features seen in experiments at lowenergies and the evolution of the Van Hove singularity (VHS) with doping, andsuggest a possible quantum critical point near the point where the VHS crossesthe Fermi level.

Evidence of strong correlations at the van Hove singularity in the  scanning tunneling spectra of superconducting  Bi_{2}Sr_{2}CaCu_{2}O_{8+\delta} single crystals