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A flattened electronic band is one of several possible routes for increasingthe strength of the pairing interactions in a superconductor. With this inmind, we show here that thermodynamic measurements of the high-Tc cupratesreveal an appreciably stronger electron correlation-driven flattening of thequasiparticle bands than has previously been indicated. Specifically, we findthat thermodynamic measurements indicate an electronic entropy in excess ofthat that can be accounted for by the value of the universal Fermi velocityinferred from photoemission experiments. The observed band flattening impliesthat the Van Hove singularity features prominently in calorimetry measurements,causing it undermine prior arguments for a divergence in the renormalization ofthe effective mass near a critical doping $p^\ast$ based on calorimetrymeasurements. The band flattening is also sufficient to drive the cuprates intoa strong pairing regime where the maximum transition temperature becomesconstrained by phase fluctuations.

Thermodynamic evidence for electron correlation-driven flattening of the quasiparticle bands in the high-Tc cuprates