d-wave superconductivity from correlated hopping interactions determined by angle-resolved photoemission spectroscopy

Starting from a generalized Hubbard model, in which correlated-hopping interactions are considered in addition to the on-site repulsive Coulomb one, we solve numerically two coupled integral equations [1] within the Bardeen-Cooper-Schrieffer formalism, in order to quantify the doping effects on the critical temperature ($T_{c})$, $d$-wave superconducting gap, and the electronic specific heat. Within the mean-field approximation, we have determined the single and correlated electron hopping parameters for La$_{2-x}$Sr$_{x}$CuO$_{4}$ compound by using angle-resolved photoemission spectroscopy (ARPES) data [2]. The resulting parametrized Hubbard model is able to explain the experimental $T_{c}$ variation as a function of the doping level ($x)$. In addition, the observed power-law behavior of the superconducting specific heat is reproduced by this correlated-hopping Hubbard model without adjustable parameters. [1] L.A. P\'{e}rez, J.S. Mill\'{a}n, C. Wang, \textit{Int. J. Mod. Phys. B} \textbf{24}, 5229-5239 (2010). [2] T. Yoshida, \textit{et al}., \textit{Phys. Rev. B} \textbf{74,} 224510 (2006).