First principles electronic model for high-temperature superconductivity

Using the structural data of the La2CuO4 compound both in the distorted low-temperature tetragonal phase and in the isotropic phase, we have derived an effective t-J model with hoppings t and superexchange interactions J extended up to the fourth- and second-nearest-neighbors, respectively. By numerically studying this Hamiltonian we have then reproduced the main experimental features of this high-temperature superconductivity compound: d-wave superconductivity is stabilized at small but finite doping deltagreater than or similar to6% away from the antiferromagnetic region and some evidence of dynamical stripes is found at commensurate filling 1/8.