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The results of a previous work, where it was considered the effect of holedoping on a simple model of the CuO2 planes in La2CuO4, are extended. Theparameters are adjusted with the objective to fix the known values of the gapof 2 eV for this material and its dielectric constant of 21. We find againindications of a "hidden" phase transition beneath the superconductor dome. Thetransition is a second order one, and is associated with an energeticcoincidence of a ground insulator state (AFA)with an excited paramagnetic stateshowing a pseudogap (PPG), at a critical point of the hole concentration aroundxc=0.2. The evolution as a function of doping of the band structures and theFermi surface of the system in the phases AFA and PPG, is shown. In the zone oflow doping, the holes begin to occupy the states located at the mid of thesides of the Brillouin zone, that in the AFA states have the strongestantiferromagnetic character. Around the critical doping the results show thatin both phases, the Fermi surfaces and the energy spectrum of the filledelectronic states tend to coincide.

Optimization of a model for the CuO planes in La2CuO4