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We study the anisotropy energy in a planar model for the Cu-O layers of theLa2CuO4 investigated in previous works. The Tight-Binding (TB) potential of themodel was extended out of the validity region with the purpose of incorporateit in the potential. Next, the spin-orbit operator was considered in theHartree Fock solution of the full HF problem. It follows that in spite of thefact that the extended potential possesses the square symmetry of thecrystalline structure, the anisotropy energy vanishes in its purely 2Dformulation. The result indicates that for the prediction by the model of theobserved non vanishing magnetic anisotropy at zero doping and temperature inLa2CuO4, its formulation requires of a 3D representation of its Wannierorbitals and the use of d like orbitals. The consideration of more realistic 3Dcharacter of the model, by including multiple CuO planes, also could beimportant due to the argued absence of long range order in 2D.

Study of the magnetic anisotropy in a planar model of the La2CuO4