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We have developed a real space spin-parallel theory of superconductivitybased on the minimum principle in energy. This theory has successfully providedcoherent explanations to a number of complicated problems in conventional andnon-conventional superconductors. In this paper, we report the study theoptimal doping problem in the new oxypnictide high-temperature superconductorsusing aforementioned theory. In FeAs family, it is shown that there are threeoptimum (or quasi-optimum) doped phases at doping levels x1=1/3, 1/6 and 1/8,where the vortex lattice forms square or triangular stable configurations.While in Fe2As2 family, the optimal dopings occur at x2=2/5 and 1/2 with squareand triangular superconducting vortex line lattices, respectively.

Optimum and quasi-optimum doped superconducting phases in FeAs and Fe2As2 superconductors