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A two-orbital model for Fe-pnictide superconductors is investigated usingcomputational techniques on two-dimensional square clusters. The hoppingamplitudes are derived from orbital overlap integrals, or by band structurefits, and the spin frustrating effect of the plaquette-diagonal Fe-Fe hoppingis remarked. A spin 'striped' state is stable in a broad range of couplings inthe undoped regime, in agreement with neutron scattering. Adding two electronsto the undoped ground state of a small cluster, the dominant pairing operatorsare found. Depending on parameters, two pairing operators were identified: theyinvolve inter-xz-yz orbital combinations forming spin singlets or triplets,transforming according to the B_2g and A_2g representations of the D_4h group,respectively.

Model for the Magnetic Order and Pairing Channels in Fe Pnictide Superconductors