Abstract
A two-orbital model for Fe-pnictide superconductors is investigated using computational techniques on
two-dimensional square clusters. The hopping amplitudes are derived from orbital overlap integrals, or by
band structure fits, and the spin frustrating effect of the plaquette-diagonal Fe-Fe hopping is remarked. A
spin striped state is stable in a broad range of couplings in the undoped regime, in agreement with neutron
scattering. Adding two electrons to the undoped ground state of a small cluster, the dominant pairing
operators are found. Depending on the parameters, two pairing operators were identified: they involve
inter-xz-yz orbital combinations forming spin singlets or triplets, transforming according to the B2g and
A2g representations of the D4h group, respectively.
