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Using the constrained-path Monte Carlo method, a two-orbital model for thepnictide superconductors is studied at half filling and in both the electron-and hole-doped cases. At half filling, a stable $(\pi,0)$/$(0,\pi)$ magneticorder is explicitly observed, and the system tends to be in an orthomagneticorder rather than the striped antiferromagnetic order when increasing theCoulomb repulsion $U$. In the electron-doped case, the $(\pi,0)$/$(0,\pi)$magnetic order is enhanced upon doping and suppressed eventually, and a$s_{\pm}$ pairing state dominates all the possible nearest-neighbor-bondpairings. Whereas in the hole-doped case, the magnetic order isstraightforwardly suppressed and two nearly degenerate $A_{1g}$ and $B_{1g}$intraband pairings become the dominant ones.

Magnetic and pairing properties of a two-orbital model for the pnictide superconductors: A quantum Monte Carlo study