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Recent experiments on iron pnictides have uncovered a large in-planeresistivity anisotropy with a surprising result: the system conducts better inthe antiferromagnetic x direction than in the ferromagnetic y direction. Weaddress this problem by calculating the ratio of the Drude weight along the xand y directions, Dx/Dy, for the mean-field Q=(\pi,0) magnetic phase diagram ofa five-band model for the undoped pnictides. We find that Dx/Dy ranges between0.3 < D_x/D_y < 1.4 for different interaction parameters. Large values oforbital ordering favor an anisotropy opposite to the one found experimentally.On the other hand D_x/D_y is strongly dependent on the topology and morfologyof the reconstructed Fermi surface. Our results points against orbital orderingas the origin of the observed conductivity anisotropy, which may be ascribed tothe anisotropy of the Fermi velocity.

Conductivity anisotropy in the antiferromagnetic state of iron pnictides