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The N\'eel state in fermionic mixtures of two pseudospin species in anoptical lattice is analyzed at low temperatures. Experimentally it remains achallenge to demonstrate antiferromagnetic correlations in ultracold fermionicquantum gases. We find that, while in balanced systems the N\'eel orderparameter can point in any spatial direction, in imbalanced mixturesantiferromagnetism is strictly perpendicular to the quantization axis (i.e.,the z-axis). Since, experimentally, one always has to assume some minimalimbalance this should have important consequences for ongoing experiments.

Antiferromagnetic Order of Repulsively Interacting Fermions on Optical lattices