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We determine antiferromagnetic (AF) signatures in the half-filled Hubbardmodel at strong coupling on a cubic lattice and in lower dimensions. Uponcooling, the transition from the charge-excitation regime to the AF Heisenbergregime is signaled by a universal minimum of the double occupancy at entropys=S/(N k_B)=s*=ln(2) per particle and a linear increase of the next-nearestneighbor (NNN) spin correlation function for s<s*. This crossover, driven by again in kinetic exchange energy, appears as the essential AF physics relevantfor current cold-atom experiments. The onset of long-range AF order (at low son cubic lattices) is hardly visible in nearest-neighbor spin correlationsversus s, but could be detected in spin correlations at or beyond NNNdistances.

Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices