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The magnetic ground state phase diagram of the disordered Hubbard model athalf-filling is computed in dynamical mean-field theory supplemented with thespin resolved, typical local density of states. The competition betweenmany-body correlations and disorder is found to stabilize paramagnetic andantiferromagnetic metallic phases at weak interactions. Strong disorder leadsto Anderson localization of the electrons and suppresses the antiferromagneticlong-range order. Slater and Heisenberg antiferromagnets respondcharacteristically different to disorder. The results can be tested with coldfermionic atoms loaded into optical lattices.

Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder