Abstract
We study the magnetic response properties of both site and spatially disordered Anderson-Hubbard models via a random-phase-type approximation for collective excitations about stable, inhomogeneous mean-field ground states. For the site-disordered model, zero-temperature transitions between paramagnetic, disordered antiferromagnetic and spin-glass-like ground states are examined. Within broken symmetry phases, a microscopic picture of the response of the inhomogeneous distribution of local magnetic moments to an external field is obtained, and the role of disorder in leading to a strong site differential enhancement in local susceptibilities is highlighted.
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