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We propose an experiment to explore the magnetic phase transitions in interacting fermionic Hubbard systems and describe how to obtain the ferromagnetic phase diagram of itinerant-electron systems from these observations. In addition, signatures of ferromagnetic correlations in the observed ground states are found: for large trap radii (trap radius RT>4, in units of coherence length ξ), ground states are topological in nature---a ``skyrmion'' in two dimension, and a ``hedgehog'' in three dimension.
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Berdnikov et al. (2009) studied this question.
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