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We review recent results, obtained with P. Fendley, on frustration of quantumcharges in lattice models for itinerant fermions with strong repulsiveinteractions. A judicious tuning of kinetic and interaction terms leads tomodels possessing supersymmetry. In such models frustration takes the form ofwhat we call superfrustration: an extensive degeneracy of supersymmetric groundstates. We present a gallery of examples of superfrustration on a variety of 2Dlattices.

Superfrustration of charge degrees of freedom