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We introduce a new and general mechanism for superconductivity in Fermisystems with strong repulsive interaction. Because kinetic terms are smallcompared to the bare repulsion, the dynamic of charge carriers is constrainedby the the presence of other nearby carriers. By treating kinetic terms as aperturbation around the atomic limit, we show that pairing can be induced bycorrelated multi-particle tunneling processes that favor two itinerant carriersto be close together. Our analytically-controlled theory provides aquantitative formula relating $T_c$ to microscopic parameters, with maximum$T_c$ reaching about 10% of the Fermi temperature. Our work demonstrates apowerful method for studying strong coupling superconductivity withunconventional pairing symmetry. It also offers a realistic new route torealizing finite angular momentum superfluidity of spin-polarized fermions inoptical lattice.

New mechanism and exact theory of superconductivity from strong repulsive interaction