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Different scenarios of the implementation of the two-band model in stronglycorrelated electrons systems, including frustrated magnets, high-temperaturesuperconductors, and Kondo lattices, are considered. The interaction of currentcarriers with magnetic moments in the representations of pseudofermions orSchwinger bosons describing the spinon excitations is studied on the basis ofthe derived Hamiltonians of the $s-d$ exchange and $t-J$ models within theformalism of many-electron Hubbard operators.

Formation of exotic states in the $s-d$ exchange and $t-J$ models