The properties of a system of coexisting local pairs and itinerant electrons described by the (hard-core) boson-fermion model are discussed. For the first time we include into analysis of the model not only the superconducting and non-ordered (normal) states but also the charge density wave phases as well as the so-called charge Kondo state. Within an extended mean-field approximation, a mutual stability of charge density wave, superconducting and charge Kondo states are determined at T = 0 in the case of half-filled fermionic and bosonic bands.
New mixed-valent copper chalcogenides BaCuS_{3-x} and K_{3}Cu_{8}X_{6} with X=Se or Te and KCu_{3}Se_{2}, with chemical patterns corresponding to the recently investigated K_{3}Cu_{8}S_{6} and KCu_{3}S_{2}, were synthesized. For these new samples the results of resistivity and magnetic susceptibility measurements are presented. For BaCuS_{3-x}, K_{3}Cu_{8}Se_{6} and KCu_{3}Se_{2} the metal-insulator transition is observed with the low temperature phase being metallic, which is untypical, whereas K_{3}Cu_{8}Te_{6} is a metal in the investigated temperature range. The temperature dependence of magnetic susceptibility of the studied samples testifies to their diamagnetic or weakly paramagnetic behaviour.
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